数学中国

标题: 求数列的通项公式 [打印本页]

作者: ysr    时间: 2014-11-15 18:18
标题: 求数列的通项公式
求如下数列的通项公式:11,17,41,101,221,431,767,……
作者: 中国上海市    时间: 2014-11-15 22:19
11,17,41,101,221,431,767
6,24,60,120,210,336
18,36,60,90,126
18,24,30,36
6,6,6
后一项依次减前一项,到第四遍的时候就是个常数了,也就是说到第三遍的时候就是个等差数列了,很好求的
作者: luyuanhong    时间: 2014-11-16 18:42
[attach]32701[/attach]

[attach]32702[/attach]
作者: ysr    时间: 2014-11-19 13:02
太感谢了,非常好!谢谢陆教授,谢谢中国上海市先生!陆教授的太好了,原来公式就是:an=11+(n-1)n(n+1)(n+2)/4,n>=2.
作者: ysr    时间: 2014-11-28 14:04
谢谢教授!我用公式编了程序,可以不用从头递推直接求中间任意1个
作者: ysr    时间: 2014-12-2 17:18
本帖最后由 ysr 于 2014-12-7 05:13 编辑

这是我推测的数列,原来没有通项公式,谢谢教授!猜测此数列有这样的特性:其中的素数及大因子合数p输入公式p+n(n+1)前p-1项内素数密度较高,主楼的可以叫元帅数列,公式p+n(n+1)可以叫欧拉数列
作者: ysr    时间: 2014-12-7 13:46
本帖最后由 ysr 于 2014-12-7 05:50 编辑

如下125为元帅数列程序,输入100则得到前100项(素数合数是分开的),括号中数值为项数:

如下123为欧拉数列程序,输入素数则得到前50项,(素数合数是分开的),括号中数值为项数:
作者: ysr    时间: 2020-8-19 12:42
本帖最后由 ysr 于 2020-8-19 04:44 编辑

1与100之间的以数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有40个连续素数:
3
/17/19/23/29/37/47/59/73/89/107/127/149/173/199/227/257
/41/43/47/53/61/71/83/97/113/131/151/173/197/223/251/281/313/347/383/421
/461/503/547/593/641/691/743/797/853/911/971/1033/1097/1163/1231/1301/1373/1447/1523/1601

程序代码如下:(仅发主程序)
Private Sub Command1_Click()
Dim a, b
a = Val(Text1)
a1 = a
Q = Val(Text2)
m = Sqr(Q)
If Right(a, 1) Mod 2 = 0 Then
a = a + 1
Else
a = a
End If

Do While InStr(fenjieyinzi0(Val(a)), "*") <> 0
a = a + 2
Loop
s101 = 1
Do While a <= Q
b = a + s2
d = fenjieyinzi0(Val(b))
s = 0
s3 = ""
Do While s < 40 And InStr(d, "*") = 0
s4 = s + 1
If s4 Mod 20 = 0 Then
s3 = s3 & "/" & b & vbCrLf
Else
s3 = s3 & "/" & b
End If
s = s + 1
s2 = s * (s + 1)
b = a + s2
d = fenjieyinzi0(Val(b))
Loop
If s > 2 Then
Text3 = Text3 & s3 & vbCrLf
ElseIf InStr(fenjieyinzi0(Val(a)), "*") = 0 Then
Text3 = Text3 & a & vbCrLf
End If
If s > 1 Then
s5 = s5 & "/" & s
Else
s5 = s5
End If
Print s5
s101 = s101 + 1
a = 11 + (s101 - 1) * s101 * (s101 + 1) * (s101 + 2) / 4
s2 = 0
Loop
s6 = Mid(s5, 2)
     s7 = max(Trim(s6))
Combo1 = a1 & "与" & Q & "之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有" & s7 & "个连续素数:" & vbCrLf & Text3

     
Text4 = s5
End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Combo1 = ""
Form1.Cls
End Sub
Private Function max(ByVal lists As String) As String
Dim temp As Long
Dim a() As String
a = Split(lists, "/")
Dim b As Long

For b = 0 To UBound(a)
If temp < a(b) Then temp = a(b)
Next
max = temp
End Function

作者: ysr    时间: 2020-8-19 13:12
18371与10000000000之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有3个连续素数:
18371
122861
188801
215771
548351
671591
1624361
1897517
2925821
3347081
4062251
5501381
6530591
17518421
/19101281/19101283
/20789051/20789053/20789057
49287431
70299851
86778551
112031651
131687111
201512231
226517561
259516001
265347821
283434071
/428717741/428717743
/437207201/437207203
/529207031/529207033
549222671
559440767
/669645017/669645019
755947541
782069201
808862051
953296511
984359261
2177575571
2384124767
/2508557321/2508557323
2670874091
2840943311
3282201401
/3687586361/3687586363
/4083529517/4083529519
4510532771
4710694601
5753905181
6431959811
7029900191
/8747393267/8747393269

所以,以该数列中的素数打头的多项式,并不能输出太多的连续素数。

作者: ysr    时间: 2020-8-19 13:39
96637359101与10000000000000之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有4个连续素数:
96637359101
259635597491
271138383401
277571449361
278654655017
280830574301
281923300271
288546774401
/289661931017/289661931019
293026801091
303297474911
306780285017
317408855501
344551977221
373399823171
385708691981
402590884511
448769359517
470877988241
474101791061
475719885911
487162818881
508960248821
527968631621
529722680231
/569429460641/569429460643
580635618041
605482406267
611327733761
657559620911
/676345872017/676345872019/676345872023/676345872029
744148632251
771717447161
774048919811
824241555017
902747967041
/910632187181/910632187183
931909310681
964521392111
995160868517
1020767719241
1052732430767
1162613358281
1168959923051
1191377707517
1240500319517
/1280879565851/1280879565853
1343286795017
/1346819436161/1346819436163
1393380752651
1397011712267
1437422354561
1478703424391
1520867332001
/1544242398311/1544242398313
1563926575481
1636351360811
1694398157801
1698602619731
1779984239771
1788717667481
1815110854871
/1886921190767/1886921190769/1886921190773
1970231918861
1974939760961
2046574872821
2299500804521
2374340451221
2385179082017
/2417917706201/2417917706203
2439929910767
2686171853081
2727955980767
2764157293211
2812984745231
2831460780341
3099802151261
3234082504391
3316716625421
3330641425031
3415113240017
3457946657591
3530229511001
3552133668821
3715894279901
3784493617517
/3948250467431/3948250467433
4216248275861
4359516410981
4419558073361
4550305457891
4621212239711
4738199204351
4931852704517
4941219946121
5026126819517
/5257897153121/5257897153123
5336906220461
5426852123171
5436915826691
5672268630767
5682671691071
5893753994741
6012326068031
6132678304211
6243649114181
6390154543511
6493081163267
6620563145081
/6773633467031/6773633467033
6809331071441
6881149384841
7149353499767
7476344538401
7920720712517
8204904800831
8301310558811
8384618080031
8496668244131
8781706962641
8854073360831
9464479997171
9479751445331
9679966788971
9962403287267

作者: ysr    时间: 2020-8-21 13:39
1000000000与100000000000000之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有4个连续素数:
1000000007
2177575571
2384124767
2508557321
2670874091
2840943311
3282201401
3687586361
4083529517
4510532771
4710694601
5753905181
6431959811
7029900191
8747393267
10952145767
11738530691
11839724921
11941572017
12044074781
12147236021
12996570017
14353118231
16714740521
18349276151
18632932517
23977128881
27999496241
/29782993517/29782993519/29782993523
30602429171
31650366941
32291910311
32943157517
34050398267
37540031267
39507326471
43403263901
52361109461
53296108751
54882198641
55850687267
58496017751
/66256047017/66256047019/66256047023
68500237361
71580594581
71972817017
81016798601
85398080681
91827483941
/95660613401/95660613403/95660613407
96637359101
99612512621
105244767821
106293930767
112754588321
126554860781
130194319811
132663857141
140933043521
161487842891
163660297961
171060410441
185009666267
/216345451781/216345451783/216345451787
217244082941
221779303301
244544590721
246517711541
259635597491
271138383401
277571449361
278654655017
280830574301
281923300271
288546774401
289661931017
293026801091
303297474911
306780285017
317408855501
344551977221
373399823171
385708691981
402590884511
448769359517
470877988241
474101791061
475719885911
487162818881
508960248821
527968631621
529722680231
569429460641
580635618041
605482406267
611327733761
657559620911
/676345872017/676345872019/676345872023/676345872029
744148632251
771717447161
774048919811
824241555017
902747967041
910632187181
931909310681
964521392111
995160868517
1020767719241
1052732430767
1162613358281
1168959923051
1191377707517
1240500319517
1280879565851
1343286795017
1346819436161
1393380752651
1397011712267
1437422354561
1478703424391
1520867332001
1544242398311
1563926575481
1636351360811
1694398157801
1698602619731
1779984239771
1788717667481
1815110854871
/1886921190767/1886921190769/1886921190773
1970231918861
1974939760961
2046574872821
2299500804521
2374340451221
2385179082017
2417917706201
2439929910767
2686171853081
2727955980767
2764157293211
2812984745231
2831460780341
3099802151261
3234082504391
3316716625421
3330641425031
3415113240017
3457946657591
3530229511001
3552133668821
3715894279901
3784493617517
3948250467431
4216248275861
4359516410981
4419558073361
4550305457891
4621212239711
4738199204351
4931852704517
4941219946121
5026126819517
5257897153121
5336906220461
5426852123171
5436915826691
5672268630767
5682671691071
5893753994741
6012326068031
6132678304211
6243649114181
6390154543511
6493081163267
6620563145081
6773633467031
6809331071441
6881149384841
7149353499767
7476344538401
7920720712517
8204904800831
8301310558811
8384618080031
8496668244131
8781706962641
8854073360831
9464479997171
9479751445331
9679966788971
9962403287267
10170196166561
10283421934517
10348545334151
11016925999811
11034039671267
11415610311311
11503693332401
11627864711201
12061239311981
12300981432911
12431544179771
12487816649921
12829473912461
12867863939591
13041686312267
13080551440331
13139011924517
13493900620631
13957774456121
14204490374351
14349909956267
14601794891681
14707719719171
15115498146101
15399349564211
15576002809391
15620402582501
16069639611731
16160637180881
16528497591161
16621435686671
16926193195181
17403210212951
17694217396061
17939498369531
18187320650951
18387419971091
18462881250881
18665246988581
/19049161401701/19049161401703/19049161401707/19049161401713
19941275234801
20263497748511
20453254988267
20726644785767
21169757724671
21393959754971
22019701717751
22395851113061
23222370662651
23979477806351
24071558907017
25038669942101
25774817149001
26067248366501
26692768748531
27093591727661
27160831887641
27498911967551
28011937609541
28707097767911
29094906966941
29130356137781
30208978416641
30759386047121
31130479901441
31167773078921
31392236280017
31958698506017
33036566837291
33271041059141
33585612200801
33704149553267
33902408743517
34341656890811
35809087780841
36183178425281
37195086994517
38141178805181
39105205415651
39549389057741
39638677901561
41042082681701
42153926178641
42623799644801
43145185681511
43192820443511
43767519568517
44640297514271
44836007544941
45824228040251
46374663101141
46980777333767
47541583496651
47644085198441
47952584973191
49306763625017
49359413666261
49835163657017
50958617699441
53485812246611
53878469978231
53934739920767
55183867673651
55701078252551
55932112894517
56338152009761
57156858406451
58341877732421
58640989565351
59242662152561
61633529743517
61758057618281
62383529907311
62698041685901
63267157978301
65322110401901
65974429553771
68228913346331
71857875994517
72067526858351
76797013055501
76943869987001
77459528431001
78200674060121
79925486351141
80001119647901
81525089236511
81832477023041
82295187517241
83148583283651
83616859994861
84322980207281
84875269264517
87920899481621
90299777361791
90465598106951
92388996474491
93065139585767
93404599470641
95029733074091
96763214612081
96937857718517
97990686051611
99943118091191

作者: ysr    时间: 2020-8-21 13:40
本帖最后由 ysr 于 2020-8-21 08:07 编辑

代码如下,只发主程序:
Private Sub Command1_Click()
Dim a, b
a = Val(Text1)
a1 = a
Q = Val(Text2)
m = Sqr(Q)
If Right(a, 1) Mod 2 = 0 Then
a = a + 1
Else
a = a
End If

Do While InStr(fenjieyinzi0(Val(a)), "*") <> 0
a = a + 2
Loop
s101 = Int(((a - 11) * 4) ^ (1 / 4))
Do While a <= Q
b = a + s2
d = fenjieyinzi0(Val(b))
s = 0
s3 = ""
Do While s < 40 And InStr(d, "*") = 0
s4 = s + 1
If s4 Mod 20 = 0 Then
s3 = s3 & "/" & b & vbCrLf
Else
s3 = s3 & "/" & b
End If
s = s + 1
s2 = s * (s + 1)
b = a + s2
d = fenjieyinzi0(Val(b))
Loop
If s > 2 Then
Text3 = Text3 & s3 & vbCrLf
ElseIf InStr(fenjieyinzi0(Val(a)), "*") = 0 Then
Text3 = Text3 & a & vbCrLf
End If
If s > 1 Then
s5 = s5 & "/" & s
Else
s5 = s5
End If
Print s5
s101 = s101 + 1
If s101 < 10000 Then
a = 11 + (s101 - 1) * s101 * (s101 + 1) * (s101 + 2) / 4
Else
b5 = MbC(Val(s101 - 1), Val(s101)): b6 = MbC(Val(s101 + 1), Val(s101 + 2))
a = MPC1(11, MCC1(MbC(Trim(b5), Trim(b6)), 4))
End If
s2 = 0
Loop
s6 = Mid(s5, 2)
     s7 = max(Trim(s6))
Combo1 = a1 & "与" & Q & "之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有" & s7 & "个连续素数:" & vbCrLf & Text3

     
Text4 = s5
End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Combo1 = ""
Form1.Cls
End Sub
Private Function max(ByVal lists As String) As String
Dim temp As Long
Dim a() As String
a = Split(lists, "/")
Dim b As Long

For b = 0 To UBound(a)
If temp < a(b) Then temp = a(b)
Next
max = temp
End Function
作者: ysr    时间: 2020-8-23 07:25
100000000000000与1E+15之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有0个连续素数:
100000000000031

作者: ysr    时间: 2020-8-23 13:33
本帖最后由 ysr 于 2020-8-23 08:29 编辑

2000000002560000与9000000002560000之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有3个连续素数:
2000000002560029
504229292957561
514845879436451
516069790091741
528741074691281
529365095972171
529677313663691
533120831058701
546423467368517
549306117235691
561277008642521
567170919437861
568486956148271
575433763228211
575766143741267
581103840255131
582108775351841
588503665959941
592569599276267
594269941410767
603859580764481
615659635187621
616359099322991
616709054808767
624799241124251
651004789406831
652464134107517
/654657749824691/654657749824693/654657749824697
656489984265671
659061570445841
667935828402581
675024598106471
678778114410281
691657256887517
703945405548941
718749424297517
725842778819441
727426183334771
727822438916051
730203373197911
739384442949011
744611885818517
747842520477401
748247087705141
757189168901981
763331829600071
767860144173821
771166096365017
774898040097101
779060512750691
785755321412267
789961429593767
794184401532017
798849202030331
814259607970001
818579564678081
837351560535767
842647396963721
851975508315791
852867921229517
870863855712017
871771064567141
886842592909517
890064542768561

