[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-8-23 20:59

10^n 二生L10差等于210的数量实际数量理论-实际误差/实际
2 7 0 7 #DIV/0!
3 27 21 6 2.857142857143E-01
4 89 77 12 1.558441558442E-01
5 307 285 22 7.719298245614E-02
6 1302 1273 29 2.278083267871E-02
7 6480 6463 17 2.630357419155E-03
8 35978 36196 -218 -6.022764946403E-03
9 216260 216992 -732 -3.373396254240E-03
10 1379524
11 9218619
12 63958594
13 457717529
14 3362215008
15 25253716400
16 1.9336717199700000E+11
17 1.5056945736800000E+12
18 1.1899213729646000E+13
19 9.5280730270352000E+13
20 7.7195377070048200E+14
21 6.3206685854753900E+15
22 5.2249318625574700E+16
23 4.3567742561830600E+17
24 3.6617366630677400E+18
25 3.0999812037799000E+19
26 2.6419704448671100E+20
27 2.2655319825495200E+21
28 1.9538317951467800E+22
29 1.6939541397358700E+23
30 1.4758927767923500E+24
31 1.2918252683089600E+25
32 1.1355847561092300E+26
33 1.0022712615260600E+27
34 8.8796272612133200E+27
35 7.8949814392665900E+28
36 7.0431333971276200E+29
37 6.3031556595530700E+30
38 5.6578698385700100E+31
39 5.0930982078894400E+32
40 4.5970792679082800E+33
41 4.1600083250095800E+34
42 3.7736740623609600E+35
43 3.4311693228658700E+36
44 3.1266596399656800E+37
45 2.8551969827361100E+38
46 2.6125691104580600E+39
47 2.3951771295305800E+40
48 2.1999355058892600E+41
49 2.0241900485128100E+42
50 1.8656503454133800E+43
51 1.7223338767598500E+44
52 1.5925196049893900E+45
53 1.4747092893219900E+46
54 1.3675951221352200E+47
55 1.2700325597897000E+48
56 1.1810174377822900E+49
57 1.0996666324921800E+50
58 1.0252016691555700E+51
59 9.5693478563566700E+51
60 8.9425704988531400E+52
61 8.3662820025576100E+53
62 7.8356793550349500E+54
63 7.3464842824039800E+55
64 6.8948787381807000E+56
65 6.4774491793699100E+57
66 6.0911383197122200E+58

独舟星海 · 发表于 2021-8-23 21:01

10^n 二生L10差等于216的数量实际数量理论-实际误差/实际
2 2 0 2 #DIV/0!
3 11 10 1 1.000000000000E-01
4 36 38 -2 -5.263157894737E-02
5 123 122 1 8.196721311475E-03
6 522 532 -10 -1.879699248120E-02
7 2601 2635 -34 -1.290322580645E-02
8 14440 14444 -4 -2.769315978953E-04
9 86801 86654 147 1.696401781799E-03
10 553708
11 3700133
12 25671454
13 183716898
14 1349512904
15 10136239380
16 77612970411
17 6.0434988622400000E+11
18 4.7760605566240000E+12
19 3.8243412379155000E+13
20 3.0984382998299200E+14
21 2.5369656019683400E+15
22 2.0971630182283400E+16
23 1.7487052633762300E+17
24 1.4697337523781100E+18
25 1.2442585106914700E+19
26 1.0604239170911600E+20
27 9.0933049758295000E+20
28 7.8422147740983300E+21
29 6.7991278544444500E+22
30 5.9238815582261700E+23
31 5.1850784851850500E+24
32 4.5579663375944000E+25
33 4.0228777698867200E+26
34 3.5640705750282900E+27
35 3.1688572290634300E+28
36 2.8269457442599400E+29
37 2.5299363312426300E+30
38 2.2709339948388800E+31
39 2.0442481339005800E+32
40 1.8451579630365800E+33
41 1.6697281121024700E+34
42 1.5146627543880000E+35
43 1.3771895217925000E+36
44 1.2549665986100800E+37
45 1.1460079632541700E+38
46 1.0486229227756000E+39
47 9.6136696712809900E+39
48 8.8300163653812200E+40
49 8.1246160204069400E+41
50 7.4882754689757300E+42
51 6.9130373493801300E+43
52 6.3919938273656700E+44
53 5.9191313218199300E+45
54 5.4892006049005400E+46
55 5.0976077514494700E+47
56 4.7403222846766400E+48
57 4.4137995570213500E+49
58 4.1149149564730600E+50
59 3.8409079698679300E+51
60 3.5893344892185800E+52
61 3.3580260331366600E+53
62 3.1450547869979800E+54
63 2.9487035537172000E+55
64 2.7674398605083100E+56
65 2.5998935926370100E+57
66 2.4448376283248600E+58

