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基础理论中的两个重要定理的证明

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 楼主| 发表于 2026-4-7 05:52 | 显示全部楼层
3999143与4999143之间的素数开头最多有公差为6469693230的10个连续素数:
/4000693/6473693923/12943387153/19413080383/25882773613/32352466843
/4017191/6473710421/12943403651/19413096881/25882790111/32352483341
/4034777/6473728007/12943421237/19413114467/25882807697/32352500927
/4043401/6473736631/12943429861/19413123091/25882816321/32352509551
/4065751/6473758981/12943452211/19413145441/25882838671/32352531901
/4068541/6473761771/12943455001/19413148231/25882841461/32352534691
/4077121/6473770351/12943463581/19413156811/25882850041/32352543271/38822236501
/4090243/6473783473/12943476703/19413169933/25882863163/32352556393
/4104977/6473798207/12943491437/19413184667/25882877897/32352571127
/4108309/6473801539/12943494769/19413187999/25882881229/32352574459
/4123181/6473816411/12943509641/19413202871/25882896101/32352589331/38822282561
/4128781/6473822011/12943515241/19413208471/25882901701/32352594931
/4144963/6473838193/12943531423/19413224653/25882917883/32352611113/38822304343/45291997573
/4169327/6473862557/12943555787/19413249017/25882942247/32352635477/38822328707
/4178729/6473871959/12943565189/19413258419/25882951649/32352644879/38822338109
/4205569/6473898799/12943592029/19413285259/25882978489/32352671719/38822364949
/4230397/6473923627/12943616857/19413310087/25883003317/32352696547/38822389777/45292083007
/4252877/6473946107/12943639337/19413332567/25883025797/32352719027
/4256191/6473949421/12943642651/19413335881/25883029111/32352722341
/4261193/6473954423/12943647653/19413340883/25883034113/32352727343
/4282231/6473975461/12943668691/19413361921/25883055151/32352748381/38822441611
/4290413/6473983643/12943676873/19413370103/25883063333/32352756563/38822449793
/4298027/6473991257/12943684487/19413377717/25883070947/32352764177
/4315891/6474009121/12943702351/19413395581/25883088811/32352782041
/4341223/6474034453/12943727683/19413420913/25883114143/32352807373
/4346239/6474039469/12943732699/19413425929/25883119159/32352812389
/4371097/6474064327/12943757557/19413450787/25883144017/32352837247/38822530477
/4377929/6474071159/12943764389/19413457619/25883150849/32352844079/38822537309
/4390889/6474084119/12943777349/19413470579/25883163809/32352857039
/4393061/6474086291/12943779521/19413472751/25883165981/32352859211/38822552441/45292245671/51761938901/58231632131
/4409747/6474102977/12943796207/19413489437/25883182667/32352875897
/4410221/6474103451/12943796681/19413489911/25883183141/32352876371/38822569601
/4424503/6474117733/12943810963/19413504193/25883197423/32352890653/38822583883/45292277113
/4426057/6474119287/12943812517/19413505747/25883198977/32352892207
/4429417/6474122647/12943815877/19413509107/25883202337/32352895567
/4438271/6474131501/12943824731/19413517961/25883211191/32352904421
/4438901/6474132131/12943825361/19413518591/25883211821/32352905051
/4450319/6474143549/12943836779/19413530009/25883223239/32352916469
/4452233/6474145463/12943838693/19413531923/25883225153/32352918383
/4472359/6474165589/12943858819/19413552049/25883245279/32352938509/38822631739
/4492643/6474185873/12943879103/19413572333/25883265563/32352958793
/4514947/6474208177/12943901407/19413594637/25883287867/32352981097/38822674327/45292367557
/4543013/6474236243/12943929473/19413622703/25883315933/32353009163
/4547831/6474241061/12943934291/19413627521/25883320751/32353013981
/4553587/6474246817/12943940047/19413633277/25883326507/32353019737/38822712967
/4562501/6474255731/12943948961/19413642191/25883335421/32353028651
/4562897/6474256127/12943949357/19413642587/25883335817/32353029047
/4581277/6474274507/12943967737/19413660967/25883354197/32353047427
/4593157/6474286387/12943979617/19413672847/25883366077/32353059307
/4597013/6474290243/12943983473/19413676703/25883369933/32353063163
/4597819/6474291049/12943984279/19413677509/25883370739/32353063969
/4601939/6474295169/12943988399/19413681629/25883374859/32353068089/38822761319/45292454549
/4613743/6474306973/12944000203/19413693433/25883386663/32353079893/38822773123
/4621381/6474314611/12944007841/19413701071/25883394301/32353087531/38822780761
/4621867/6474315097/12944008327/19413701557/25883394787/32353088017