作者: ysr    时间: 2020-8-23 16:30
程序代码如下:(只发主程序)
Private Sub Command1_Click()
Dim a, b
a = Trim(Text1)
a1 = a
Q = Trim(Text2)
m = Sqr(Q)
If Right(a, 1) Mod 2 = 0 Then
a = MPC1(Trim(a), 1)
Else
a = a
End If

Do While InStr(fenjieyinzi0(Trim(a)), "*") <> 0
If a < 10 ^ 10 Then
a = a + 2
Else
a = MPC1(Trim(a), 2)
End If
Loop
If a < 10 ^ 14 Then
s101 = Int((Val(a - 11) * 4) ^ (1 / 4))
Else
s102 = zhengchuqy(MBBC(Trim(a)))
s101 = zhengchuqy(MBBC(Trim(s102)))
End If
Print s101
Do While a <= Q
If a < 1000000000 Then
b = a + s2
Else
b = MPC1(Trim(a), Trim(s2))
End If
d = fenjieyinzi0(Trim(b))
s = 0
s3 = ""
Do While s < 40 And InStr(d, "*") = 0
s4 = s + 1
If s4 Mod 20 = 0 Then
s3 = s3 & "/" & b & vbCrLf
Else
s3 = s3 & "/" & b
End If
s = s + 1
s2 = s * (s + 1)
If a < 1000000000 Then
b = a + s2
Else
b = MPC1(Trim(a), Trim(s2))
End If
d = fenjieyinzi0(Trim(b))
Loop
If s > 2 Then
Text3 = Text3 & s3 & vbCrLf
ElseIf InStr(fenjieyinzi0(Trim(a)), "*") = 0 Then
Text3 = Text3 & a & vbCrLf
End If
If s > 1 Then
s5 = s5 & "/" & s
Else
s5 = s5
End If
Print s5
If s101 < 10000 Then
s101 = s101 + 1
Else
s101 = MPC1(Trim(s101), 1)
End If
If s101 < 1000 Then
a = 11 + (s101 - 1) * s101 * (s101 + 1) * (s101 + 2) / 4
Else
b5 = MbC(Val(s101 - 1), Val(s101)): b6 = MbC(Val(s101 + 1), Val(s101 + 2))
Print b5, b6
a = MPC1(11, zhengchuqy(MCC1(MbC(Trim(b5), Trim(b6)), 4)))
End If
s2 = 0
Loop
s6 = Mid(s5, 2)
     s7 = max(Trim(s6))
Combo1 = a1 & "与" & Q & "之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有" & s7 & "个连续素数:" & vbCrLf & Text3

     
Text4 = s5
End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Combo1 = ""
Form1.Cls
End Sub
Private Function max(ByVal lists As String) As String
Dim temp As Long
Dim a() As String
a = Split(lists, "/")
Dim b As Long

For b = 0 To UBound(a)
If temp < a(b) Then temp = a(b)
Next
max = temp
End Function

作者: ysr    时间: 2020-8-25 15:21
100000000000000与900000000000000之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有3个连续素数:
100000000000031
102015342969971
102106164552851
104951839404611
105137451112691
106069205319101
106725108385451
110242702620767
112179925207517
112472695643921
113256218638301
113551092577271
119877524350751
121008679155641
122564040777371
123085811209631
125825923573451
127964635813181
129260880166331
129369343250171
130239507123767
134098194906017
138726713711141
140103785700491
140219002629521
140449649662181
142538300262551
145240929992441
145596259337267
146785400827517
150761304401621
154817436221801
155190190733771
155812943557541
160352265465767
160479756831671
160734967618781
161374326319091
161630603127017
163045586113841
163433097753131
163562421668267
164859886249517
168931120019861
173753115405491
174702583817621
176065710819611
176202460886267
177849682824881
179369757017111
181178747330501
182860697237411
183706050146231
183988484699471
186687884707517
186830776314641
188551881484991
190429801936541
191883874258451
192321715228121
193053114760391
193933545630017
198082106373071
198829867396331
200181169983071
201842102416121
203513349221921
205041650844911
205348341130391
/206270476532291/206270476532293/206270476532297
208744689552011
211868679048401
213285855971801
215663601854621
218382353173001
224224494386267
225703163519831
229348474649291
233037764815061
234729348653531
236942155448561
237455017090211
237626155841267
239342635843517
244722862348031
246477612855641
248772876098771
252514425943517
252872952018431
257932513377017
258479076893951
260674021887017
262698307728881
262882916518571
264734360564951
266036177988851
266409006083651
271291518593981
272427717492851
272617430388041
274901722205771
278740738676441
279706742793671
285752129777831
287130669649841
287328010316267
294500281381121
296718349789721
298339342612517
299355830119517
303447777161267
307789321949561
307997217472661
308413324451711
318740303036711
318953721384911
321523109965301
333719440372121
342866493872381
346486598836661
348535462831931
348763673971451
349220432441051
351051954240791
354274441130231
363368402888411
364546830379001
366912281897081
368812916272517
372156782854601
372396497368517
374318384888801
383059093462931
386992600376267
390956323710851
392949564754991
396707423692751
401505994850621
407372885093891
407629417137401
410459273182241
417729032534831
418513622793641
425094934526741
430950425588381
442296841000181
451090979404517
456653500149767
456932969856101
457492294075841
461140428146591
463396251216251
466227656805341
467363844341411
469357167945767
479129875120271
482033024517761
482906536293101
486119573486291
492593721774767
495557797571267
504229292957561
514845879436451
516069790091741
528741074691281
529365095972171
529677313663691
533120831058701
546423467368517
549306117235691
561277008642521
567170919437861
568486956148271
575433763228211
575766143741267
581103840255131
582108775351841
588503665959941
592569599276267
594269941410767
603859580764481
615659635187621
616359099322991
616709054808767
624799241124251
651004789406831
652464134107517
/654657749824691/654657749824693/654657749824697
656489984265671
659061570445841
667935828402581
675024598106471
678778114410281
691657256887517
703945405548941
718749424297517
725842778819441
727426183334771
727822438916051
730203373197911
739384442949011
744611885818517
747842520477401
748247087705141
757189168901981
763331829600071
767860144173821
771166096365017
774898040097101
779060512750691
785755321412267
789961429593767
794184401532017
798849202030331
814259607970001
818579564678081
837351560535767
842647396963721
851975508315791
852867921229517
870863855712017
871771064567141
886842592909517
890064542768561

作者: ysr    时间: 2020-8-25 15:24
本帖最后由 ysr 于 2020-8-30 15:35 编辑

代码如下:
Private Sub Command1_Click()
Dim a, b
a = Trim(Text1)
a1 = a
Q = Trim(Text2)

If Right(a, 1) Mod 2 = 0 Then
a = MPC1(Trim(a), 1)
Else
a = a
End If

Do While InStr(fenjieyinzi0(Trim(a)), "*") <> 0
If MBJC(Trim(a), "10000000000") < 0 Then
a = a + 2
Else
a = MPC1(Trim(a), 2)
End If
Loop
If MBJC(Trim(a), "100000000000000") < 0 Then
s101 = Int((Val(a - 11) * 4) ^ (1 / 4))
Else
a11 = MbC(MPC(Trim(a), "11"), 4)
s102 = zhengchuqy(MBBC(Trim(a11)))
s101 = zhengchuqy(MBBC(Trim(s102)))
End If

Do While MBJC(Trim(a), Trim(Q)) < 0
If MBJC(Trim(a), "1000000") Then
b = a + s2
Else
b = MPC1(Trim(a), Trim(s2))
End If
d = fenjieyinzi0(Trim(b))
s = 0
s3 = ""
Do While s < 40 And InStr(d, "*") = 0
s4 = s + 1
If s4 Mod 20 = 0 Then
s3 = s3 & "/" & b & vbCrLf
Else
s3 = s3 & "/" & b
End If
s = s + 1
s2 = s * (s + 1)
If MBJC(Trim(a), "1000000000") < 0 Then
b = a + s2
Else
b = MPC1(Trim(a), Trim(s2))
End If
d = fenjieyinzi0(Trim(b))
Loop
If s > 2 Then
Text3 = Text3 & s3 & vbCrLf
ElseIf InStr(fenjieyinzi0(Trim(a)), "*") = 0 Then
Text3 = Text3 & a & vbCrLf
End If
If s > 1 Then
s5 = s5 & "/" & s
Else
s5 = s5
End If
Print s5
Print s101
s101 = MPC1(Trim(s101), 1)
Print s101
If s101 < 1000 Then
a = 11 + (s101 - 1) * s101 * (s101 + 1) * (s101 + 2) / 4
Else
b5 = MbC(Val(s101 - 1), Val(s101)): b6 = MbC(Val(s101 + 1), Val(s101 + 2))
Print b5, b6
a = MPC1(zhengchuqy(MCC1(MbC(Trim(b5), Trim(b6)), 4)), 11)
End If
s2 = 0
Loop
s6 = Mid(s5, 2)
     s7 = max(Trim(s6))
Combo1 = a1 & "与" & Q & "之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有" & s7 & "个连续素数:" & vbCrLf & Text3

     
Text4 = s5
End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Combo1 = ""
Form1.Cls
End Sub

Private Function max(ByVal lists As String) As String
Dim temp As Long
Dim a() As String
a = Split(lists, "/")
Dim b As Long

For b = 0 To UBound(a)
If temp < a(b) Then temp = a(b)
Next
max = temp
End Function
作者: ysr    时间: 2020-8-30 23:30
100与100000000000000之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有4个连续素数:
/101/103/107/113
431
18371
122861
188801
215771
548351
671591
1624361
1897517
2925821
3347081
4062251
5501381
6530591
17518421
19101281
/20789051/20789053/20789057
49287431
70299851
86778551
112031651
131687111
201512231
226517561
259516001
265347821
283434071
428717741
437207201
529207031
549222671
559440767
669645017
755947541
782069201
808862051
953296511
984359261
2177575571
2384124767
2508557321
2670874091
2840943311
3282201401
3687586361
4083529517
4510532771
4710694601
5753905181
6431959811
7029900191
8747393267
10952145767
11738530691
11839724921
11941572017
12044074781
12147236021
12996570017
14353118231
16714740521
18349276151
18632932517
23977128881
27999496241
/29782993517/29782993519/29782993523
30602429171
31650366941
32291910311
32943157517
34050398267
37540031267
39507326471
43403263901
52361109461
53296108751
54882198641
55850687267
58496017751
/66256047017/66256047019/66256047023
68500237361
71580594581
71972817017
81016798601
85398080681
91827483941
/95660613401/95660613403/95660613407
96637359101
99612512621
105244767821
106293930767
112754588321
126554860781
130194319811
132663857141
140933043521
161487842891
163660297961
171060410441
185009666267
/216345451781/216345451783/216345451787
217244082941
221779303301
244544590721
246517711541
259635597491
271138383401
277571449361
278654655017
280830574301
281923300271
288546774401
289661931017
293026801091
303297474911
306780285017
317408855501
344551977221
373399823171
385708691981
402590884511
448769359517
470877988241
474101791061
475719885911
487162818881
508960248821
527968631621
529722680231
569429460641
580635618041
605482406267
611327733761
657559620911
/676345872017/676345872019/676345872023/676345872029
744148632251
771717447161
774048919811
824241555017
902747967041
910632187181
931909310681
964521392111
995160868517
1020767719241
1052732430767
1162613358281
1168959923051
1191377707517
1240500319517
1280879565851
1343286795017
1346819436161
1393380752651
1397011712267
1437422354561
1478703424391
1520867332001
1544242398311
1563926575481
1636351360811
1694398157801
1698602619731
1779984239771
1788717667481
1815110854871
/1886921190767/1886921190769/1886921190773
1970231918861
1974939760961
2046574872821
2299500804521
2374340451221
2385179082017
2417917706201
2439929910767
2686171853081
2727955980767
2764157293211
2812984745231
2831460780341
3099802151261
3234082504391
3316716625421
3330641425031
3415113240017
3457946657591
3530229511001
3552133668821
3715894279901
3784493617517
3948250467431
4216248275861
4359516410981
4419558073361
4550305457891
4621212239711
4738199204351
4931852704517
4941219946121
5026126819517
5257897153121
5336906220461
5426852123171
5436915826691
5672268630767
5682671691071
5893753994741
6012326068031
6132678304211
6243649114181
6390154543511
6493081163267
6620563145081
6773633467031
6809331071441
6881149384841
7149353499767
7476344538401
7920720712517
8204904800831
8301310558811
8384618080031
8496668244131
8781706962641
8854073360831
9464479997171
9479751445331
9679966788971
9962403287267
10170196166561
10283421934517
10348545334151
11016925999811
11034039671267
11415610311311
11503693332401
11627864711201
12061239311981
12300981432911
12431544179771
12487816649921
12829473912461
12867863939591
13041686312267
13080551440331
13139011924517
13493900620631
13957774456121
14204490374351
14349909956267
14601794891681
14707719719171
15115498146101
15399349564211
15576002809391
15620402582501
16069639611731
16160637180881
16528497591161
16621435686671
16926193195181
17403210212951
17694217396061
17939498369531
18187320650951
18387419971091
18462881250881
18665246988581
/19049161401701/19049161401703/19049161401707/19049161401713
19941275234801
20263497748511
20453254988267
20726644785767
21169757724671
21393959754971
22019701717751
22395851113061
23222370662651
23979477806351
24071558907017
25038669942101
25774817149001
26067248366501
26692768748531
27093591727661
27160831887641
27498911967551
28011937609541
28707097767911
29094906966941
29130356137781
30208978416641
30759386047121
31130479901441
31167773078921
31392236280017
31958698506017
33036566837291
33271041059141
33585612200801
33704149553267
33902408743517
34341656890811
35809087780841
36183178425281
37195086994517
38141178805181
39105205415651
39549389057741
39638677901561
41042082681701
42153926178641
42623799644801
43145185681511
43192820443511
43767519568517
44640297514271
44836007544941
45824228040251
46374663101141
46980777333767
47541583496651
47644085198441
47952584973191
49306763625017
49359413666261
49835163657017
50958617699441
53485812246611
53878469978231
53934739920767
55183867673651
55701078252551
55932112894517
56338152009761
57156858406451
58341877732421
58640989565351
59242662152561
61633529743517
61758057618281
62383529907311
62698041685901
63267157978301
65322110401901
65974429553771
68228913346331
71857875994517
72067526858351
76797013055501
76943869987001
77459528431001
78200674060121
79925486351141
80001119647901
81525089236511
81832477023041
82295187517241
83148583283651
83616859994861
84322980207281
84875269264517
87920899481621
90299777361791
90465598106951
92388996474491
93065139585767
93404599470641
95029733074091
96763214612081
96937857718517
97990686051611
99943118091191