独舟星海 · 发表于 2021-8-23 21:01

10^n 二生L10差等于222的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 12 11 1 9.090909090909E-02
4 39 37 2 5.405405405405E-02
5 136 140 -4 -2.857142857143E-02
6 577 602 -25 -4.152823920266E-02
7 2872 2902 -30 -1.033769813921E-02
8 15944 16035 -91 -5.675085749922E-03
9 95842 95776 66 6.891079184764E-04
10 611380
11 4085524
12 28345286
13 202852086
14 1490072560
15 11191987950
16 85696814862
17 6.6729645879000000E+11
18 5.2735151756380000E+12
19 4.2226687278906000E+13
20 3.4211587565135000E+14
21 2.8012053958356900E+15
22 2.3155948027243300E+16
23 1.9308431362629500E+17
24 1.6228151120413800E+18
25 1.3738553062206400E+19
26 1.1708732653388300E+20
27 1.0040425831753600E+21
28 8.6590272739459600E+21
29 7.5072967556476200E+22
30 6.5408884426024600E+23
31 5.7251347118238000E+24
32 5.0327051691204600E+25
33 4.4418839999450500E+26
34 3.9352893544013600E+27
35 3.4989122287658700E+28
36 3.1213886646361000E+29
37 2.7934439854837500E+30
38 2.5074650420935300E+31
39 2.2571685239510000E+32
40 2.0373419482775300E+33
41 1.8436400531292400E+34
42 1.6724237321827000E+35
43 1.5206318589973800E+36
44 1.3856787040757000E+37
45 1.2653713900762300E+38
46 1.1578431284984600E+39
47 1.0614989551328700E+40
48 9.7497141738274100E+40
49 8.9708422604545100E+41
50 8.2682231217183900E+42
51 7.6330705901857000E+43
52 7.0577573402938800E+44
53 6.5356434413133700E+45
54 6.0609329276447200E+46
55 5.6285533899770600E+47
56 5.2340545538078900E+48
57 4.8735225758176000E+49
58 4.5435073973940200E+50
59 4.2409609817944300E+51
60 3.9631846529008200E+52
61 3.7077840693153000E+53
62 3.4726306232541300E+54
63 3.2558282615199500E+55
64 3.0556848953300800E+56
65 2.8706877044934800E+57
66 2.6994817553270100E+58

独舟星海 · 发表于 2021-8-23 21:01

10^n 二生L10差等于228的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 17 11 6 5.454545454545E-01
4 58 52 6 1.153846153846E-01
5 198 195 3 1.538461538462E-02
6 842 839 3 3.575685339690E-03
7 4192 4164 28 6.724303554275E-03
8 23273 23301 -28 -1.201665164585E-03
9 139892 140055 -163 -1.163828495948E-03
10 892375
11 5963264
12 41373010
13 296084559
14 2174922057
15 16335916854
16 1.2508376961900000E+11
17 9.7399135140500000E+11
18 7.6972657428590000E+12
19 6.1634417006678000E+13
20 4.9935512121107100E+14
21 4.0886622326762400E+15
22 3.3798610520153800E+16
23 2.8182743829483600E+17
24 2.3686741675864800E+18
25 2.0052904053579300E+19
26 1.7090161636694200E+20
27 1.4655087398912600E+21
28 1.2638786802041800E+22
29 1.0957711548014500E+23
30 9.5471340956198400E+23
31 8.3564532997175500E+24
32 7.3457774941342800E+25
33 6.4834100989178200E+26
34 5.7439804242535800E+27
35 5.1070408140978800E+28
36 4.5560043421214200E+29
37 4.0773336148514100E+30
38 3.6599164176267700E+31
39 3.2945815791957700E+32
40 2.9737209171997400E+33
41 2.6909920518805500E+34
42 2.4410833139805700E+35
43 2.2195266583912900E+36
44 2.0225479332578000E+37
45 1.8469463969350400E+38
46 1.6899972697086200E+39
47 1.5493725288153200E+40
48 1.4230762292967800E+41
49 1.3093914498431100E+42
50 1.2068365875407400E+43
51 1.1141292062281400E+44
52 1.0301560152480100E+45
53 9.5394784489782600E+45
54 8.8465871131352000E+46
55 8.2154824149678100E+47
56 7.6396686975312000E+48
57 7.1134332832083600E+49
58 6.6317404383222600E+50
59 6.1901412235940000E+51
60 5.7846966293606900E+52
61 5.4119118553980300E+53
62 5.0686799684313300E+54
63 4.7522334737560900E+55
64 4.4601025847903300E+56
65 4.1900791768498500E+57
66 3.9401855776846100E+58

