[原创]k生素数群的数量公式

白新岭 · 发表于 2021-8-19 09:23

10^n 二生L22差等于96的数量实际数量理论-实际误差/实际
2 1 1 0 0.000000000000E+00
3 4 4 0 0.000000000000E+00
4 15 16 -1 -6.250000000000E-02
5 54 50 4 8.000000000000E-02
6 230 232 -2 -8.620689655172E-03
7 1147 1136 11 9.683098591549E-03
8 6369 6406 -37 -5.775835154543E-03
9 38283 38634 -351 -9.085261686597E-03
10 244210
11 1631924
12 11322256
13 81027351
14 595195417
15 4470533928
16 34230783671
17 2.6654527081100000E+11
18 2.1064558519750000E+12
19 1.6867051590007000E+13
20 1.3665495676367200E+14
21 1.1189150504205200E+15
22 9.2494248343786000E+15
23 7.7125706254083600E+16
24 6.4821817622240500E+17
25 5.4877353210715200E+18
26 4.6769427214093900E+19
27 4.0105533112570900E+20
28 3.4587666985160400E+21
29 2.9987188159621800E+22
30 2.6126961387514200E+23
31 2.2868510121634700E+24
32 2.0102665682528700E+25
33 1.7742686299081200E+26
34 1.5719141812825600E+27
35 1.3976074580916600E+28
36 1.2468092344336700E+29
37 1.1158148283274900E+30
38 1.0015832391914800E+31
39 9.0160465795861100E+31
40 8.1379700759169700E+32
41 7.3642461422896800E+33
42 6.6803387120472600E+34
43 6.0740204046105000E+35
44 5.5349627676086700E+36
45 5.0544065595212800E+37
46 4.6248950699183300E+38
47 4.2400573648384300E+39
48 3.8944312839791700E+40
49 3.5833182511689600E+41
50 3.3026636693185600E+42
51 3.0489579867930600E+43
52 2.8191545404027000E+44
53 2.6106010725022400E+45
54 2.4209824393501200E+46
55 2.2482725149335000E+47
56 2.0906936791154300E+48
57 1.9466825841307800E+49
58 1.8148611366373900E+50
59 1.6940118271335500E+51
60 1.5830566949209500E+52
61 1.4810393429321000E+53
62 1.3871095188830500E+54
63 1.3005098622239100E+55
64 1.2205644840647200E+56
65 1.1466691026620100E+57
66 1.0782825025474000E+58

白新岭 · 发表于 2021-8-19 09:23

10^n 二生L22差等于102的数量实际数量理论-实际误差/实际
2 2 1 1 1.000000000000E+00
3 11 8 3 3.750000000000E-01
4 36 28 8 2.857142857143E-01
5 124 125 -1 -8.000000000000E-03
6 526 549 -23 -4.189435336976E-02
7 2617 2604 13 4.992319508449E-03
8 14529 14622 -93 -6.360279031596E-03
9 87336 87205 131 1.502207442234E-03
10 557115 正负相间
11 3722903
12 25829432
13 184847463
14 1357817599
15 10198616238
16 78090588691
17 6.0806896244700000E+11
18 4.8054516985110000E+12
19 3.8478756455334000E+13
20 3.1175056124442600E+14
21 2.5525776979804500E+15
22 2.1100686368020600E+16
23 1.7594665265354700E+17
24 1.4787782677773600E+18
25 1.2519154861418800E+19
26 1.0669496027348000E+20
27 9.1492637756807600E+20
28 7.8904745573235400E+21
29 6.8409686412410300E+22
30 5.9603362139691000E+23
31 5.2169866604784900E+24
32 4.5860153612103600E+25
33 4.0476339407783300E+26
34 3.5860033170284600E+27
35 3.1883578889345800E+28
36 2.8443423334553800E+29
37 2.5455051702041300E+30
38 2.2849089732686600E+31
39 2.0568281224168900E+32
40 1.8565127812706500E+33
41 1.6800033620231000E+34
42 1.5239837559534700E+35
43 1.3856645342343000E+36
44 1.2626894699861400E+37
45 1.1530603199511200E+38
46 1.0550759869157600E+39
47 9.6728307154119500E+39
48 8.8843549276297200E+40
49 8.1746136574555900E+41
50 7.5343571641694300E+42
51 6.9555791176840100E+43
52 6.4313291739956100E+44
53 5.9555567453388200E+45
54 5.5229803009306900E+46
55 5.1289776453045400E+47
56 4.7694934987361900E+48
57 4.4409614004491700E+49
58 4.1402375100513600E+50
59 3.8645443266055800E+51
60 3.6114227014599200E+52
61 3.3786908087251900E+53
62 3.1644089703025800E+54
63 2.9668494217400700E+55
64 2.7844702596499000E+56
65 2.6158929378224600E+57
66 2.4598827829607100E+58