作者: ysr    时间: 2020-8-31 01:49
100000000000000与1000000000000000之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有3个连续素数:
100000000000031
102015342969971
102106164552851
104951839404611
105137451112691
106069205319101
106725108385451
110242702620767
112179925207517
112472695643921
113256218638301
113551092577271
119877524350751
121008679155641
122564040777371
123085811209631
125825923573451
127964635813181
129260880166331
129369343250171
130239507123767
134098194906017
138726713711141
140103785700491
140219002629521
140449649662181
142538300262551
145240929992441
145596259337267
146785400827517
150761304401621
154817436221801
155190190733771
155812943557541
160352265465767
160479756831671
160734967618781
161374326319091
161630603127017
163045586113841
163433097753131
163562421668267
164859886249517
168931120019861
173753115405491
174702583817621
176065710819611
176202460886267
177849682824881
179369757017111
181178747330501
182860697237411
183706050146231
183988484699471
186687884707517
186830776314641
188551881484991
190429801936541
191883874258451
192321715228121
193053114760391
193933545630017
198082106373071
198829867396331
200181169983071
201842102416121
203513349221921
205041650844911
205348341130391
/206270476532291/206270476532293/206270476532297
208744689552011
211868679048401
213285855971801
215663601854621
218382353173001
224224494386267
225703163519831
229348474649291
233037764815061
234729348653531
236942155448561
237455017090211
237626155841267
239342635843517
244722862348031
246477612855641
248772876098771
252514425943517
252872952018431
257932513377017
258479076893951
260674021887017
262698307728881
262882916518571
264734360564951
266036177988851
266409006083651
271291518593981
272427717492851
272617430388041
274901722205771
278740738676441
279706742793671
285752129777831
287130669649841
287328010316267
294500281381121
296718349789721
298339342612517
299355830119517
303447777161267
307789321949561
307997217472661
308413324451711
318740303036711
318953721384911
321523109965301
333719440372121
342866493872381
346486598836661
348535462831931
348763673971451
349220432441051
351051954240791
354274441130231
363368402888411
364546830379001
366912281897081
368812916272517
372156782854601
372396497368517
374318384888801
383059093462931
386992600376267
390956323710851
392949564754991
396707423692751
401505994850621
407372885093891
407629417137401
410459273182241
417729032534831
418513622793641
425094934526741
430950425588381
442296841000181
451090979404517
456653500149767
456932969856101
457492294075841
461140428146591
463396251216251
466227656805341
467363844341411
469357167945767
479129875120271
482033024517761
482906536293101
486119573486291
492593721774767
495557797571267
504229292957561
514845879436451
516069790091741
528741074691281
529365095972171
529677313663691
533120831058701
546423467368517
549306117235691
561277008642521
567170919437861
568486956148271
575433763228211
575766143741267
581103840255131
582108775351841
588503665959941
592569599276267
594269941410767
603859580764481
615659635187621
616359099322991
616709054808767
624799241124251
651004789406831
652464134107517
/654657749824691/654657749824693/654657749824697
656489984265671
659061570445841
667935828402581
675024598106471
678778114410281
691657256887517
703945405548941
718749424297517
725842778819441
727426183334771
727822438916051
730203373197911
739384442949011
744611885818517
747842520477401
748247087705141
757189168901981
763331829600071
767860144173821
771166096365017
774898040097101
779060512750691
785755321412267
789961429593767
794184401532017
798849202030331
814259607970001
818579564678081
837351560535767
842647396963721
851975508315791
852867921229517
870863855712017
871771064567141
886842592909517
890064542768561
900712791075017
902108703730511
906306178101491
906773466669731
926563312447517
942338317403381
943782329402651
964662754419431
975478769581691
976466533607771
981416610777341
986883407504711

作者: ysr    时间: 2020-8-31 03:30
1003600000000000与1003800000000000之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有2个连续素数:
1003600000000007
1008800000000000与1009000000000000之间的数列11+(n-1)n(n+1)(n+2)/4,(n>=2.)的素数开头最多有0个连续素数:
1008800000000137
作者: ysr    时间: 2020-9-1 20:53
下面是连续输出差为210的素数数列的程序结果:
/199/409/619/829/1039/1249/1459/1669/1879/2089
1与1000之间的素数开头最多有10个连续素数:
3
5
7
11
/13/223/433/643/853/1063
17
/19/229/439
/23/233/443/653/863
/29/239/449/659
31
37
/41/251/461
43
/47/257/467/677/887/1097/1307
53
/59/269/479
61
/67/277/487
/71/281/491/701/911
73
79
/83/293/503
89
97
/101/311/521
/103/313/523/733
107
109
113
/127/337/547/757/967
131
/137/347/557
139
/149/359/569
151
/157/367/577/787/997
163
167
/173/383/593
/179/389/599/809/1019/1229/1439
181
191
193
197
/199/409/619/829/1039/1249/1459/1669/1879/2089
/211/421/631
/223/433/643/853/1063
227
229
/233/443/653/863
/239/449/659
241
251
/257/467/677/887/1097/1307
263
269
271
277
/281/491/701/911
283
293
307
311
/313/523/733
317
/331/541/751
/337/547/757/967
347
349
/353/563/773/983/1193
359
/367/577/787/997
373
379
383
/389/599/809/1019/1229/1439
397
401
/409/619/829/1039/1249/1459/1669/1879/2089
419
421
431
/433/643/853/1063
439
/443/653/863
449
457
461
/463/673/883/1093/1303
/467/677/887/1097/1307
479
487
/491/701/911
/499/709/919/1129
503
/509/719/929
521
523
541
/547/757/967
557
/563/773/983/1193
569
571
/577/787/997
587
593
/599/809/1019/1229/1439
/601/811/1021/1231
607
/613/823/1033
617
/619/829/1039/1249/1459/1669/1879/2089
631
641
/643/853/1063
647
653
659
661
/673/883/1093/1303
/677/887/1097/1307
683
691
701
/709/919/1129
719
727
733
739
/743/953/1163/1373/1583
751
757
/761/971/1181
769
/773/983/1193
787
797
/809/1019/1229/1439
/811/1021/1231
821
823
827
/829/1039/1249/1459/1669/1879/2089
/839/1049/1259
853
857
/859/1069/1279/1489/1699
863
/877/1087/1297
/881/1091/1301/1511/1721/1931/2141/2351
/883/1093/1303
/887/1097/1307
/907/1117/1327
911
919
929
937
/941/1151/1361/1571
947
/953/1163/1373/1583
967
971
977
983
991
997

作者: ysr    时间: 2020-9-1 20:55
代码如下:(只发主程序)
Private Sub Command1_Click()
Dim a, b
a = Val(Text1)
a1 = a
Q = Val(Text2)
m = Sqr(Q)
If Right(a, 1) Mod 2 = 0 Then
a = a + 1
Else
a = a
End If

Do While InStr(fenjieyinzi0(Val(a)), "*") <> 0
a = a + 2
Loop

Do While a <= Q
b = a
d = fenjieyinzi0(Val(b))
s = 0
s3 = ""
Do While s < 40 And InStr(d, "*") = 0
s4 = s + 1
If s4 Mod 20 = 0 Then
s3 = s3 & "/" & b & vbCrLf
Else
s3 = s3 & "/" & b
End If
s = s + 1
s2 = s * (s + 1)
b = b + 210
d = fenjieyinzi0(Val(b))
Loop
If s > 2 Then
Text3 = Text3 & s3 & vbCrLf
ElseIf InStr(fenjieyinzi0(Val(a)), "*") = 0 Then
Text3 = Text3 & a & vbCrLf
End If
If s > 1 Then
s5 = s5 & "/" & s
Else
s5 = s5
End If
Print s5
a = a + 2
s2 = 0
Loop
s6 = Mid(s5, 2)
     s7 = max(Trim(s6))
Combo1 = a1 & "与" & Q & "之间的素数开头最多有" & s7 & "个连续素数:" & vbCrLf & Text3

     
Text4 = s5
End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Combo1 = ""
Form1.Cls
End Sub
Private Function max(ByVal lists As String) As String
Dim temp As Long
Dim a() As String
a = Split(lists, "/")
Dim b As Long

For b = 0 To UBound(a)
If temp < a(b) Then temp = a(b)
Next
max = temp
End Function
作者: ysr    时间: 2020-9-3 17:21
3000与4000之间的素数开头差为223092870最多有8个连续素数:
3001
3011
3019
3023
/3037/223095907/446188777/669281647
3041
/3049/223095919/446188789/669281659/892374529/1115467399/1338560269/1561653139
/3061/223095931/446188801/669281671
/3067/223095937/446188807/669281677
3079
3083
3089
3109
3119
3121
3137
3163
3167
3169
3181
3187
3191
/3203/223096073/446188943
3209
3217
/3221/223096091/446188961
3229
3251
3253
3257
3259
3271
3299
3301
3307
3313
/3319/223096189/446189059/669281929
3323
3329
3331
3343
3347
3359
3361
3371
3373
3389
3391
3407
3413
3433
3449
3457
3461
3463
3467
3469
3491
/3499/223096369/446189239
3511
3517
3527
3529
3533
/3539/223096409/446189279
3541
3547
3557
3559
3571
3581
3583
3593
3607
/3613/223096483/446189353
/3617/223096487/446189357
3623
3631
3637
3643
3659
3671
3673
3677
3691
3697
3701
3709
3719
3727
/3733/223096603/446189473
3739
3761
3767
3769
3779
3793
3797
3803
3821
3823
3833
3847
/3851/223096721/446189591
3853
3863
/3877/223096747/446189617
3881
3889
3907
3911
3917
3919
3923
3929
3931
3943
3947
3967
3989
作者: ysr    时间: 2020-9-3 17:28
5000与10000之间的素数开头差为9699690最多有8个连续素数:
5003
5009
5011
5021
5023
5039
5051
5059
5077
5081
5087
5099
5101
5107
5113
/5119/9704809/19404499
5147
5153
5167
/5171/9704861/19404551/29104241
5179
5189
/5197/9704887/19404577
/5209/9704899/19404589/29104279
5227
5231
5233
5237
5261
5273
5279
5281
5297
5303
5309
/5323/9705013/19404703
5333
/5347/9705037/19404727
5351
5381
5387
5393
/5399/9705089/19404779
5407
5413
5417
5419
5431
5437
5441
5443
5449
5471
5477
5479
5483
5501
/5503/9705193/19404883/29104573
5507
5519
5521
5527
5531
5557
5563
/5569/9705259/19404949
5573
/5581/9705271/19404961/29104651/38804341/48504031
5591
5623
/5639/9705329/19405019
5641
5647
5651
5653
5657
5659
5669
5683
5689
5693
5701
5711
5717
5737
/5741/9705431/19405121
5743
5749
5779
5783
/5791/9705481/19405171
5801
5807
/5813/9705503/19405193
5821
5827
5839
5843
5849
5851
5857
5861
5867
5869
5879
5881
5897
5903
5923
5927
5939
5953
/5981/9705671/19405361
5987
6007
6011
6029
/6037/9705727/19405417
6043
6047
6053
6067
6073
6079
6089
6091
6101
6113
6121
6131
6133
6143
6151
6163
6173
6197
6199
6203
6211
6217
/6221/9705911/19405601
6229
6247
6257
6263
6269
6271
6277
6287
6299
/6301/9705991/19405681
6311
6317
6323
6329
6337
6343
/6353/9706043/19405733/29105423
6359
6361
6367
/6373/9706063/19405753
6379
6389
6397
6421
6427
6449
6451
/6469/9706159/19405849
6473
/6481/9706171/19405861
6491
6521
6529
6547
/6551/9706241/19405931
6553
6563
6569
6571
6577
6581
/6599/9706289/19405979
/6607/9706297/19405987/29105677/38805367/48505057
/6619/9706309/19405999/29105689/38805379
6637
6653
6659
6661
/6673/9706363/19406053/29105743/38805433
6679
6689
6691
6701
6703
6709
/6719/9706409/19406099/29105789
6733
/6737/9706427/19406117
6761
6763
6779
6781
6791
6793
6803
/6823/9706513/19406203
6827
6829
/6833/9706523/19406213
6841
6857
6863
6869
6871
6883
6899
6907
6911
6917
6947
6949
6959
6961
6967
/6971/9706661/19406351/29106041
6977
6983
/6991/9706681/19406371
/6997/9706687/19406377
7001
7013
7019
7027
7039
7043
7057
7069
7079
7103
7109
7121
7127
7129
7151
7159
/7177/9706867/19406557
7187
7193
7207
7211
7213
7219
7229
7237
7243
7247
7253
7283
7297
7307
7309
7321
7331
7333
7349
/7351/9707041/19406731
7369
7393
7411
7417
7433
7451
7457
/7459/9707149/19406839
7477
7481
/7487/9707177/19406867/29106557
/7489/9707179/19406869/29106559/38806249
7499
7507
7517
7523
7529
7537
7541
7547
7549
7559
/7561/9707251/19406941/29106631
7573
7577
7583
7589
7591
7603
/7607/9707297/19406987
7621
7639
7643
7649
7669
7673
7681
7687
/7691/9707381/19407071
7699
/7703/9707393/19407083/29106773/38806463/48506153/58205843/67905533
/7717/9707407/19407097
7723
7727
7741
7753
7757
7759
7789
7793
7817
7823
7829
/7841/9707531/19407221
7853
7867
7873
7877
7879
7883
7901
7907
7919
7927
7933
/7937/9707627/19407317
7949
7951
7963
7993
/8009/9707699/19407389
8011
8017
8039
8053
8059
8069
8081
8087
8089
8093
8101
8111
/8117/9707807/19407497
/8123/9707813/19407503/29107193/38806883/48506573/58206263
8147
8161
8167
8171
8179
8191
8209
8219
8221
8231
8233
8237
/8243/9707933/19407623
8263
8269
8273
8287
8291
8293
8297
8311
8317
8329
8353
8363
8369
8377
8387
8389
8419
/8423/9708113/19407803
8429
/8431/9708121/19407811
8443
8447
8461
8467
/8501/9708191/19407881
8513
8521
8527
8537
/8539/9708229/19407919
8543
8563
8573
8581
/8597/9708287/19407977
8599
8609
/8623/9708313/19408003
8627
8629
8641
8647
8663
8669
8677
8681
8689
8693
8699
8707
8713
8719
/8731/9708421/19408111
8737
8741
8747
8753
8761
8779
8783
8803
8807
8819
8821
8831
8837
/8839/9708529/19408219
8849
/8861/9708551/19408241
8863
8867
8887
8893
8923
8929
8933
8941
8951
8963
8969
8971
8999
9001
9007
9011
9013
9029
/9041/9708731/19408421/29108111
9043
9049
9059
9067
9091
9103
9109
9127
9133
9137
9151
9157
9161
9173
9181
9187
9199
9203
9209
9221
9227
9239
9241
9257
9277
/9281/9708971/19408661
/9283/9708973/19408663
9293
9311
9319
9323
/9337/9709027/19408717
9341
9343
9349
9371
9377
/9391/9709081/19408771
9397
9403
9413
9419
9421
9431
9433
9437
9439
9461
9463
9467
9473
9479
/9491/9709181/19408871/29108561
9497
9511
9521
9533
9539
9547
9551
9587
/9601/9709291/19408981
9613
9619
/9623/9709313/19409003/29108693
9629
9631
9643
9649
9661
9677
/9679/9709369/19409059/29108749
9689
9697
9719
/9721/9709411/19409101
9733
9739
9743
9749
9767
9769
9781
9787
9791
9803
9811
9817
9829
9833
9839
9851
9857
9859
9871
9883
9887
9901
/9907/9709597/19409287/29108977
9923
9929
9931
/9941/9709631/19409321
/9949/9709639/19409329/29109019/38808709/48508399/58208089
9967
9973