/4621999/6474315229/12944008459/19413701689/25883394919/32353088149
/4627229/6474320459/12944013689/19413706919/25883400149/32353093379/38822786609
/4630867/6474324097/12944017327/19413710557/25883403787/32353097017
/4645237/6474338467/12944031697/19413724927/25883418157/32353111387
/4664279/6474357509/12944050739/19413743969/25883437199/32353130429/38822823659
/4675169/6474368399/12944061629/19413754859/25883448089/32353141319
/4679923/6474373153/12944066383/19413759613/25883452843/32353146073/38822839303
/4689473/6474382703/12944075933/19413769163/25883462393/32353155623
/4696961/6474390191/12944083421/19413776651/25883469881/32353163111
/4709689/6474402919/12944096149/19413789379/25883482609/32353175839
/4714499/6474407729/12944100959/19413794189/25883487419/32353180649
/4745987/6474439217/12944132447/19413825677/25883518907/32353212137/38822905367
/4756439/6474449669/12944142899/19413836129/25883529359/32353222589/38822915819
/4756877/6474450107/12944143337/19413836567/25883529797/32353223027
/4762073/6474455303/12944148533/19413841763/25883534993/32353228223/38822921453/45292614683
/4782131/6474475361/12944168591/19413861821/25883555051/32353248281
/4801561/6474494791/12944188021/19413881251/25883574481/32353267711
/4823303/6474516533/12944209763/19413902993/25883596223/32353289453
/4839803/6474533033/12944226263/19413919493/25883612723/32353305953
/4840387/6474533617/12944226847/19413920077/25883613307/32353306537
/4846481/6474539711/12944232941/19413926171/25883619401/32353312631
/4850941/6474544171/12944237401/19413930631/25883623861/32353317091
/4892197/6474585427/12944278657/19413971887/25883665117/32353358347
/4899599/6474592829/12944286059/19413979289/25883672519/32353365749/38823058979
/4905427/6474598657/12944291887/19413985117/25883678347/32353371577
/4916063/6474609293/12944302523/19413995753/25883688983/32353382213/38823075443
/4919381/6474612611/12944305841/19413999071/25883692301/32353385531
/4928563/6474621793/12944315023/19414008253/25883701483/32353394713
/4937129/6474630359/12944323589/19414016819/25883710049/32353403279
/4967761/6474660991/12944354221/19414047451/25883740681/32353433911
/4973567/6474666797/12944360027/19414053257/25883746487/32353439717
/4976383/6474669613/12944362843/19414056073/25883749303/32353442533
/4978483/6474671713/12944364943/19414058173/25883751403/32353444633
/4997387/6474690617/12944383847/19414077077/25883770307/32353463537
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 楼主| 发表于 2026-4-7 05:53 | 显示全部楼层
/4393061/6474086291/12943779521/19413472751/25883165981/32352859211/38822552441/45292245671/51761938901/58231632131
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 楼主| 发表于 2026-4-7 15:46 | 显示全部楼层
4999143与10999143之间的素数开头最多有公差为6469693230的10个连续素数:
/6525073/6476218303/12945911533/19415604763/25885297993/32354991223/38824684453/45294377683/51764070913/58233764143
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 楼主| 发表于 2026-4-7 18:16 | 显示全部楼层
10999143与13999143之间的素数开头最多有公差为6469693230的9个连续素数:
/11006609/6480699839/12950393069/19420086299/25889779529/32359472759
/11007233/6480700463/12950393693/19420086923/25889780153/32359473383/38829166613/45298859843/51768553073
/12359077/6482052307/12951745537/19421438767/25891131997/32360825227/38830518457/45300211687/51769904917
/13145969/6482839199/12952532429/19422225659/25891918889/32361612119/38831305349/45300998579/51770691809
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 楼主| 发表于 2026-4-7 21:17 | 显示全部楼层
13999143与15999143之间的素数开头最多有公差为6469693230的9个连续素数:
/14432003/6484125233/12953818463/19423511693/25893204923/32362898153/38832591383/45302284613/51771977843
/14781493/6484474723/12954167953/19423861183/25893554413/32363247643/38832940873/45302634103/51772327333
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 楼主| 发表于 2026-4-8 06:23 | 显示全部楼层
15999143与19999143之间的素数开头最多有公差为6469693230的9个连续素数:
/18100759/6487793989/12957487219/19427180449/25896873679/32366566909/38836260139/45305953369/51775646599
/19822217/6489515447/12959208677/19428901907/25898595137/32368288367/38837981597/45307674827/51777368057
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 楼主| 发表于 2026-4-8 06:25 | 显示全部楼层
Private Sub Command1_Click()
Dim a, b
a = Val(Text1)
a1 = a
Q = Val(Text2)
r = Val(Text4)
m = Sqr(Q)
If Right(a, 1) Mod 2 = 0 Then
a = a + 1
Else
a = a
End If