独舟星海 · 发表于 2021-8-23 21:08

仅有的一点资料已经快发完了。要想再发些连贯内容，就得现场加工了（积累下来的内容大部分已经发出了）。今天或许是有网络以来，本帖浏览量最高的一天，已经超出\(23^2\)=529了。(现在时刻是51529（起步是50990），有10个垫底的）。

白新岭 · 发表于 2021-8-23 21:12

要想达到下一个数平方的浏览量，需要增加\(6^2+1^2\),（现在的起点为：\(23^2+10\)）。继续努力，再接再励，争取创造奇迹。

白新岭 · 发表于 2021-8-23 21:14

10^n 二生L10差等于234的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 18 16 2 1.250000000000E-01
4 58 47 11 2.340425531915E-01
5 200 172 28 1.627906976744E-01
6 850 828 22 2.657004830918E-02
7 4231 4177 54 1.292793871199E-02
8 23491 23348 143 6.124721603563E-03
9 141201 141008 193 1.368716668558E-03
10 900724
11 6019057
12 41760099
13 298854749
14 2195270793
15 16488756936
16 1.2625406288600000E+11
17 9.8310408860400000E+11
18 7.7692819468710000E+12
19 6.2211073302250000E+13
20 5.0402712572344400E+14
21 4.1269160676510400E+15
22 3.4114832892078500E+16
23 2.8446423725312200E+17
24 2.3908356633421800E+18
25 2.0240520549826100E+19
26 1.7250058489439400E+20
27 1.4792201511792600E+21
28 1.2757036253107500E+22
29 1.1060232731082500E+23
30 9.6364578087056000E+23
31 8.4346369126722500E+24
32 7.4145051473447900E+25
33 6.5440693771570100E+26
34 5.7977215421898700E+27
35 5.1548226765737700E+28
36 4.5986306654344900E+29
37 4.1154814584157900E+30
38 3.6941588741306500E+31
39 3.3254059351512100E+32
40 3.0015432763857300E+33
41 2.7161691782884200E+34
42 2.4639222752198900E+35
43 2.2402927187016100E+36
44 2.0414710456267200E+37
45 1.8642265679677600E+38
46 1.7058090127639900E+39
47 1.5638685760940900E+40
48 1.4363906387867600E+41
49 1.3216422158857100E+42
50 1.2181278424877400E+43
51 1.1245530838610400E+44
52 1.0397942333161700E+45
53 9.6287305352514900E+45
54 8.9293564553448700E+46
55 8.2923470935976400E+47
56 7.7111460192042800E+48
57 7.1799871063012600E+49
58 6.6937875065040900E+50
59 6.2480566559194300E+51
60 5.8388186912102600E+52
61 5.4625461145354200E+53
62 5.1161029239161000E+54
63 4.7966957317567500E+55
64 4.5018316439641900E+56
65 4.2292818764716400E+57
66 3.9770502537770200E+58