作者: ysr    时间: 2020-9-3 17:29
15000与20000之间的素数开头差为9699690最多有7个连续素数:
/15013/9714703/19414393
15017
15031
/15053/9714743/19414433/29114123
15061
15073
15077
15083
15091
15101
15107
15121
15131
15137
15139
15149
15161
15173
15187
15193
15199
15217
15227
15233
15241
15259
15263
15269
/15271/9714961/19414651
15277
15287
15289
15299
15307
15313
15319
15329
15331
15349
/15359/9715049/19414739
15361
15373
15377
15383
15391
15401
15413
15427
15439
15443
15451
15461
15467
15473
15493
15497
15511
15527
15541
/15551/9715241/19414931/29114621
15559
15569
15581
15583
15601
15607
/15619/9715309/19414999
15629
15641
15643
15647
/15649/9715339/19415029
15661
15667
15671
15679
15683
15727
15731
15733
15737
15739
15749
15761
15767
15773
15787
15791
/15797/9715487/19415177
15803
15809
15817
15823
15859
15877
15881
15887
15889
15901
15907
15913
15919
15923
15937
15959
15971
15973
15991
16001
16007
16033
16057
16061
16063
16067
16069
/16073/9715763/19415453
16087
16091
16097
16103
16111
16127
16139
/16141/9715831/19415521
/16183/9715873/19415563
16187
16189
/16193/9715883/19415573
16217
16223
16229
16231
16249
16253
16267
16273
16301
16319
16333
16339
16349
16361
16363
16369
16381
16411
16417
/16421/9716111/19415801
/16427/9716117/19415807
16433
16447
16451
16453
/16477/9716167/19415857/29115547
16481
16487
16493
16519
16529
16547
16553
16561
16567
16573
/16603/9716293/19415983/29115673/38815363/48515053/58214743
16607
16619
/16631/9716321/19416011
16633
16649
16651
16657
16661
16673
16691
16693
16699
16703
16729
16741
16747
16759
16763
16787
/16811/9716501/19416191/29115881/38815571
16823
16829
16831
16843
16871
/16879/9716569/19416259
16883
/16889/9716579/19416269/29115959/38815649/48515339/58215029
16901
16903
16921
/16927/9716617/19416307
16931
/16937/9716627/19416317
16943
16963
16979
16981
16987
16993
17011
17021
/17027/9716717/19416407/29116097/38815787/48515477
17029
17033
/17041/9716731/19416421
17047
17053
17077
17093
/17099/9716789/19416479
17107
17117
17123
17137
17159
17167
17183
17189
17191
17203
17207
17209
17231
/17239/9716929/19416619/29116309
17257
17291
17293
17299
17317
17321
17327
17333
17341
17351
17359
17377
17383
17387
17389
17393
17401
/17417/9717107/19416797/29116487/38816177/48515867
17419
17431
17443
17449
17467
17471
17477
17483
17489
17491
17497
17509
17519
17539
17551
/17569/9717259/19416949
/17573/9717263/19416953
17579
17581
17597
17599
/17609/9717299/19416989
/17623/9717313/19417003/29116693
17627
17657
17659
17669
17681
17683
17707
17713
17729
17737
17747
17749
17761
17783
17789
/17791/9717481/19417171/29116861/38816551
17807
/17827/9717517/19417207
17837
17839
17851
17863
17881
17891
/17903/9717593/19417283
17909
17911
17921
17923
17929
17939
17957
/17959/9717649/19417339
17971
17977
17981
17987
17989
18013
18041
18043
18047
18049
18059
18061
18077
18089
18097
18119
18121
18127
18131
18133
18143
/18149/9717839/19417529/29117219/38816909
18169
18181
18191
18199
18211
18217
18223
/18229/9717919/19417609
/18233/9717923/19417613
18251
18253
18257
/18269/9717959/19417649
18287
18289
18301
18307
18311
18313
18329
18341
18353
/18367/9718057/19417747
18371
18379
18397
18401
18413
18427
18433
18439
18443
18451
/18457/9718147/19417837/29117527/38817217/48516907
18461
18481
18493
18503
18517
/18521/9718211/19417901/29117591
18523
18539
18541
18553
18583
18587
18593
18617
/18637/9718327/19418017/29117707
18661
18671
18679
/18691/9718381/19418071/29117761
18701
18713
18719
18731
18743
18749
18757
18773
18787
18793
18797
18803
18839
18859
18869
18899
18911
18913
18917
18919
18947
18959
18973
/18979/9718669/19418359
19001
19009
19013
19031
19037
19051
19069
19073
19079
19081
19087
19121
/19139/9718829/19418519/29118209
19141
19157
19163
19181
19183
19207
19211
19213
19219
19231
19237
/19249/9718939/19418629
19259
19267
19273
19289
19301
/19309/9718999/19418689
19319
19333
19373
19379
/19381/9719071/19418761
19387
19391
19403
/19417/9719107/19418797
19421
19423
19427
19429
19433
19441
/19447/9719137/19418827
19457
19463
19469
19471
/19477/9719167/19418857/29118547
19483
19489
19501
19507
19531
/19541/9719231/19418921
19543
19553
/19559/9719249/19418939
19571
/19577/9719267/19418957/29118647
19583
19597
19603
19609
19661
19681
19687
19697
19699
19709
/19717/9719407/19419097/29118787
19727
/19739/9719429/19419119
19751
19753
19759
/19763/9719453/19419143
19777
19793
19801
19813
19819
/19841/9719531/19419221/29118911/38818601
19843
19853
19861
19867
19889
/19891/9719581/19419271/29118961
/19913/9719603/19419293/29118983/38818673
19919
19927
19937
19949
19961
19963
19973
19979
19991
19993
19997

作者: ysr    时间: 2020-9-3 17:31
本帖最后由 ysr 于 2020-9-3 09:33 编辑

35000与40000之间的素数开头差为9699690最多有10个连续素数:
35023
35027
35051
35053
35059
35069
35081
35083
35089
35099
/35107/9734797/19434487
35111
35117
35129
35141
35149
35153
35159
35171
35201
35221
35227
35251
35257
35267
35279
35281
35291
35311
35317
35323
35327
/35339/9735029/19434719
/35353/9735043/19434733/29134423/38834113
35363
35381
35393
35401
35407
35419
35423
35437
/35447/9735137/19434827
35449
35461
35491
/35507/9735197/19434887
35509
35521
35527
35531
/35533/9735223/19434913/29134603
35537
35543
35569
35573
35591
/35593/9735283/19434973
35597
35603
35617
/35671/9735361/19435051/29134741
35677
35729
35731
35747
35753
35759
35771
35797
35801
35803
35809
35831
35837
35839
35851
35863
35869
35879
35897
/35899/9735589/19435279
35911
35923
35933
35951
35963
/35969/9735659/19435349/29135039/38834729/48534419/58234109/67933799/77633489/87333179
35977
35983
35993
35999
36007
36011
36013
36017
36037
36061
36067
/36073/9735763/19435453
36083
36097
36107
36109
36131
36137
36151
36161
36187
36191
/36209/9735899/19435589
36217
36229
36241
36251
36263
36269
36277
36293
36299
36307
36313
36319
36341
/36343/9736033/19435723
36353
36373
36383
36389
/36433/9736123/19435813
36451
36457
36467
36469
36473
/36479/9736169/19435859
36493
/36497/9736187/19435877
36523
36527
36529
36541
36551
36559
36563
/36571/9736261/19435951
36583
36587
/36599/9736289/19435979
36607
36629
/36637/9736327/19436017
36643
/36653/9736343/19436033
36671
36677
36683
36691
36697
36709
36713
36721
36739
36749
/36761/9736451/19436141/29135831
/36767/9736457/19436147/29135837
36779
36781
36787
36791
36793
/36809/9736499/19436189
36821
36833
36847
36857
/36871/9736561/19436251/29135941
36877
36887
/36899/9736589/19436279/29135969
36901
36913
/36919/9736609/19436299
36923
36929
36931
36943
36947
36973
36979
36997
37003
37013
37019
37021
37039
37049
/37057/9736747/19436437
37061
37087
37097
/37117/9736807/19436497
37123
37139
37159
37171
37181
37189
37199
37201
37217
37223
37243
37253
37273
37277
37307
37309
37313
37321
37337
/37339/9737029/19436719/29136409
/37357/9737047/19436737
37361
37363
37369
37379
37397
37409
37423
37441
/37447/9737137/19436827
37463
37483
37489
37493
37501
/37507/9737197/19436887
37511
37517
37529
37537
37547
/37549/9737239/19436929
37561
37567
37571
37573
37579
37589
/37591/9737281/19436971/29136661
37607
37619
37633
37643
/37649/9737339/19437029/29136719
37657
37663
37691
37693
/37699/9737389/19437079
/37717/9737407/19437097/29136787
37747
37781
37783
37799
/37811/9737501/19437191/29136881
37813
37831
37847
37853
37861
/37871/9737561/19437251
/37879/9737569/19437259
37889
37897
37907
37951
37957
37963
37967
37987
37991
37993
37997
/38011/9737701/19437391
38039
38047
38053
38069
38083
38113
38119
38149
38153
38167
38177
38183
38189
/38197/9737887/19437577
38201
38219
/38231/9737921/19437611/29137301/38836991/48536681
38237
38239
38261
38273
/38281/9737971/19437661/29137351
38287
/38299/9737989/19437679/29137369/38837059
38303
38317
38321
/38327/9738017/19437707
38329
38333
38351
38371
38377
38393
38431
38447
38449
38453
38459
38461
/38501/9738191/19437881
38543
38557
38561
38567
38569
38593
38603
38609
38611
38629
38639
38651
38653
38669
38671
38677
38693
38699
/38707/9738397/19438087/29137777
38711
38713
38723
38729
/38737/9738427/19438117
38747
38749
38767
38783
38791
/38803/9738493/19438183/29137873/38837563/48537253
38821
38833
/38839/9738529/19438219
38851
38861
38867
38873
38891
38903
38917
38921
38923
38933
38953
38959
38971
38977
38993
39019
39023
39041
39043
39047
39079
39089
/39097/9738787/19438477
/39103/9738793/19438483/29138173
/39107/9738797/19438487
39113
39119
39133
39139
39157
/39161/9738851/19438541
39163
39181
39191
39199
39209
/39217/9738907/19438597
39227
39229
39233
39239
39241
39251
39293
39301
39313
39317
39323
39341
39343
39359
39367
/39371/9739061/19438751/29138441
/39373/9739063/19438753/29138443
39383
39397
39409
39419
39439
/39443/9739133/19438823/29138513
39451
39461
39499
39503
39509
39511
39521
39541
39551
39563
39569
39581
39607
/39619/9739309/19438999
39623
39631
39659
39667
39671
39679
39703
39709
39719
39727
39733
39749
39761
39769
39779
39791
39799
39821
39827
39829
39839
39841
39847
39857
39863
39869
39877
39883
39887
39901
39929
39937
39953
39971
39979
39983
39989

作者: ysr    时间: 2020-9-3 18:51
5000与10000之间的素数开头差为200560490130最多有5个连续素数:
/5323/200560495453/401120985583/601681475713/802241965843
/5477/200560495607/401120985737/601681475867/802241965997
/6043/200560496173/401120986303/601681476433/802241966563
/6143/200560496273/401120986403/601681476533/802241966663

行间差依次为154,566,100
作者: ysr    时间: 2020-9-3 20:00
30000与40000之间的素数开头差为200560490130最多有7个连续素数:
/34313/200560524443/401121014573/601681504703/802241994833/1002802484963/1203362975093

/31181/200560521311/401121011441
/31183/200560521313/401121011443

后面这两行行间距是2,所以,有3对孪生素数。
作者: ysr    时间: 2020-9-5 20:38
275087与375087之间的素数开头差为200560490130最多有8个连续素数:

/282851/200560772981/401121263111/601681753241/802242243371/1002802733501/1203363223631/1403923713761

作者: ysr    时间: 2020-9-5 23:01
对应项差为6(首项是相邻素数对):
/404693/200560894823/401121384953/601681875083
/404699/200560894829/401121384959
对应项差为32(首项是相邻素数对):
/403901/200560894031/401121384161/601681874291
/403933/200560894063/401121384193
作者: ysr    时间: 2020-9-5 23:03
对应项差为10(首项是相邻素数对):
/393919/200560884049/401121374179
/393929/200560884059/401121374189
作者: ysr    时间: 2020-9-5 23:04
对应项差为24(首项是相邻素数对):
/389663/200560879793/401121369923
/389687/200560879817/401121369947
作者: ysr    时间: 2020-9-5 23:09
/382777/200560872907/401121363037/601681853167/802242343297/1002802833427
作者: ysr    时间: 2020-9-6 02:45
/421633/200560911763/401121401893
/421639/200560911769/401121401899/601681892029
/421643/200560911773/401121401903
/421657/200560911787/401121401917
对应项依次差6,4,12。
首项为相邻素数。


451529与491529之间的素数开头差为200560490130最多有7个连续素数:
/481769/200560971899/401121462029/601681952159/802242442289/1002802932419/1203363422549

作者: ysr    时间: 2020-9-6 02:49
本帖最后由 ysr 于 2020-9-14 07:22 编辑

代码如下:

Private Sub Command1_Click()
Dim a, b
a = Trim(Text1)
a1 = a
q = Trim(Text2)
m = Sqr(q)
If Right(a, 1) Mod 2 = 0 Then
a = MPC1(Trim(a), 1)
Else
a = a
End If

Do While InStr(fenjieyinzi0(Trim(a)), "*") <> 0
a = MPC1(Trim(a), 2)
Loop

Do While MBJC(Trim(a), Trim(q)) < 0
b = a
d = fenjieyinzi0(Trim(b))
s = 0
s3 = ""
Do While s < 40 And InStr(d, "*") = 0
s4 = s + 1
If s4 Mod 20 = 0 Then
s3 = s3 & "/" & b & vbCrLf
Else
s3 = s3 & "/" & b
End If
s = s + 1
s2 = s * (s + 1)
b = MPC1(Trim(b), "200560490130")
d = fenjieyinzi0(Val(b))
Loop
If s > 2 Then
Text3 = Text3 & s3 & vbCrLf
ElseIf InStr(fenjieyinzi0(Trim(a)), "*") = 0 Then
Text3 = Text3 & a & vbCrLf
End If
If s > 1 Then
s5 = s5 & "/" & s
Else
s5 = s5
End If
Print s5
a = MPC1(Trim(a), 2)
s2 = 0
Loop
s6 = Mid(s5, 2)
     s7 = max(Trim(s6))
Combo1 = a1 & "与" & q & "之间的素数开头差为200560490130最多有" & s7 & "个连续素数:" & vbCrLf & Text3