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

Do While a <= Q
b = a
d = fenjieyinzi(Val(b))
s = 0
s3 = ""
Do While s >= 0 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 + r
d = fenjieyinzi(Val(b))
Loop
If s > 5 Then
Text3 = Text3 & s3 & 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公差为" & r & "的" & s7 & "个连续素数:" & vbCrLf & Text3

     

End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Text4 = ""
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

Private Function fenjieyinzi(sa As String) As String
Dim x, a, b, k As String
a = Val(sa)

x = 3
If a <= 1 Or a > Int(a) Then
If a = 1 Then
fenjieyinzi = "它既不是质数,也不是合数"

Else
MsgBox "error"
End If
  
Else

Do While a / 2 = Int(a / 2) And a >= 4
  
If b = 0 Then
fenjieyinzi = fenjieyinzi & "2"
b = 1
Else
fenjieyinzi = fenjieyinzi & "*2"
End If
a = a / 2
k = a
  
Loop

Do While a > 1
Do While x <= Sqr(a)
Do While a / x = Int(a / x) And a >= x * x
  
If b = 0 Then
fenjieyinzi = fenjieyinzi & x
b = 1
Else
fenjieyinzi = fenjieyinzi & "*" & x
End If
a = a / x
Loop
  
x = x + 2
Loop
  
k = a
a = 1
Loop
  
If b = 1 Then
fenjieyinzi = fenjieyinzi & "*" & k
Else
fenjieyinzi = "这是一个质数"
End If
  
  
  
  

End If

End Function

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 楼主| 发表于 2026-4-9 08:21 | 显示全部楼层
19999143与20999143之间的素数开头最多有公差为6469693230的8个连续素数:
/20274769/6489967999/12959661229/19429354459/25899047689/32368740919/38838434149/45308127379
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 楼主| 发表于 2026-4-9 09:05 | 显示全部楼层
20999143与21999143之间的素数开头最多有公差为6469693230的9个连续素数:

/21469057/6491162287/12960855517/19430548747/25900241977
/21470653/6491163883/12960857113/19430550343
/21470837/649116……(未显示完整)
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 楼主| 发表于 2026-4-9 09:21 | 显示全部楼层
/21661253/6491354483/12961047713/19430740943/25900434173/32370127403/38839820633/45309513863
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