白新岭 · 发表于 2021-8-19 10:53

二生素数(P,P+26)的系数 1.4403530527568000
上边系数的平方值 2.0746169165858500
二生素数L26的四生素数系数 5.0736654999095600
二生L26差6的四生素数系数 10.1473309998191000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 6%5≡26 一样一
二生L26差12的四生素数系数 7.2158798220936000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 12%7≡26 12%19≡-26
二生L26差18的四生素数系数 5.7984748570395000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 18%11≡-26
二生L26差24的四生素数系数 10.1473309998191000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 24%5≡-26 一样一
二生L26差30的四生素数系数 20.2946619996382000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 30%5≡0 30%7≡-26
二生L26差36的四生素数系数 10.5231580738865000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 36%5≡26 36%31≡-26
二生L26差42的四生素数系数 9.1065791024017700 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 42%7≡0 42%17≡-26
二生L26差48的四生素数系数 5.9741862163437200 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 48%11≡26 48%37≡-26
二生L26差54的四生素数系数 13.5297746664255000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 54%5≡-26 54%7≡26
二生L26差60的四生素数系数 16.8121460352033000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 60%5≡0 60%17≡26 60%43≡-26
二生L26差66的四生素数系数 13.7332299245672000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 66%5≡26 66%11≡0 66%23≡-26
二生L26差72的四生素数系数 7.1209340349607900 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 72%7≡-26 72%23≡26
二生L26差78的四生素数系数 5.5349078180831600 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 78%13≡0
二生L26差84的四生素数系数 20.1013795044036000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 84%5≡-26 84%7≡0 84%11≡-26 84%29≡26
二生L26差90的四生素数系数 15.8298363597178000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 90%5≡0 90%29≡-26
二生L26差96的四生素数系数 13.7671391342575000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 96%5≡26 96%7≡26 96%61≡-26
二生L26差102的四生素数系数 6.2445113845040700 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 102%17≡0 102%19≡26