     
Text4 = s5
End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Combo1 = ""
Form1.Cls
End Sub
Private Function max(ByVal lists As String) As String
Dim temp As Long
Dim a() As String
a = Split(lists, "/")
Dim b As Long

For b = 0 To UBound(a)
If temp < a(b) Then temp = a(b)
Next
max = temp
End Function
作者: ysr    时间: 2020-9-9 21:49
540559与602529之间的素数开头差为200560490130最多有8个连续素数:
/588893/200561079023/401121569153/601682059283/802242549413/1002803039543/1203363529673/1403924019803
作者: ysr    时间: 2020-9-10 06:13
652529与702529之间的素数开头差为200560490130最多有7个连续素数:
/656263/200561146393/401121636523/601682126653/802242616783/1002803106913/1203363597043

702529与752529之间的素数开头差为200560490130最多有8个连续素数:
/731041/200561221171/401121711301/601682201431/802242691561/1002803181691/1203363671821/1403924161951

长度5个,6个的很多,7个,8个就稀少些,随着长度增加越来越稀少,但并不是唯一的,仍然是无穷多的。
但数值巨大,逐个找出来别说几百万就是几百也是太慢太长了甚至不可能了,除非找到规律直接计算出来!
找到这么多7个,8个的,就是试图找到首项的规律,素数不能仅看做一类,要分成多种类型。
作者: ysr    时间: 2020-9-10 07:45
个位数字特征:1,3,9的容易产生连续7个以上,尤其是9.
而个位数是7的没有发现,可能是有,计算数据少,没有概率统计意义。所以,个位数字的特征不明显,但可以算是猜测,有待进一步研究。
作者: ysr    时间: 2020-9-11 22:49
947529与967529之间的素数开头差为200560490130最多有6个连续素数:
/947539/200561437669/401121927799
947579
947659
947719
947729
947819
/947959/200561438089/401121928219
948019
948029
948049
948089
948139
948149
948169
948349
948439
948449
948469
948659
948749
948799
948839
948929
948989
949019
949129
949159
949409
949439
949589
949609
949649
949699
949759
949789
949849
949889
949939
949979
950009
950029
950039
950099
950149
950179
950239
950269
950329
950459
950479
950519
950569
950639
950689
/950699/200561440829/401121930959/601682421089/802242911219/1002803401349
/950809/200561440939/401121931069/601682421199/802242911329
950819
950839
950869
950879
950959
951019
951029
951059
951079
951089
951109
951259
951299
951389
951449
951469
951479
951589
951649
951659
951689
951749
951829
951859
951959
952009
952129
952169
952199
952219
952229
952279
952349
952379
/952429/200561442559/401121932689
952439
952559
952619
952649
952669
952709
952739
952789
952829
952859
952979
953039
953149
953179
953399
953539
953639
953699
/953789/200561443919/401121934049
/953929/200561444059/401121934189
953969
954139
954209
954229
/954259/200561444389/401121934519
954269
954319
954379
954409
954469
954509
954539
954599
954619
954649
954719
954829
954869
954929
954979
955039
955139
955309
955319
955379
955439
955469
955649
955709
955729
955769
955819
955879
955919
/955939/200561446069/401121936199/601682426329/802242916459
956119
956269
956399
956429
956569
956689
956699
956749
956759
956789
956849
956909
956929
956999
957059
957109
957119
957139
957169
957289
957349
957409
957419
957499
957529
957599
957659
957709
957769
957889
957949
957959
958039
958049
/958159/200561448289/401121938419
958259
958289
/958319/200561448449/401121938579
958339
958369
958439
958459
958499
958519
958549
958609
958669
958679
958729
958739
958819
958829
958849
959009
959099
959149
959159
959209
959219
959269
/959279/200561449409/401121939539
959339
959369
959389
959449
959479
959489
959579
959659
/959689/200561449819/401121939949
959719
959759
959779
959809
959869
959879
959969
960019
960049
960059
960119
960139
960199
960229
960259
960299
960329
960389
960419
960499
960569
960649
960709
960809
960829
/960889/200561451019/401121941149
960989
961069
961099
961109
961139
/961159/200561451289/401121941419
961189
/961319/200561451449/401121941579/601682431709
961339
961399
961459
961529
961549
961619
961679
961729
961739
961769
961789
961879
962009
962099
962119
962309
962459
962509
962569
962609
962669
962779
962789
962839
962869
962909
962959
963019
963239
963299
/963349/200561453479/401121943609
963379
963419
963499
963559
963629
963659
/963689/200561453819/401121943949
963709
/963719/200561453849/401121943979
963779
963799
963839
963899
963979
964009
964039
964049
964199
964219
964259
964289
964309
964339
964499
964519
964559
964589
964609
964679
964829
964879
964889
964939
964969
965059
965089
965179
965189
965249
/965329/200561455459/401121945589
965369
965399
965429
965519
965639
/965659/200561455789/401121945919/601682436049/802242926179
965749
965759
965779
965969
965989
966029
966109
966139
966149
966209
966319
966379
966389
966409
966419
/966439/200561456569/401121946699
966499
966509
966619
966659
966869
966919
967019
967049
967129
967139
/967229/200561457359/401121947489
967259
967289
/967319/200561457449/401121947579
967349
967429
967459
967529

作者: ysr    时间: 2020-9-13 19:53
763529与773529之间的素数开头差为200560490130最多有6个连续素数:
/771899/200561262029/401121752159/601682242289/802242732419/1002803222549
作者: ysr    时间: 2020-9-13 20:25
793529与803529之间的素数开头差为200560490130最多有6个连续素数:
/802189/200561292319/401121782449/601682272579/802242762709/1002803252839
作者: ysr    时间: 2020-9-14 15:18
840907与853529之间的素数开头差为200560490130最多有6个连续素数:
/844609/200561334739/401121824869/601682314999/802242805129/1002803295259
803529与853529之间的素数开头差为200560490130最多有7个连续素数:
/826967/200561317097/401121807227/601682297357/802242787487/1002803277617/1203363767747
853529与893529之间的素数开头差为200560490130最多有6个连续素数:
/869233/200561359363/401121849493/601682339623/802242829753/1002803319883

1013529与1513529之间的素数开头差为200560490130最多有8个连续素数:
1013531
1013533
1013563
1013569
1013581
1013603
1013609
1013627
1013629
1013641
1013671
1013681
1013687
1013699
1013711
1013713
1013717
/1013729/200561503859/401121993989/601682484119
1013741
1013767
1013773
1013791
1013813
1013819
1013827
1013833
1013839
1013843
1013851
1013879
1013891
1013893
1013899
1013921
1013923
1013933
1013993
1014007
1014029
1014037
1014061
1014089
1014113
/1014121/200561504251/401121994381/601682484511/802242974641/1002803464771/1203363954901
(看上去连续6个的和7个的不少,8个的太少了)