白新岭 · 发表于 2021-8-23 21:14

10^n 二生L10差等于240的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 15 11 4 3.636363636364E-01
4 49 45 4 8.888888888889E-02
5 169 162 7 4.320987654321E-02
6 719 695 24 3.453237410072E-02
7 3581 3594 -13 -3.617139677240E-03
8 19882 20011 -129 -6.446454450052E-03
9 119512 119139 373 3.130796800376E-03
10 762368
11 5094500
12 35345538
13 252949160
14 1858066189
15 13956001168
16 1.0686080557700000E+11
17 8.3209436966500000E+11
18 6.5758812716460000E+12
19 5.2655140412563000E+13
20 4.2660603117658200E+14
21 3.4930010603943000E+15
22 2.8874623450975500E+16
23 2.4076910363116900E+17
24 2.0235913138005900E+18
25 1.7131475073520500E+19
26 1.4600362984791900E+20
27 1.2520045166721000E+21
28 1.0797491499495400E+22
29 9.3613255090666700E+22
30 8.1562495559577200E+23
31 7.1390343774968900E+24
32 6.2755999679720800E+25
33 5.5388674979071900E+26
34 4.9071624338284200E+27
35 4.3630160585420600E+28
36 3.8922579299915800E+29
37 3.4833228644898600E+30
38 3.1267175423676400E+31
39 2.8146069043599600E+32
40 2.5404911743703600E+33
41 2.2989519690842400E+34
42 2.0854514555152700E+35
43 1.8961725205311400E+36
44 1.7278908536652500E+37
45 1.5778720167752200E+38
46 1.4437881926215600E+39
47 1.3236505189511100E+40
48 1.2157538322019600E+41
49 1.1186313425991900E+42
50 1.0310172961495000E+43
51 9.5181608978833900E+43
52 8.8007662380992600E+44
53 8.1497092304636400E+45
54 7.5577625170630600E+46
55 7.0186009883114800E+47
56 6.5266753140600500E+48
57 6.0771050742988700E+49
58 5.6655881716492300E+50
59 5.2883238153550000E+51
60 4.9419468546293700E+52
61 4.6234716329923600E+53
62 4.3302438540982600E+54
63 4.0598992086969400E+55
64 3.8103277237314400E+56
65 3.5796429675465300E+57
66 3.3661553872093900E+58

白新岭 · 发表于 2021-8-23 21:15

SELECT 1
USE D:\VFP温习\L10二生素数表.DBF ALIAS 二生素数表
SELECT 2
USE D:\VFP温习\L10二生素数四.DBF ALIAS 二生素数四
SELECT 3
USE D:\vfp温习\L10四生素数统计表.DBF ALIAS 四生统计
kssj=SECONDS()
FOR m=51 TO 60
@ 15,22 say m
SELECT 2
DELETE ALL
PACK
SELECT  1
GO 1
For i=1 TO  4570073-m
   @ 5,12 say i
SELECT  1    &&打开盛放素数式的表
jl=recno()
PUBLIC A
A=二生10中
count next m+1 for 6*m=二生10中-A to js1
      IF js1=1
      SELECT 2
      APPEND BLANK    &&增加一条空记录
      REPLACE 二10四 WITH A+3*m &&将N值付给素数式
      else
   ENDIF
   SELECT 1
   GO jl+1
   ENDFOR

   SELECT 2
   For j=1 to 9
   @ 3,6 say j
   fw=10^j
         SELECT 2
         GO 1
         COUNT ALL FOR fw>二10四 TO tj
            SELECT  3  &&打开盛放素数式的表
            APPEND BLANK    &&增加一条空记录
            REPLACE 范围 WITH fw
            REPLACE 跨度 WITH 6*m
            REPLACE 统计 WITH tj
            REPLACE k生 WITH 4
ENDFOR
endfor
=MESSAGEBOX("运行时间："+LTRIM(STR(INT((SECONDS()-kssj)/60)))+"分"+LTRIM(STR(MOD(SECONDS()-kssj,60),5,2))+"秒",64,"运行时间提示")