白新岭 · 发表于 2021-8-19 10:55

10^n 二生L26差等于6的数量实际数量理论-实际误差/实际
2 2 4 -2 -5.000000000000E-01
3 8 9 -1 -1.111111111111E-01
4 28 29 -1 -3.448275862069E-02
5 98 103 -5 -4.854368932039E-02
6 417 432 -15 -3.472222222222E-02
7 2079 2110 -31 -1.469194312796E-02
8 11543 11577 -34 -2.936857562408E-03
9 69383 69414 -31 -4.465957875933E-04
10 442597 误差较小
11 2957640
12 20520048
13 146851040
14 1078710648
15 8102234011
16 62038634349
17 4.8307700905500000E+11
18 3.8176644049280000E+12
19 3.0569234295071000E+13
20 2.4766850143307200E+14
21 2.0278811711733600E+15
22 1.6763323059038600E+16
23 1.3977984071920600E+17
24 1.1748071794009000E+18
25 9.9457730287938400E+18
26 8.4763218439486600E+19
27 7.2685817773463800E+20
28 6.2685436760959300E+21
29 5.4347695316526000E+22
30 4.7351559922087900E+23
31 4.1446060691579100E+24
32 3.6433344258504600E+25
33 3.2156202973961200E+26
34 2.8488804129726100E+27
35 2.5329732117647000E+28
36 2.2596719649117800E+29
37 2.0222624407732800E+30
38 1.8152332398745400E+31
39 1.6340356750312000E+32
40 1.4748962651205700E+33
41 1.3346693376072400E+34
42 1.2107204283408100E+35
43 1.1008334910861300E+36
44 1.0031366344889900E+37
45 9.1604236529450200E+37
46 8.3819925627196300E+38
47 7.6845266239106000E+39
48 7.0581264147280500E+40
49 6.4942764056452800E+41
50 5.9856281915346000E+42
51 5.5258211879378500E+43
52 5.1093337326742900E+44
53 4.7313589699080600E+45
54 4.3877010168505000E+46
55 4.0746877959919400E+47
56 3.7890976128848600E+48
57 3.5280971125790700E+49
58 3.2891886885408000E+50
59 3.0701657705811000E+51
60 2.8690747017153800E+52
61 2.6841821424872300E+53
62 2.5139471264070500E+54
63 2.3569970406046100E+55
64 2.2121069284996400E+56
65 2.0781816117145100E+57
66 1.9542402109076700E+58

白新岭 · 发表于 2021-8-19 10:55

10^n 二生L26差等于12的数量实际数量理论-实际误差/实际
2 1 3 -2 -6.666666666667E-01
3 6 5 1 2.000000000000E-01
4 20 23 -3 -1.304347826087E-01
5 70 82 -12 -1.463414634146E-01
6 297 328 -31 -9.451219512195E-02
7 1478 1491 -13 -8.718980549966E-03
8 8208 8228 -20 -2.430724355858E-03
9 49339 49379 -40 -8.100609570870E-04
10 314735
11 2103210
12 14592034
13 104427406
14 767083127
15 5761588630
16 44116362203
17 3.4352142866100000E+11
18 2.7147835768370000E+12
19 2.1738122165384000E+13
20 1.7611982324129500E+14
21 1.4420488328343900E+15
22 1.1920585286427400E+16
23 9.9398997844769000E+16
24 8.3541843868508400E+17
25 7.0725497093645100E+18
26 6.0276066445857100E+19
27 5.1687692638907600E+20
28 4.4576310585571000E+21
29 3.8647250002862900E+22
30 3.3672220389040300E+23
31 2.9472754269567400E+24
32 2.5908155917158800E+25
33 2.2866633225927900E+26
34 2.0258705158916300E+27
35 1.8012253950326700E+28
36 1.6068778417150400E+29
37 1.4380532912165500E+30
38 1.2908325261330100E+31
39 1.1619809244666300E+32
40 1.0488151218635200E+33
41 9.4909819563181500E+33
42 8.6095674904235400E+34
43 7.8281492699458500E+35
44 7.1334160674772700E+36
45 6.5140790420942400E+37
46 5.9605280446006200E+38
47 5.4645522658919800E+39
48 5.0191121171399500E+40
49 4.6181521106810900E+41
50 4.2564467139801600E+42
51 3.9294728447558100E+43
52 3.6333039876795000E+44
53 3.3645219341568400E+45
54 3.1201429453159100E+46
55 2.8975557660387200E+47
56 2.6944694136070100E+48
57 2.5088690578340000E+49
58 2.3389786229623500E+50
59 2.1832289924132300E+51
60 2.0402308989976100E+52
61 1.9087517457687000E+53
62 1.7876957343339000E+54
63 1.6760867844299500E+55
64 1.5730538158219700E+56
65 1.4778180349969900E+57
66 1.3896819277565700E+58