/2/2/4/2/2/2/2/2/2/2/2/7/3/2/2/3/3/3/2/2/2/2/2/2/2/5/2/2/2/2/2/2/2/3/2/2/3/2/3/2/2/2/2/2/2/3/2/2/2/2/2/3/3/2/2/2/4/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/4/2/2/2/2/2/3/2/2/2/4/3/2/2/2/2/2/3/2/2/2/2/2/2/2/3/4/5/2/2/2/2/3/2/2/3/2/2/2/2/2/5/2/2/3/2/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/2/3/3/2/3/2/2/2/4/2/2/3/2/2/2/2/2/2/2/2/3/3/3/2/2/2/4/2/2/2/2/2/2/2/2/3/2/4/2/2/2/2/2/3/2/2/2/2/2/2/3/2/3/2/2/2/2/3/2/2/2/2/3/2/2/2/2/2/2/2/3/2/2/2/3/3/2/2/3/2/2/3/2/2/2/2/2/2/3/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/3/3/3/2/2/2/2/2/2/2/3/4/3/5/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/4/3/2/3/2/3/2/2/2/2/2/2/4/2/2/2/2/3/2/2/2/3/3/3/2/3/2/2/2/2/3/2/2/3/2/2/2/3/3/3/2/2/3/2/2/3/2/2/2/2/2/3/2/2/2/2/3/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/2/2/4/2/2/2/2/2/2/3/2/2/2/3/2/3/2/2/2/3/2/2/4/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/3/6/2/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/4/2/3/2/3/2/2/2/2/2/3/2/3/2/2/2/2/3/2/3/3/2/2/3/2/2/2/2/6/3/2/2/2/2/2/2/3/2/2/3/3/2/2/3/2/3/4/5/2/2/3/3/2/2/2/3/2/2/2/2/2/3/2/2/2/2/2/2/4/2/2/2/2/3/2/2/4/2/2/2/2/2/2/2/2/3/2/2/4/2/2/2/2/3/2/3/2/2/2/3/2/2/2/2/2/3/2/3/3/2/3/2/2/3/2/2/3/2/2/3/3/2/2/2/5/2/2/2/5/2/2/3/3/2/2/2/3/4/2/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/3/3/2/2/2/2/2/3/4/2/2/2/2/2/3/2/3/2/2/2/2/2/3/2/2/2/3/2/2/4/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/4/2/2/2/2/2/2/2/2/2/5/2/2/3/2/2/2/2/3/2/2/2/2/2/2/2/3/2/3/2/2/2/2/3/2/2/2/2/3/2/3/2/3/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/2/2/3/2/2/2/2/2/4/3/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/3/4/2/2/2/2/2/2/2/2/2/2/2/5/2/3/2/2/6/2/2/3/2/2/2/2/2/4/2/3/3/3/3/3/2/2/2/2/2/2/3/2/6/2/3/2/3/2/2/2/2/2/3/2/2/2/3/2/2/2/5/2/2/2/2/2/2/2/3/2/3/2/2/4/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/3/2/2/2/2/3/3/3/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/4/3/2/2/3/3/3/2/2/2/2/3/2/2/2/2/3/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/4/2/4/2/3/3/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/5/2/2/2/3/2/2/2/2/2/2/2/4/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/3/3/3/2/2/2/2/2/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/2/3/2/2/2/6/2/2/2/2/2/2/2/3/3/5/2/4/2/2/2/2/2/3/2/4/2/2/2/2/4/2/2/2/2/2/2/2/3/2/2/2/3/2/3/2/2/2/2/3/2/2/4/3/2/2/2/2/2/3/2/2/2/2/4/2/2/2/2/2/2/3/3/3/2/2/2/2/2/2/2/3/2/2/2/2/4/2/2/2/3/2/2/2/2/3/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/4/2/2/2/2/3/2/2/3/2/2/4/3/2/2/2/2/2/4/2/2/2/2/2/2/2/3/2/3/2/2/2/2/3/3/2/3/2/2/2/2/2/2/3/4/3/2/2/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/2/2/3/2/5/2/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/3/3/2/2/3/2/2/3/2/4/2/2/2/2/3/3/2/3/2/3/2/2/3/2/2/3/2/2/2/2/2/3/2/3/4/2/2/2/3/2/2/2/2/3/2/2/3/2/4/3/2/2/3/2/4/2/2/2/2/2/2/3/3/2/2/2/2/2/2/2/2/3/2/2/2/4/3/2/3/3/2/3/3/2/2/2/2/2/2/2/2/4/2/2/2/3/2/2/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/4/2/6/2/2/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/2/4/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/3/3/3/3/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/4/3/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/2/3/2/2/2/2/2/2/3/3/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/2/2/3/2/3/2/2/3/4/4/2/2/5/2/2/3/2/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/3/2/2/3/2/4/2/3/2/4/2/3/3/2/2/2/2/2/2/2/2/2/4/2/2/6/3/3/2/2/2/2/2/2/4/2/2/2/2/2/2/2/3/2/2/2/2/2/3/2/2/2/2/2/2/5/2/3/2/2/2/3/2/2/3/2/2/3/2/3/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/3/2/2/2/2/3/2/3/2/2/2/2/3/2/3/2/3/3/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/3/2/2/2/2/2/2/2/2/3/2/2/4/2/2/2/2/2/3/2/3/2/4/2/2/2/2/2/2/4/2/2/2/2/2/2/3/2/2/2/2/2/2/2/3/2/2/3/2/4/2/2/2/2/2/2/2/6/2/2/2/3/2/2/2/2/2/3/2/4/3/2/2/2/3/2/2/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/4/2/2/3/2/2/2/3/3/4/3/2/2/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/4/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/3/2/2/2/3/2/3/2/2/3/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/4/2/2/3/2/3/2/2/2/2/2/3/2/2/2/3/2/2/2/2/4/2/2/2/2/2/2/2/2/2/4/3/2/2/2/2/2/2/2/5/4/2/2/2/2/2/3/2/2/2/3/4/2/2/3/3/2/2/2/3/3/2/2/3/2/2/2/2/2/2/2/2/4/2/3/2/2/2/3/2/4/3/2/2/3/2/2/2/2/2/2/2/4/4/2/2/2/2/2/2/2/2/3/3/2/3/2/2/2/3/2/2/3/3/2/2/2/3/3/2/2/2/2/2/3/3/2/2/3/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/6/2/2/2/3/2/2/2/2/2/2/3/3/4/2/2/2/3/2/2/2/2/2/3/2/2/3/2/3/2/2/2/2/3/2/2/3/2/2/2/4/2/2/2/4/3/2/4/2/3/3/3/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/4/2/2/3/2/2/2/2/2/2/2/2/2/3/2/3/2/2/4/2/2/2/3/2/3/3/2/2/5/2/2/2/2/2/2/2/2/2/2/2/2/3/3/3/2/2/2/2/2/2/2/3/3/3/2/2/2/2/2/2/2/2/2/3/2/2/2/4/2/4/2/2/2/2/2/2/2/2/2/2/2/2/4/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/4/2/2/3/5/2/2/3/2/4/3/2/2/2/3/2/2/2/3/2/3/2/2/2/3/2/2/2/2/2/3/2/4/2/2/3/2/2/2/2/2/2/2/2/2/3/2/2/2/2/3/3/2/2/3/2/2/2/4/3/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/4/2/2/2/4/3/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/3/2/2/2/3/2/2/4/3/3/2/2/2/2/2/3/3/3/3/2/4/2/2/2/2/5/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/4/3/2/2/2/4/2/2/4/2/2/6/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/4/2/3/3/2/4/2/2/2/2/3/2/2/2/2/4/2/2/5/4/2/2/2/2/2/2/3/2/4/2/2/3/3/2/2/2/3/2/2/2/2/2/4/3/2/2/3/3/2/2/3/2/3/3/6/2/3/2/2/2/2/2/2/4/3/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/3/2/2/2/4/2/2/2/2/2/5/2/2/2/3/2/2/3/2/3/2/2/2/2/2/2/2/3/2/4/2/2/2/2/2/2/2/2/2/2/2/2/2/3/4/2/2/2/2/2/2/2/2/2/2/3/4/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/2/3/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/4/2/2/2/2/3/3/2/3/2/2/2/3/3/2/2/2/3/3/2/2/2/3/2/2/2/2/4/2/2/2/2/2/2/2/2/2/2/2/2/2/2/4/4/2/2/2/3/2/2/2/3/2/2/3/3/2/2/2/3/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/3/2/2/2/2/5/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/5/3/2/3/2/2/3/2/2/3/2/2/3/2/3/2/2/4/2/2/4/2/2/2/4/3/2/5/2/2/4/3/2/2/2/3/2/2/4/2/2/2/2/2/2/2/2/2/3/4/2/2/2/2/2/2/2/2/2/2/3/2/2/3/3/2/2/2/2/5/2/2/2/2/2/3/2/3/2/3/2/2/3/2/3/2/2/2/2/3/2/2/3/3/3/2/2/2/2/2/3/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/2/3/2/2/2/2/2/3/4/2/2/3/2/3/2/2/3/2/2/3/2/2/2/5/3/4/5/3/2/2/2/2/3/2/2/2/2/2/2/3/2/2/2/2/2/3/4/2/3/2/2/2/2/2/2/5/3/2/3/2/2/2/3/2/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/3/2/2/3/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/3/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/3/2/3/3/2/2/2/2/2/2/2/2/3/2/4/2/2/2/2/2/2/2/3/2/6/3/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/3/2/3/3/2/3/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/4/2/2/2/2/2/3/2/2/4/2/3/2/2/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/6/2/2/2/3/3/2/2/3/2/2/2/2/2/2/4/2/2/2/2/2/2/4/2/3/3/3/4/2/2/2/2/3/2/2/2/3/3/2/2/2/2/2/3/2/2/3/4/2/2/2/2/3/2/2/2/5/2/4/2/3/2/2/3/2/2/2/3/2/2/2/2/2/2/2/2/4/2/2/2/2/3/3/2/2/2/2/2/2/3/3/2/2/3/2/2/3/2/3/4/3/2/2/2/2/2/3/3/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/3/3/2/2/2/5/2/2/5/2/2/2/3/2/2/2/4/2/3/4/2/3/2/2/2/3/2/3/2/2/3/3/3/2/2/2/2/2/2/2/2/2/2/2/3/3/2/2/3/2/2/2/2/3/2/2/2/2/2/2/2/2/3/2/3/2/3/2/2/2/2/2/2/2/4/2/2/3/2/2/4/4/2/2/2/2/3/2/2/2/2/2/2/2/2/2/3/2/2/3/2/2/3/2/4/2/2/2/6/2/3/2/2/3/2/2/4/3/2/2/2/2/2/3/2/2/2/2/3/3/2/2/2/2/2/2/2/4/2/2/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/4/3/2/2/3/3/3/2/2/2/2/3/2/3/3/4/2/2/3/2/2/2/2/2/2/2/7/2/2/2/2/3/2/2/2/2/3/2/2/3/2/2/2/2/2/3/2/2/2/2/2/3/6/2/2/2/2/3/3/2/2/2/2/2/3/3/2/2/2/2/3/2/2/2/2/3/2/3/3/2/2/2/2/3/2/2/3/2/3/2/5/2/3/2/3/2/2/2/2/3/4/2/5/3/3/2/2/4/4/2/2/3/2/2/2/2/4/2/2/2/2/2/7/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/3/3/3/2/4/2/2/3/2/2/2/2/2/3/2/2/2/2/4/2/2/2/2/3/2/2/2/2/3/2/3/2/2/4/2/2/2/2/2/5/2/2/3/2/2/2/3/2/5/3/2/3/2/2/2/2/2/3/5/2/5/2/2/2/2/2/2/2/3/2/2/3/2/2/2/5/2/2/2/2/2/4/2/2/3/2/2/2/2/2/2/3/2/2/3/2/2/4/2/2/2/2/3/2/2/2/2/3/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/2/3/2/3/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/2/2/2/2/3/2/4/2/3/2/2/2/2/2/2/2/2/2/2/4/3/2/2/3/2/2/2/2/2/2/2/2/5/3/2/2/2/2/3/2/2/2/3/2/2/2/2/6/2/2/2/2/2/2/2/2/2/3/2/2/2/4/4/2/3/4/2/2/2/2/2/2/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/3/4/2/3/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/3/3/2/2/3/2/2/3/2/2/3/2/3/2/2/2/2/4/6/3/2/2/2/2/2/2/2/2/3/2/3/3/2/3/2/3/2/2/2/2/2/4/2/2/2/3/2/4/2/2/3/2/3/2/2/2/4/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/4/4/2/2/2/2/2/2/2/2/3/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/2/2/3/2/3/2/2/2/2/2/2/2/3/2/3/3/2/4/2/2/3/3/3/2/2/2/3/2/3/3/2/4/2/2/2/2/2/2/3/2/4/3/2/2/2/2/3/2/2/3/2/2/3/3/3/2/2/2/2/2/2/3/2/3/2/3/2/2/2/2/5/2/2/2/2/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/3/2/3/2/2/3/2/2/2/2/2/2/2/2/3/4/3/3/2/3/2/2/2/2/3/2/2/2/2/2/2/2/3/2/2/5/4/2/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/3/4/2/2/2/2/2/2/3/2/2/3/3/2/2/3/2/2/2/2/3/2/3/2/3/3/4/2/2/2/2/2/2/2/3/3/2/3/2/2/2/2/2/2/2/3/2/2/2/3/2/3/2/3/3/2/2/2/2/2/2/2/2/2/2/3/2/4/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/4/2/2/2/4/2/2/2/2/2/2/2/2/2/3/2/2/2/3/2/4/3/2/2/4/2/2/2/2/2/2/2/4/2/2/2/3/2/3/2/2/2/2/3/2/3/2/2/3/2/2/2/3/2/2/2/2/3/2/2/3/3/5/4/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/4/2/2/2/2/3/2/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/4/3/2/2/2/3/2/3/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/3/2/3/2/2/2/2/2/2/3/2/3/2/4/4/2/2/2/2/2/2/2/4/2/2/2/2/2/2/4/2/3/4/2/2/2/2/2/2/2/2/2/4/2/2/2/2/2/3/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/4/2/3/2/2/2/3/2/2/3/3/2/2/4/2/2/2/2/2/2/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/2/2/3/2/2/2/2/4/2/3/2/2/4/2/2/2/2/2/2/2/2/4/2/4/2/2/2/2/2/2/2/2/2/4/2/4/2/2/2/4/2/2/2/2/2/2/2/2/2/3/2/2/2/4/2/2/2/2/2/2/2/2/2/2/4/5/3/2/2/2/3/2/2/3/2/2/3/2/2/2/2/2/4/2/2/4/2/2/2/4/2/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/4/2/4/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/2/3/2/2/2/2/2/2/3/2/4/2/2/4/2/2/2/2/2/4/2/2/3/2/2/2/2/2/3/2/2/2/2/2/3/2/2/2/2/3/4/2/2/2/2/2/2/2/2/2/4/2/2/2/2/3/2/4/2/2/2/3/2/2/4/2/2/2/2/2/3/4/2/2/4/4/2/2/2/2/3/2/2/3/5/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/3/2/2/2/3/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/4/3/2/2/2/4/2/2/3/2/2/2/2/3/2/2/3/2/2/3/2/2/3/2/2/2/2/2/2/3/2/3/2/2/2/2/3/5/2/2/2/3/2/3/2/2/3/4/2/2/2/2/2/2/2/2/3/3/4/2/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/3/2/2/2/2/2/3/2/3/2/2/2/2/2/2/4/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/4/2/2/2/2/3/5/4/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/3/2/2/2/2/2/2/2/2/2/3/2/3/2/3/2/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/3/2/3/2/2/2/4/3/2/2/4/2/4/2/2/2/3/2/4/3/2/3/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/3/2/4/3/2/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/3/2/2/4/2/3/3/4/2/2/3/2/3/2/2/2/2/2/2/2/3/2/2/2/2/3/2/4/2/2/3/2/2/3/2/2/3/3/2/3/2/3/2/3/2/2/3/2/2/2/2/2/3/2/2/2/2/3/2/2/2/3/2/2/2/2/3/2/2/4/4/2/3/2/2/2/2/2/4/2/3/2/2/3/2/2/3/2/2/2/2/3/3/2/4/3/2/2/3/2/2/3/2/2/2/2/2/2/2/3/3/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/7/2/2/2/2/2/2/2/2/2/2/2/4/2/2/2/3/2/3/2/2/3/2/2/4/2/2/2/2/2/2/4/2/3/2/2/2/2/2/2/2/3/2/2/3/2/2/2/3/2/2/2/3/2/2/2/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/3/2/3/2/2/2/2/4/3/2/2/2/2/3/2/2/2/2/2/3/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/4/2/2/2/2/3/2/2/4/2/2/2/2/2/2/2/2/2/2/7/2/2/2/3/2/3/3/2/2/2/2/3/2/2/2/3/4/2/3/2/3/2/2/3/2/2/2/2/3/2/2/2/2/2/3/2/3/3/2/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/3/2/2/3/3/2/2/2/4/2/3/2/2/3/2/2/3/3/2/2/2/2/2/3/3/2/2/2/2/2/2/3/3/2/2/3/2/2/2/2/2/2/2/3/2/3/4/2/2/2/2/2/3/4/3/3/2/3/2/2/3/2/2/2/2/4/2/2/3/2/2/3/2/2/2/2/2/2/2/2/4/2/2/4/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/4/2/5/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/3/5/2/3/2/2/4/2/2/2/2/2/2/2/2/2/3/3/3/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/2/2/2/3/2/2/2/3/4/2/2/2/2/4/2/2/2/4/3/3/3/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/3/2/2/2/3/3/2/2/3/2/2/2/2/2/3/4/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/3/2/2/4/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/4/3/2/2/2/3/2/2/2/2/2/2/2/2/3/2/2/2/3/2/3/2/2/2/3/2/2/2/2/3/2/3/2/2/2/3/2/3/2/2/2/4/3/2/2/2/2/2/3/2/3/3/2/2/2/2/3/3/2/3/2/3/3/2/4/3/2/2/2/5/2/2/2/3/2/2/3/2/2/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/3/2/2/2/3/2/3/3/2/2/3/2/2/2/2/2/4/2/2/2/2/3/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/4/3/4/2/2/3/2/2/5/2/4/3/2/3/2/2/2/2/2/2/3/2/4/2/2/3/2/2/2/2/2/3/3/2/3/3/2/2/2/3/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/3/3/2/3/2/2/2/5/2/2/2/2/2/2/2/2/2/4/3/2/2/2/4/2/2/4/2/3/4/2/2/2/2/2/2/3/2/3/3/3/2/2/2/4/3/3/4/2/2/3/2/2/2/3/3/2/2/3/2/3/2/3/2/2/2/2/3/2/2/2/3/2/2/2/2/3/3/2/2/4/2/2/2/2/3/3/3/2/2/2/2/3/2/2/2/2/3/2/2/4/4/2/3/2/3/2/3/2/2/2/2/6/2/2/2/2/2/2/2/2/2/2/2/2/2/4/3/2/2/3/2/2/2/2/2/2/2/2/3/2/2/2/2/2/3/3/3/3/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/6/3/2/2/3/2/3/2/2/2/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/2/4/2/3/2/2/2/2/2/2/3/3/2/2/2/3/2/2/2/2/3/3/3/2/2/4/2/2/3/3/2/3/4/3/2/2/3/2/2/2/2/2/2/2/4/2/3/4/2/2/2/2/2/2/2/2/2/2/5/3/2/6/4/2/3/3/4/2/2/2/3/2/2/3/4/2/2/2/2/2/2/2/2/3/3/2/2/2/2/3/2/2/2/2/2/3/2/2/2/2/3/2/2/2/3/3/3/3/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/5/2/2/2/3/2/3/2/2/2/2/2/2/2/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/3/2/2/2/2/2/2/2/3/2/2/2/2/2/3/2/3/2/4/2/2/2/2/3/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/4/2/2/2/2/2/2/5/2/2/2/2/2/2/3/2/3/2/3/3/2/2/2/2/2/2/3/2/2/2/2/2/3/2/2/2/3/2/2/2/3/2/2/3/2/3/2/3/3/2/2/2/3/2/2/3/2/2/4/2/2/2/3/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/2/4/3/3/2/2/3/2/2/2/3/3/2/2/2/2/2/3/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/4/4/2/2/2/4/2/2/2/2/2/2/3/2/2/2/4/2/2/2/2/5/5/3/3/2/2/2/2/2/2/2/2/3/2/2/3/5/2/2/2/2/2/2/2/2/3/2/2/3/3/2/2/2/3/2/2/2/4/5/2/3/2/2/4/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/2/4/2/2/2/2/2/3/3/2/3/2/2/2/2/2/3/2/2/2/4/4/2/2/2/2/2/3/3/3/2/3/2/3/5/2/3/2/2/2/2/2/4/3/2/3/2/2/2/2/2/3/3/2/2/7/2/4/3/2/2/4/2/2/2/4/2/2/2/2/3/2/2/3/2/2/4/3/2/2/2/2/2/2/3/2/2/2/2/2/3/2/3/2/3/3/2/4/2/2/2/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/3/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/3/3/2/3/4/2/2/3/2/2/2/2/2/2/2/2/3/3/2/3/2/2/2/2/2/2/4/2/3/2/2/4/2/2/2/3/2/5/3/2/2/2/2/2/4/3/2/2/2/2/3/6/2/2/2/2/2/2/2/2/4/2/3/2/2/2/5/3/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/3/2/3/2/2/2/4/2/3/3/2/2/2/2/2/2/2/2/3/3/3/3/3/2/2/2/3/2/3/2/3/2/2/3/2/3/3/2/2/3/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/2/2/2/3/4/3/2/2/2/2/2/3/2/2/2/3/2/2/2/3/2/3/2/3/2/3/2/2/3/2/2/2/3/2/2/4/2/2/2/2/3/2/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/3/7/2/2/2/3/2/2/2/2/2/2/2/2/2/3/2/3/2/3/5/2/3/2/6/2/2/4/2/2/2/2/4/2/3/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/2/2/2/2/4/2/2/2/3/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/3/3/2/2/2/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/3/3/2/2/2/2/2/2/2/2/2/2/3/3/2/3/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/4/2/2/3/2/4/3/2/2/2/2/3/2/2/3/2/2/3/2/2/2/3/2/2/2/2/4/3/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/5/2/2/2/5/3/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/2/2/2/2/3/3/4/2/2/2/2/2/3/2/2/4/2/4/3/2/2/2/2/3/2/2/2/2/2/2/3/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/7/2/2/3/2/2/4/2/3/2/2/2/3/2/2/2/4/2/3/2/3/2/2/2/2/2/2/2/2/3/3/3/2/2/4/2/2/3/3/2/2/2/2/2/2/2/2/3/2/2/3/2/4/2/2/2/3/2/2/2/2/2/4/2/2/2/3/2/3/4/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/2/2/2/2/2/5/2/2/2/2/3/2/2/2/4/2/2/2/3/2/3/2/2/2/2/2/2/2/2/5/3/2/2/2/5/2/2/2/2/5/2/2/2/3/4/2/2/2/3/2/2/2/3/2/3/3/2/2/4/2/2/2/2/2/2/2/2/2/3/2/2/4/2/2/2/3/2/4/2/5/2/2/4/2/2/3/2/5/3/2/2/2/3/2/2/2/2/2/2/2/2/2/3/2/2/2/5/2/2/2/2/5/2/2/2/3/2/2/2/2/3/3/2/2/2/2/4/2/3/2/2/2/2/3/2/2/2/2/3/2/2/2/3/8/2/5/2/2/2/2/2/2/2/2/3/2/2/2/4/2/2/2/2/4/3/2/3/2/2/2/2/2/2/2/4/2/2/3/2/2/3/2/3/2/3/2/2/2/4/2/2/2/4/2/3/2/2/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/5/2/2/2/2/2/2/2/2/3/3/2/2/2/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/4/2/2/2/2/2/2/2/2/2/4/2/2/2/2/2/2/3/4/2/2/2/4/2/3/2/3/2/2/2/2/2/3/2/2/2/2/2/2/3/2/2/3/2/2/2/3/2/4/2/3/2/2/2/2/3/3/2/3/2/2/5/2/3/2/2/2/2/2/3/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/3/3/2/2/2/3/2/2/2/2/2/2/4/2/3/3/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/2/2/2/4/2/3/2/2/3/2/3/5/2/4/2/2/2/2/3/3/2/3/3/2/2/2/2/2/2/6/2/3/2/3/2/4/2/2/3/3/2/2/2/2/2/2/3/3/2/2/2/2/3/2/2/2/2/2/2/2/2/2/4/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/4/3/2/2/2/4/2/2/3/2/2/2/3/2/2/3/2/2/2/2/3/4/3/2/2/2/3/2/2/2/3/2/2/2/2/3/3/2/2/2/2/2/3/3/2/3/2/2/2/2/3/2/2/2/2/3/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/3/2/3/3/2/3/3/2/2/3/3/2/5/3/4/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/2/2/2/2/3/2/2/2/2/2/3/2/2/3/2/3/2/2/2/2/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/2/3/2/3/2/4/3/2/2/2/3/2/2/2/2/2/2/2/2/2/3/4/2/2/2/2/2/2/3/2/3/4/2/3/2/2/2/2/3/2/2/3/2/3/2/2/2/2/3/2/2/3/3/2/2/2/4/2/3/2/2/3/4/2/2/2/2/2/2/2/3/2/3/2/2/2/2/3/4/2/3/3/3/2/2/2/2/4/5/2/3/2/3/4/2/2/2/2/2/2/2/3/2/2/3/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/3/2/2/2/2/2/2/3/2/2/3/4/2/2/3/2/2/2/3/2/2/2/2/3/2/5/2/2/3/2/2/2/3/2/5/2/2/2/2/3/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/3/3/3/2/2/4/2/2/2/2/2/4/2/2/2/2/2/2/2/3/2/3/3/2/2/2/2/2/2/4/3/2/2/3/2/3/2/2/3/2/2/2/2/4/2/2/2/3/3/2/4/3/2/2/2/2/2/2/2/2/3/2/3/2/2/5/2/2/2/2/3/4/2/2/2/2/2/2/2/2/2/2/2/3/2/3/3/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/4/2/2/2/3/4/3/3/3/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/3/3/3/3/2/2/3/3/2/2/5/2/3/3/2/2/2/2/2/2/2/2/3/2/2/2/2/3/3/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/3/2/3/2/3/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/5/3/2/2/2/2/2/2/2/2/2/3/2/2/2/3/2/2/2/3/3/2/2/2/2/2/2/2/2/2/4/4/2/2/5/2/2/2/2/3/2/5/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/4/2/2/2/3/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/3/3/2/2/2/2/3/2/2/2/2/2/3/6/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/3/2/3/2/2/3/3/2/2/2/2/2/2/4/2/3/2/3/2/2/3/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/4/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/3/2/3/2/2/2/4/2/2/2/2/2/2/2/3/2/2/2/2/2/3/3/2/3/3/2/7/2/3/2/2/2/2/3/2/4/2/2/4/2/2/3/3/3/2/2/3/2/2/3/3/2/2/3/4/2/2/2/2/2/2/2/2/6/2/3/2/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/2/2/2/3/2/2/3/2/4/2/2/3/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/3/2/2/2/2/3/2/2/2/2/2/2/2/2/2/3/3/2/2/2/2/3/3/2/2/4/2/2/3/3/3/3/3/2/4/2/2/2/3/4/2/2/2/3/3/2/2/2/3/2/3/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/4/2/2/2/2/2/2/3/2/3/2/2/2/2/2/2/2/3/2/2/2/2/2/2/2/3/3/2/3/2/2/3/2/3/2/2/3/2/2/2/2/2/2/4/3/2/2/2/2/2/2/3/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/3/2/3/2/3/2/2/4/3/2/2/2/2/2/2/2/2/3/3/2/3/3/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/3/2/2/2/2/3/2/2/3/2/2/2/2/2/2/2/2/2/2/4/2/2/2/2/2/2/2/3/2/2/3/2/2/2/3/2/2/2/2/3/4/2/3/2/3/2/3/3/2/6/2/2/2/2/2/2/2/2/2/2/3/2/2/2/2/2/3/2/2/5/2/2/3/2/2/2/2/3/3/2/2/2/2/2/2/2/3/2/2/2/2/3/3/5/2/2/3/2/3/2/2/2/2/2/2/2/3/2/2/2/2/3/2/3/2/2/2/2/2/2/2/2/3/2/2/3/2/2/2/3/3/3/2/2/2/2/2/2/3/2/2/2
作者: ysr    时间: 2020-9-15 19:55
1413529与1513529之间的素数开头差为200560490130最多有8个连续素数:
/1428709/200561918839/401122408969/601682899099/802243389229/1002803879359/1203364369489/1403924859619
作者: ysr    时间: 2020-9-15 21:39
1513529与1613529之间的素数开头差为200560490130最多有8个连续素数:
/1539773/200562029903/401122520033/601683010163/802243500293/1002803990423/1203364480553/1403924970683