独木星空谁 · 发表于 2021-8-23 21:21

2对(2生d10) 范围跨度6n 统计
4 10 246 0
4 100 246 0
4 1000 246 9
4 10000 246 32
4 100000 246 124
4 1000000 246 551
4 10000000 246 2703
4 100000000 246 15084
4 1000000000 246 91522
4 10 252 0
4 100 252 0
4 1000 252 13
4 10000 252 59
4 100000 252 212
4 1000000 252 966
4 10000000 252 4789
4 100000000 252 26984
4 1000000000 252 163465
4 10 258 0
4 100 258 0
4 1000 258 11
4 10000 258 38
4 100000 258 129
4 1000000 258 568
4 10000000 258 2794
4 100000000 258 15643
4 1000000000 258 93906
4 10 264 0
4 100 264 0
4 1000 264 12
4 10000 264 35
4 100000 264 139
4 1000000 264 655
4 10000000 264 3288
4 100000000 264 18424
4 1000000000 264 111437
4 10 270 0
4 100 270 0
4 1000 270 14
4 10000 270 58
4 100000 270 238
4 1000000 270 1028
4 10000000 270 5044
4 100000000 270 27981
4 1000000000 270 168121
4 10 276 0
4 100 276 0
4 1000 276 18
4 10000 276 56
4 100000 276 231
4 1000000 276 1031
4 10000000 276 5082
4 100000000 276 28074
4 1000000000 276 169986
4 10 282 0
4 100 282 0
4 1000 282 8
4 10000 282 29
4 100000 282 129
4 1000000 282 581
4 10000000 282 2915
4 100000000 282 16158
4 1000000000 282 97370
4 10 288 0
4 100 288 0
4 1000 288 7
4 10000 288 30
4 100000 288 110
4 1000000 288 523
4 10000000 288 2620
4 100000000 288 14264
4 1000000000 288 86188
4 10 294 0
4 100 294 0
4 1000 294 14
4 10000 294 56
4 100000 294 196
4 1000000 294 920
4 10000000 294 4572
4 100000000 294 25561
4 1000000000 294 153543
4 10 300 0
4 100 300 0
4 1000 300 14
4 10000 300 42
4 100000 300 160
4 1000000 300 698
4 10000000 300 3630
4 100000000 300 20050
4 1000000000 300 122343
4 10 306 0
4 100 306 0
4 1000 306 12
4 10000 306 36
4 100000 306 128
4 1000000 306 630
4 10000000 306 3107
4 100000000 306 17009
4 1000000000 306 102633
4 10 312 0
4 100 312 0
4 1000 312 10
4 10000 312 54
4 100000 312 206
4 1000000 312 866
4 10000000 312 4370
4 100000000 312 24128
4 1000000000 312 146832
4 10 318 0
4 100 318 0
4 1000 318 11
4 10000 318 46
4 100000 318 197
4 1000000 318 840
4 10000000 318 4138
4 100000000 318 22963
4 1000000000 318 138872
4 10 324 0
4 100 324 0
4 1000 324 9
4 10000 324 29
4 100000 324 116
4 1000000 324 524
4 10000000 324 2608
4 100000000 324 14415
4 1000000000 324 86121
4 10 330 0
4 100 330 0
4 1000 330 14
4 10000 330 54
4 100000 330 203
4 1000000 330 956
4 10000000 330 4717
4 100000000 330 25943
4 1000000000 330 156348
4 10 336 0
4 100 336 0
4 1000 336 15
4 10000 336 60
4 100000 336 219
4 1000000 336 883
4 10000000 336 4237
4 100000000 336 23583
4 1000000000 336 143199
4 10 342 0
4 100 342 0
4 1000 342 12
4 10000 342 38
4 100000 342 137
4 1000000 342 648
4 10000000 342 3304
4 100000000 342 18461
4 1000000000 342 111711
4 10 348 0
4 100 348 0
4 1000 348 8
4 10000 348 33
4 100000 348 123
4 1000000 348 623
4 10000000 348 3108
4 100000000 348 17020
4 1000000000 348 102864
4 10 354 0
4 100 354 0
4 1000 354 10
4 10000 354 40
4 100000 354 182
4 1000000 354 785
4 10000000 354 4006
4 100000000 354 22314
4 1000000000 354 134156
4 10 360 0
4 100 360 0
4 1000 360 16
4 10000 360 59
4 100000 360 204
4 1000000 360 927
4 10000000 360 4659
4 100000000 360 25828
4 1000000000 360 155558

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