白新岭 · 发表于 2021-8-19 10:55

10^n 二生L26差等于18的数量实际数量理论-实际误差/实际
2 1 1 0 0.000000000000E+00
3 5 5 0 0.000000000000E+00
4 16 17 -1 -5.882352941176E-02
5 56 53 3 5.660377358491E-02
6 238 234 4 1.709401709402E-02
7 1188 1170 18 1.538461538462E-02
8 6596 6523 73 1.119116970719E-02
9 39647 39353 294 7.470840850761E-03
10 252912
11 1690080
12 11725742
13 83914880
14 616406084
15 4629848006
16 35450648199
17 2.7604400517400000E+11
18 2.1815225171010000E+12
19 1.7468133882897000E+13
20 1.4152485796175500E+14
21 1.1587892406704900E+15
22 9.5790417480220300E+15
23 7.9874194696689400E+16
24 6.7131838822908600E+17
25 5.6832988735964800E+18
26 4.8436124822563800E+19
27 4.1534753013407900E+20
28 3.5820249577691000E+21
29 3.1055825895157700E+22
30 2.7058034241193100E+23
31 2.3683463252330900E+24
32 2.0819053862002600E+25
33 1.8374973127977800E+26
34 1.6279316645557800E+27
35 1.4474132638655400E+28
36 1.2912411228067300E+29
37 1.1555785375847300E+30
38 1.0372761370711700E+31
39 9.3373467144639800E+31
40 8.4279786578318400E+32
41 7.6266819291842300E+33
42 6.9184024476617700E+34
43 6.2904770919207700E+35
44 5.7322093399370900E+36
45 5.2345278016828700E+37
46 4.7897100358397900E+38
47 4.3911580708060600E+39
48 4.0332150941303200E+40
49 3.7110150889401600E+41
50 3.4203589665912000E+42
51 3.1576121073930600E+43
52 2.9196192758138800E+44
53 2.7036336970903200E+45
54 2.5072577239145700E+46
55 2.3283930262811100E+47
56 2.1651986359342100E+48
57 2.0160554929023200E+49
58 1.8795363934518900E+50
59 1.7543804403320600E+51
60 1.6394712581230800E+52
61 1.5338183671355600E+53
62 1.4365412150897400E+54
63 1.3468554517740600E+55
64 1.2640611019998000E+56
65 1.1875323495511500E+57
66 1.1167086919472400E+58

白新岭 · 发表于 2021-8-19 10:56

10^n 二生L26差等于24的数量实际数量理论-实际误差/实际
2 2 2 0 0.000000000000E+00
3 8 7 1 1.428571428571E-01
4 28 31 -3 -9.677419354839E-02
5 98 116 -18 -1.551724137931E-01
6 417 406 11 2.709359605911E-02
7 2079 2069 10 4.833252779120E-03
8 11543 11469 74 6.452175429418E-03
9 69383 69298 85 1.226586625877E-03
10 442597 两位数
11 2957640 以内
12 20520048
13 146851040
14 1078710648
15 8102234011
16 62038634349
17 4.8307700905500000E+11
18 3.8176644049280000E+12
19 3.0569234295071000E+13
20 2.4766850143307200E+14
21 2.0278811711733600E+15
22 1.6763323059038600E+16
23 1.3977984071920600E+17
24 1.1748071794009000E+18
25 9.9457730287938400E+18
26 8.4763218439486600E+19
27 7.2685817773463800E+20
28 6.2685436760959300E+21
29 5.4347695316526000E+22
30 4.7351559922087900E+23
31 4.1446060691579100E+24
32 3.6433344258504600E+25
33 3.2156202973961200E+26
34 2.8488804129726100E+27
35 2.5329732117647000E+28
36 2.2596719649117800E+29
37 2.0222624407732800E+30
38 1.8152332398745400E+31
39 1.6340356750312000E+32
40 1.4748962651205700E+33
41 1.3346693376072400E+34
42 1.2107204283408100E+35
43 1.1008334910861300E+36
44 1.0031366344889900E+37
45 9.1604236529450200E+37
46 8.3819925627196300E+38
47 7.6845266239106000E+39
48 7.0581264147280500E+40
49 6.4942764056452800E+41
50 5.9856281915346000E+42
51 5.5258211879378500E+43
52 5.1093337326742900E+44
53 4.7313589699080600E+45
54 4.3877010168505000E+46
55 4.0746877959919400E+47
56 3.7890976128848600E+48
57 3.5280971125790700E+49
58 3.2891886885408000E+50
59 3.0701657705811000E+51
60 2.8690747017153800E+52
61 2.6841821424872300E+53
62 2.5139471264070500E+54
63 2.3569970406046100E+55
64 2.2121069284996400E+56
65 2.0781816117145100E+57
66 1.9542402109076700E+58