作者: ysr    时间: 2020-9-18 15:14
1625529与1655529之间的素数开头差为200560490130最多有7个连续素数:
/1650569/200562140699/401122630829/601683120959/802243611089/1002804101219/1203364591349

1785529与1795529之间的素数开头差为200560490130最多有6个连续素数:
/1794599/200562284729/401122774859/601683264989/802243755119/1002804245249

作者: ysr    时间: 2020-9-27 19:15
1与100之间的素数开头差为200560490130最多有3个连续素数:
3
5
7
11
13
17
19
23
29
31
37
41
43
47
53
59
61
67
71
73
79
/83/200560490213/401120980343
89
97

这个程序太慢,不会快速乘法除法程序,慢慢算吧,总能找出更多的连续素数。

作者: ysr    时间: 2020-9-27 19:38
1795529与1800000之间的素数开头差为200560490130最多有4个连续素数:
1795529
1795531
1795537
1795543
1795559
1795561
1795571
1795583
1795601
1795603
1795621
1795627
1795639
1795649
1795663
1795669
1795687
/1795697/200562285827/401122775957
1795699
1795733
/1795763/200562285893/401122776023/601683266153
1795769
1795777
/1795793/200562285923/401122776053
1795811
1795813
1795837
1795847
1795853
1795867
1795877
1795889
1795891
1795921
1795951
1795957
1795961
1795967
1795979
1795987
1795991
1796009
1796021
1796059
1796071
1796099
1796107
1796111
1796129
1796131
1796143
1796147
1796167
1796177
1796183
1796189
1796191
1796219
1796227
1796269
1796281
1796309
1796321
1796341
1796351
1796363
1796413
1796437
1796477
1796479
1796489
1796503
1796519
1796527
1796567
1796573
1796581
1796591
1796617
1796657
1796671
1796677
1796693
1796699
1796759
1796761
1796777
1796779
1796801
1796803
1796819
1796833
1796843
1796863
1796897
1796911
1796941
1796947
1796953
1796959
1796983
1796987
1797011
1797017
1797031
1797049
1797067
1797097
1797109
1797161
/1797167/200562287297/401122777427/601683267557
1797181
1797193
1797203
1797209
1797227
1797239
1797241
1797277
1797281
1797293
1797307
1797319
1797331
1797337
1797371
1797373
1797377
1797379
1797407
1797413
1797437
1797463
1797469
1797503
1797539
1797541
1797547
1797581
1797589
1797617
/1797637/200562287767/401122777897
1797641
1797667
1797673
1797751
1797769
/1797773/200562287903/401122778033/601683268163
1797779
1797781
1797821
1797823
1797827
/1797833/200562287963/401122778093
1797839
1797847
1797857
1797877
1797893
1797911
/1797947/200562288077/401122778207
1797953
1797967
1798001
1798003
1798009
1798021
/1798033/200562288163/401122778293/601683268423
1798037
1798051
1798057
/1798081/200562288211/401122778341/601683268471
/1798109/200562288239/401122778369
1798123
1798127
1798129
1798133
1798151
1798157
1798171
1798177
1798183
1798187
1798189
1798201
1798207
1798211
1798241
1798253
1798271
1798273
1798289
1798309
1798327
1798333
1798351
1798367
1798387
1798409
1798421
1798427
1798429
1798441
1798451
1798457
1798469
1798487
1798519
1798523
1798529
1798543
1798571
1798591
1798603
1798613
1798619
1798631
1798633
1798637
/1798639/200562288769/401122778899/601683269029
1798649
1798679
1798697
1798703
1798717
1798721
1798723
1798729
1798739
1798747
1798759
1798763
1798781
1798801
1798813
1798817
1798861
1798871
1798891
1798897
1798913
1798919
1798921
1798931
1798943
1798963
1798967
1798987
1798997
1798999
1799003
1799009
1799011
1799041
1799071
/1799081/200562289211/401122779341
1799089
1799099
1799107
1799117
1799123
1799137
1799141
1799153
1799173
1799177
1799179
1799219
1799227
1799233
1799251
1799261
1799269
1799279
1799309
1799311
1799381
1799393
1799407
1799417
1799423
1799453
1799477
1799503
1799521
1799527
/1799533/200562289663/401122779793
1799549
1799563
1799573
1799579
1799591
1799599
1799617
1799621
1799627
1799639
1799701
1799713
1799731
1799741
1799753
1799761
1799783
1799797
1799801
1799803
1799839
1799843
1799849
1799867
1799881
1799887
1799923
1799929
/1799951/200562290081/401122780211
1799969
1799983
1799999

作者: ysr    时间: 2020-9-28 06:33
2000000与2200000之间的素数开头差为200560490130最多有7个连续素数:
/2030251/200562520381/401123010511/601683500641/802243990771/1002804480901

数据太多,没找到7个的,只找到连续6个的。
作者: ysr    时间: 2020-9-28 11:48
2200000与2400000之间的素数开头差为200560490130最多有9个连续素数:
/2220187/200562710317/401123200447/601683690577/802244180707/1002804670837/1203365160967
没有找到9个的,只找到7个的。
空间容量小只显示到:
2237531
作者: ysr    时间: 2020-9-28 15:33
2320000与2325000之间的素数开头差为200560490130最多有5个连续素数:
2320001
2320039
2320051
2320063
2320091
2320111
2320127
2320139
2320169
2320183
2320193
2320207
2320243
2320247
2320259
2320291
2320301
2320321
2320361
2320363
2320387
2320391
2320397
2320399
2320421
2320427
2320471
2320481
2320511
2320519
2320543
2320547
/2320553/200562810683/401123300813
2320579
2320583
/2320627/200562810757/401123300887/601683791017
2320639
2320649
2320651
2320657
2320673
2320697
2320699
2320709
2320729
2320739
2320741
2320807
2320811
/2320837/200562810967/401123301097
2320847
2320859
2320873
2320897
2320909
2320933
2320943
2320961
2320979
2320987
2320991
2321003
2321009
2321017
2321023
2321041
2321057
2321087
2321089
/2321101/200562811231/401123301361
2321117
2321147
2321149
2321153
2321159
2321167
2321171
2321213
2321219
2321239
2321243
2321273
2321281
2321309
2321317
2321329
2321339
2321353
2321357
2321369
2321381
/2321383/200562811513/401123301643
2321393
2321399
2321443
2321507
/2321509/200562811639/401123301769/601683791899
/2321519/200562811649/401123301779
2321531
2321563
2321587
2321603
2321623
2321647
2321677
2321701
2321747
2321749
2321773
2321783
2321791
2321821
2321863
2321881
2321887
2321899
2321909
2321923
2321947
2321959
2321981
2321989
2321999
2322031
2322041
2322071
2322077
2322079
2322101
2322107
2322109
2322113
/2322119/200562812249/401123302379
2322121
2322127
2322137
2322143
2322163
2322169
2322193
2322211
/2322227/200562812357/401123302487
2322239
2322247
2322253
2322259
/2322269/200562812399/401123302529/601683792659
2322283
2322337
2322347
2322361
2322367
2322373
/2322377/200562812507/401123302637
2322401
2322403
/2322409/200562812539/401123302669/601683792799
2322431
2322443
2322457
2322479
2322487
2322491
2322493
2322497
2322569
2322571
2322577
2322583
2322629
2322631
2322637
2322647
2322667
2322673
2322707
2322713
2322757
2322763
2322767
2322779
2322791
2322797
2322821
2322851
2322857
2322869
2322911
/2322917/200562813047/401123303177
2322949
2322953
2322961
2322967
2322973
2323001
2323003
2323021
2323031
2323037
2323039
2323081
2323099
2323121
2323127
2323151
2323157
2323177
2323201
2323213
2323229
2323231
2323259
2323261
2323273
2323297
2323309
2323313
2323331
2323337
2323367
2323369
2323379
2323381
2323397
2323403
/2323411/200562813541/401123303671
2323421
2323423
2323427
2323439
2323457
2323459
2323463
2323549
2323561
2323571
2323583
2323609
2323613
2323631
2323669
2323691
2323693
2323697
/2323703/200562813833/401123303963
2323721
2323733
2323777
2323787
2323793
2323801
2323813
2323817
/2323819/200562813949/401123304079
2323823
2323831
2323837
/2323847/200562813977/401123304107/601683794237
2323873
2323877
2323889
2323907
2323939
2323949
2323969
2323987
2323999
2324017
2324033
2324093
2324117
2324123
2324129
2324143
2324149
2324159
2324171
2324177
/2324183/200562814313/401123304443
2324191
2324233
2324237
2324261
2324269
2324281
/2324317/200562814447/401123304577
2324351
2324353
2324381
2324419
2324447
2324453
2324459
2324467
2324471
/2324501/200562814631/401123304761
2324503
2324507
2324513
2324521
2324533
2324551
2324557
2324617
2324629
/2324639/200562814769/401123304899
2324653
2324681
2324683
/2324701/200562814831/401123304961
2324711
2324731
2324743
2324779
2324809
2324851
2324867
2324873
2324879
2324899
2324929
2324941
2324953
2324957
/2324981/200562815111/401123305241/601683795371/802244285501
2324999

离9个的不远了改天找吧

作者: ysr    时间: 2020-9-29 17:57
2325000与2400000之间的素数开头差为200560490130最多有9个连续素数:
/2364409/200562854539/401123344669/601683834799/802244324929/1002804815059/1203365305189/1403925795319/1604486285449

作者: ysr    时间: 2020-9-30 07:39
2700000与2800000之间的素数开头差为200560490130最多有7个连续素数:
/2764933/200563255063/401123745193/601684235323/802244725453/1002805215583/1203365705713
作者: ysr    时间: 2020-9-30 14:11
2900000与3300000之间的素数开头差为200560490130最多有7个连续素数:
/2942881/200563433011/401123923141/601684413271/802244903401/1002805393531/1203365883661
/3036269/200563526399/401124016529/601684506659/802244996789/1002805486919/1203365977049
/3044221/200563534351/401124024481/601684514611/802245004741/1002805494871/1203365985001
/3145817/200563635947/401124126077/601684616207/802245106337/1002805596467/1203366086597
/3155563/200563645693/401124135823/601684625953/802245116083/1002805606213/1203366096343

作者: ysr    时间: 2020-9-30 16:36
2400000与2500000之间的素数开头差为200560490130最多有7个连续素数:
/2419073/200562909203/401123399333/601683889463/802244379593/1002804869723/1203365359853
/2423969/200562914099/401123404229/601683894359/802244384489/1002804874619/1203365364749

作者: ysr    时间: 2020-10-1 20:36
3511000与3551000之间的素数开头差为200560490130最多有7个连续素数:
/3517991/200564008121/401124498251/601684988381/802245478511/1002805968641/1203366458771

作者: ysr    时间: 2020-10-1 21:14
3551000与3591000之间的素数开头差为200560490130最多有7个连续素数:
/3571157/200564061287/401124551417/601685041547/802245531677/1002806021807/1203366511937

作者: ysr    时间: 2020-10-1 21:55
3591000与3631000之间的素数开头差为200560490130最多有8个连续素数:
/3618163/200564108293/401124598423/601685088553/802245578683/1002806068813/1203366558943/1403927049073

作者: ysr    时间: 2020-10-1 22:46
3631000与3671000之间的素数开头差为200560490130最多有8个连续素数:
/3659317/200564149447/401124639577/601685129707/802245619837/1002806109967/1203366600097/1403927090227

作者: ysr    时间: 2020-10-2 10:24
3851000与3891000之间的素数开头差为200560490130最多有9个连续素数:
/3860557/200564350687/401124840817/601685330947/802245821077/1002806311207/1203366801337/1403927291467/1604487781597
/3875539/200564365669/401124855799/601685345929/802245836059/1002806326189/1203366816319

作者: ysr    时间: 2020-10-2 11:14
3891000与3951000之间的素数开头差为200560490130最多有7个连续素数:
/3902419/200564392549/401124882679/601685372809/802245862939/1002806353069/1203366843199

作者: ysr    时间: 2020-10-2 14:42
4051000与4101000之间的素数开头差为200560490130最多有7个连续素数:
/4098503/200564588633/401125078763/601685568893/802246059023/1002806549153/1203367039283

作者: ysr    时间: 2020-10-2 16:36
4153000与4154000之间的素数开头差为200560490130最多有4个连续素数:

代码如下:(只发主程序)

Private Sub Command1_Click()
Dim a, b
a = Trim(Text1)
a1 = a
Q = Trim(Text2)
m = Sqr(Q)
If Right(a, 1) Mod 2 = 0 Then
a = MPC1(Trim(a), 1)
Else
a = a
End If

Do While InStr(fenjieyinzi0(Trim(a)), "*") <> 0
a = MPC1(Trim(a), 2)
Loop

Do While MBJC(Trim(a), Trim(Q)) < 0
b = a
d = fenjieyinzi0(Trim(b))
s = 0
s3 = ""
Do While s < 40 And InStr(d, "*") = 0
s4 = s + 1
If s4 Mod 20 = 0 Then
s3 = s3 & "/" & b & vbCrLf
Else
s3 = s3 & "/" & b
End If
s = s + 1
s2 = s * (s + 1)
b = MPC1(Trim(b), "200560490130")
d = fenjieyinzi0(Val(b))
Loop
If s > 6 Then
Text3 = Text3 & s3 & vbCrLf
ElseIf InStr(fenjieyinzi0(Trim(a)), "*") = 0 Then
Text3 = Text3
End If
If s > 1 Then
s5 = s5 & "/" & s
Else
s5 = s5
End If
Print s5
a = MPC1(Trim(a), 2)
s2 = 0
Loop
s6 = Mid(s5, 2)
     s7 = max(Trim(s6))
Combo1 = a1 & "与" & Q & "之间的素数开头差为200560490130最多有" & s7 & "个连续素数:" & vbCrLf & Text3

     
Text4 = s5
End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Combo1 = ""
Form1.Cls
End Sub
Private Function max(ByVal lists As String) As String
Dim temp As Long
Dim a() As String
a = Split(lists, "/")
Dim b As Long

For b = 0 To UBound(a)
If temp < a(b) Then temp = a(b)
Next
max = temp
End Function

作者: ysr    时间: 2020-10-3 20:23
4154000与4194000之间的素数开头差为200560490130最多有9个连续素数:
/4182133/200564672263/401125162393/601685652523/802246142653/1002806632783/1203367122913/1403927613043
/4188857/200564678987/401125169117/601685659247/802246149377/1002806639507/1203367129637/1403927619767/1604488109897

作者: ysr    时间: 2020-10-3 21:01
4194000与4244000之间的素数开头差为200560490130最多有7个连续素数:
/4235663/200564725793/401125215923/601685706053/802246196183/1002806686313/1203367176443
/4243969/200564734099/401125224229/601685714359/802246204489/1002806694619/1203367184749
作者: ysr    时间: 2020-10-3 21:45
4244000与4294000之间的素数开头差为200560490130最多有7个连续素数:
/4286801/200564776931/401125267061/601685757191/802246247321/1002806737451/1203367227581

作者: ysr    时间: 2020-10-4 03:37
4294000与4394000之间的素数开头差为200560490130最多有7个连续素数:
/4323707/200564813837/401125303967/601685794097/802246284227/1002806774357/1203367264487
/4349153/200564839283/401125329413/601685819543/802246309673/1002806799803/1203367289933
/4384189/200564874319/401125364449/601685854579/802246344709/1002806834839/1203367324969

作者: ysr    时间: 2020-10-4 11:09
4444000与4494000之间的素数开头差为200560490130最多有8个连续素数:
/4444483/200564934613/401125424743/601685914873/802246405003/1002806895133/1203367385263/1403927875393
/4479989/200564970119/401125460249/601685950379/802246440509/1002806930639/1203367420769/1403927910899

作者: ysr    时间: 2020-10-4 12:14
4494000与4544000之间的素数开头差为200560490130最多有7个连续素数:
/4522619/200565012749/401125502879/601685993009/802246483139/1002806973269/1203367463399

作者: ysr    时间: 2020-10-4 15:56
4544000与4644000之间的素数开头差为200560490130最多有7个连续素数:
/4636319/200565126449/401125616579/601686106709/802246596839/1002807086969/1203367577099

作者: ysr    时间: 2020-10-4 16:04
200560490130=2*3*5*7*11*……*31,改天再把公差算的大一点试试吧。
作者: ysr    时间: 2020-10-7 19:34
4644000与4744000之间的素数开头差为200560490130最多有7个连续素数:
/4715899/200565206029/401125696159/601686186289/802246676419/1002807166549/1203367656679

作者: ysr    时间: 2020-10-8 05:55
4744000与4944000之间的素数开头差为200560490130最多有8个连续素数:
/4827461/200565317591/401125807721/601686297851/802246787981/1002807278111/1203367768241
/4838333/200565328463/401125818593/601686308723/802246798853/1002807288983/1203367779113/1403928269243

作者: ysr    时间: 2020-10-8 08:11
4944000与5044000之间的素数开头差为200560490130最多有6个连续素数:

作者: ysr    时间: 2020-10-8 12:00
5044000与5144000之间的素数开头差为200560490130最多有7个连续素数:
/5106053/200565596183/401126086313/601686576443/802247066573/1002807556703/1203368046833

作者: ysr    时间: 2020-10-8 14:09
5144000与5194000之间的素数开头差为200560490130最多有8个连续素数:
/5154997/200565645127/401126135257/601686625387/802247115517/1002807605647/1203368095777/1403928585907

作者: ysr    时间: 2020-10-8 16:19
5194000与5274000之间的素数开头差为200560490130最多有9个连续素数:
/5205463/200565695593/401126185723/601686675853/802247165983/1002807656113/1203368146243
/5213209/200565703339/401126193469/601686683599/802247173729/1002807663859/1203368153989/1403928644119/1604489134249
/5243443/200565733573/401126223703/601686713833/802247203963/1002807694093/1203368184223

作者: ysr    时间: 2020-10-13 23:58
5274000与5314000之间的素数开头差为200560490130最多有7个连续素数:
/5297207/200565787337/401126277467/601686767597/802247257727/1002807747857/1203368237987

作者: ysr    时间: 2020-10-14 07:18
5314000与5354000之间的素数开头差为200560490130最多有7个连续素数:
/5352199/200565842329/401126332459/601686822589/802247312719/1002807802849/1203368292979

作者: ysr    时间: 2020-10-14 11:05
5354000与5394000之间的素数开头差为200560490130最多有11个连续素数:
/5354861/200565844991/401126335121/601686825251/802247315381/1002807805511/1203368295641
/5378959/200565869089/401126359219/601686849349/802247339479/1002807829609/1203368319739/1403928809869/1604489299999/1805049790129/2005610280259

作者: ysr    时间: 2020-10-14 12:03
5394000与5444000之间的素数开头差为200560490130最多有7个连续素数:
/5431121/200565921251/401126411381/601686901511/802247391641/1002807881771/1203368371901

作者: ysr    时间: 2020-10-14 16:26
5534000与5574000之间的素数开头差为200560490130最多有6个连续素数:

作者: ysr    时间: 2020-10-15 17:38
综合前面数据连续6个以内的成等差的素数很多,连续7,8,9,10的就很少,连续11个的仅发现一个,但肯定不是唯一的,而是有无穷多的。继续研究一下。
作者: ysr    时间: 2020-10-15 17:48
200560490130为31以内的素数的连乘积,再扩大一下乘到97如何?
如下为97内的素数的连乘积(我用我编程的计算器一个一个乘出来的,不知道是不是漏掉了某些素数):
53617859626639963366351212728645490
程序也要改进一下。
作者: ysr    时间: 2020-10-15 18:39
程序无法运行了,不知道哪儿的问题,哪儿?还是改回去继续算差为200560490130的。
作者: ysr    时间: 2020-10-15 23:24
5694000与5744000之间的素数开头差为200560490130最多有7个连续素数:
/5707523/200566197653/401126687783/601687177913/802247668043/1002808158173/1203368648303

作者: ysr    时间: 2020-10-16 12:55
5834000与5914000之间的素数开头差为200560490130最多有7个连续素数:
/5894891/200566385021/401126875151/601687365281/802247855411/1002808345541/1203368835671

作者: ysr    时间: 2020-10-16 14:12
5914000与5994000之间的素数开头差为200560490130最多有6个连续素数:
很费劲,多于7个的就很少了。

作者: ysr    时间: 2020-10-17 21:07
5994000与6074000之间的素数开头差为200560490130最多有7个连续素数:
/6073237/200566563367/401127053497/601687543627/802248033757/1002808523887/1203369014017

作者: ysr    时间: 2020-10-18 06:41
6154000与6234000之间的素数开头差为200560490130最多有7个连续素数:
/6201683/200566691813/401127181943/601687672073/802248162203/1002808652333/1203369142463
/6225619/200566715749/401127205879/601687696009/802248186139/1002808676269/1203369166399

作者: ysr    时间: 2020-10-18 10:55
6234000与6314000之间的素数开头差为200560490130最多有7个连续素数:
/6284777/200566774907/401127265037/601687755167/802248245297/1002808735427/1203369225557

作者: ysr    时间: 2020-10-18 11:37
6314000与6394000之间的素数开头差为200560490130最多有8个连续素数:
/6320129/200566810259/401127300389/601687790519/802248280649/1002808770779/1203369260909/1403929751039

作者: ysr    时间: 2020-10-18 12:54
6394000与6474000之间的素数开头差为200560490130最多有8个连续素数:
/6447457/200566937587/401127427717/601687917847/802248407977/1002808898107/1203369388237
/6470953/200566961083/401127451213/601687941343/802248431473/1002808921603/1203369411733/1403929901863

作者: ysr    时间: 2020-10-18 15:42
6554000与6634000之间的素数开头差为200560490130最多有6个连续素数:
找连续更多的素数还是很费劲的。

作者: ysr    时间: 2020-10-19 19:55
200560490130*37=7420738134810,求一下公差为7420738134810,的连续素数最多连续几个?
作者: ysr    时间: 2020-10-20 04:20
6714000与6794000之间的素数开头差为7420738134810最多有7个连续素数:
/6759481/7420744894291/14841483029101/22262221163911/29682959298721/37103697433531/44524435568341

作者: ysr    时间: 2020-10-20 11:48
6954000与7034000之间的素数开头差为7420738134810最多有7个连续素数:
/7033823/7420745168633/14841483303443/22262221438253/29682959573063/37103697707873/44524435842683

作者: ysr    时间: 2020-10-20 14:32
7034000与7114000之间的素数开头差为7420738134810最多有8个连续素数:
/7041967/7420745176777/14841483311587/22262221446397/29682959581207/37103697716017/44524435850827/51945173985637
/7098613/7420745233423/14841483368233/22262221503043/29682959637853/37103697772663/44524435907473/51945174042283

作者: ysr    时间: 2020-10-20 16:22
7114000与7194000之间的素数开头差为7420738134810最多有6个连续素数:
上班了,明天再找,不好找。

作者: ysr    时间: 2020-10-21 19:53
7194000与7274000之间的素数开头差为200560490130最多有8个连续素数:
/7264813/200567754943/401128245073/601688735203/802249225333/1002809715463/1203370205593/1403930695723

作者: ysr    时间: 2020-10-21 21:06
7274000与7354000之间的素数开头差为200560490130最多有10个连续素数:
/7291259/200567781389/401128271519/601688761649/802249251779/1002809741909/1203370232039/1403930722169/1604491212299/1805051702429
/7311373/200567801503/401128291633/601688781763/802249271893/1002809762023/1203370252153





欢迎光临 数学中国 (http://www.mathchina.com/bbs/) Powered by Discuz! X3.4