白新岭 · 发表于 2021-8-19 10:56

10^n 二生L26差等于30的数量实际数量理论-实际误差/实际
2 4 5 -1 -2.000000000000E-01
3 17 20 -3 -1.500000000000E-01
4 57 62 -5 -8.064516129032E-02
5 197 197 0 0.000000000000E+00
6 835 809 26 3.213844252163E-02
7 4158 4179 -21 -5.025125628141E-03
8 23086 22988 98 4.263093788063E-03
9 138767 138554 213 1.537306754045E-03
10 885194
11 5915280
12 41040097
13 293702081
14 2157421297
15 16204468023
16 1.2407726869800000E+11
17 9.6615401811100000E+11
18 7.6353288098560000E+12
19 6.1138468590142000E+13
20 4.9533700286614300E+14
21 4.0557623423467100E+15
22 3.3526646118077100E+16
23 2.7955968143841300E+17
24 2.3496143588018000E+18
25 1.9891546057587700E+19
26 1.6952643687897300E+20
27 1.4537163554692800E+21
28 1.2537087352191900E+22
29 1.0869539063305200E+23
30 9.4703119844175800E+23
31 8.2892121383158300E+24
32 7.2866688517009100E+25
33 6.4312405947922300E+26
34 5.6977608259452200E+27
35 5.0659464235294000E+28
36 4.5193439298235600E+29
37 4.0445248815465600E+30
38 3.6304664797490900E+31
39 3.2680713500623900E+32
40 2.9497925302411500E+33
41 2.6693386752144800E+34
42 2.4214408566816200E+35
43 2.2016669821722700E+36
44 2.0062732689779800E+37
45 1.8320847305890000E+38
46 1.6763985125439300E+39
47 1.5369053247821200E+40
48 1.4116252829456100E+41
49 1.2988552811290600E+42
50 1.1971256383069200E+43
51 1.1051642375875700E+44
52 1.0218667465348600E+45
53 9.4627179398161200E+45
54 8.7754020337009900E+46
55 8.1493755919838900E+47
56 7.5781952257697200E+48
57 7.0561942251581300E+49
58 6.5783773770816000E+50
59 6.1403315411622000E+51
60 5.7381494034307700E+52
61 5.3683642849744700E+53
62 5.0278942528141000E+54
63 4.7139940812092200E+55
64 4.4242138569992900E+56
65 4.1563632234290300E+57
66 3.9084804218153500E+58

白新岭 · 发表于 2021-8-19 10:57

10^n 二生L26差等于36的数量实际数量理论-实际误差/实际
2 2 4 -2 -5.000000000000E-01
3 9 11 -2 -1.818181818182E-01
4 29 38 -9 -2.368421052632E-01
5 102 114 -12 -1.052631578947E-01
6 433 431 2 4.640371229698E-03
7 2156 2208 -52 -2.355072463768E-02
8 11970 11930 40 3.352891869237E-03
9 71953 71742 211 2.941094477433E-03
10 458989 如果偏离实际较大，
11 3067182 说明系数没有考虑周全
12 21280050 实践是检验真理的
13 152289968 唯一标准。
14 1118662894 20210815日22:29分结束
15 8402316752
16 64336361547
17 5.0096875013100000E+11
18 3.9590593828880000E+12
19 3.1701428157851000E+13
20 2.5684140889355600E+14
21 2.1029878812168100E+15
22 1.7384186876040000E+16
23 1.4495687185695500E+17
24 1.2183185564157500E+18
25 1.0314134992823200E+19
26 8.7902596900208300E+19
27 7.5377885098406900E+20
28 6.5007119603957800E+21
29 5.6360572920841700E+22
30 4.9105321400683700E+23
31 4.2981099976452500E+24
32 3.7782727379189900E+25
33 3.3347173454478300E+26
34 2.9543945023419700E+27
35 2.6267870344226500E+28
36 2.3433635191677700E+29
37 2.0971610496908100E+30
38 1.8824641006106400E+31
39 1.6945555148471700E+32
40 1.5295220527176300E+33
41 1.3841015352964000E+34
42 1.2555619256867700E+35
43 1.1416051018671000E+36
44 1.0402898431737700E+37
45 9.4996986030541000E+37
46 8.6924367317092400E+38
47 7.9691387210924800E+39
48 7.3195385041624300E+40
49 6.7348051614099200E+41
50 6.2073181245544000E+42
51 5.7304812319355500E+43
52 5.2985683153659300E+44
53 4.9065944873120600E+45
54 4.5502084619190300E+46
55 4.2256021588064600E+47
56 3.9294345615102300E+48
57 3.6587673760079200E+49
58 3.4110104918200900E+50
59 3.1838756139359600E+51
60 2.9753367277048400E+52
61 2.7835962959126900E+53
62 2.6070562792369400E+54
63 2.4442932272936700E+55
64 2.2940368147403700E+56
65 2.1551513010372700E+57
66 2.0266194779783300E+58

白新岭 · 发表于 2021-8-19 10:57

10^n 二生L26差等于42的数量实际数量理论-实际误差/实际
2 2 3 -1 -3.333333333333E-01
3 7 8 -1 -1.250000000000E-01
4 25 27 -2 -7.407407407407E-02
5 88 80 8 1.000000000000E-01
6 375 364 11 3.021978021978E-02
7 1865 1895 -30 -1.583113456464E-02
8 10359 10398 -39 -3.750721292556E-03
9 62267 62302 -35 -5.617797181471E-04
10 397202 不敢相信，9次达到4次
11 2654292 量级精度
12 18415428
13 131789395
14 968073659
15 7271235651
16 55675697492
17 4.3353064915200000E+11
18 3.4261090813450000E+12
19 2.7433928213525000E+13
20 2.2226660385019200E+14
21 1.8198933587453200E+15
22 1.5044007873496100E+16
23 1.2544344679928800E+17
24 1.0543141353597800E+18
25 8.9256937437893400E+18
26 7.6069555009795700E+19
27 6.5230862104390600E+20
28 5.6256161195732700E+21
29 4.8773572719959200E+22
30 4.2494989673668600E+23
31 3.7195182671930000E+24
32 3.2696591001222000E+25
33 2.8858130874067700E+26
34 2.5566875501036200E+27
35 2.2731810874811400E+28
36 2.0279107377413400E+29
37 1.8148509083862800E+30
38 1.6290554716822800E+31
39 1.4664422724638900E+32
40 1.3236248533133300E+33
41 1.1977801747757300E+34
42 1.0865439741520100E+35
43 9.8792749200037700E+35
44 9.0025082582345300E+36
45 8.2208930218737400E+37
46 7.5223010178253100E+38
47 6.8963700470992600E+39
48 6.3342160132174800E+40
49 5.8281967742970400E+41
50 5.3717176077874600E+42
51 4.9590702968673000E+43
52 4.5852995036820500E+44
53 4.2460913832508200E+45
54 3.9376803997376200E+46
55 3.6567710989671300E+47
56 3.4004722166915400E+48
57 3.1662409984683900E+49
58 2.9518360025366200E+50
59 2.7552769735984200E+51
60 2.5748106297445800E+52
61 2.4088814099244400E+53
62 2.2561063954935100E+54
63 2.1152537543887500E+55
64 1.9852241666022400E+56
65 1.8650347797437900E+57
66 1.7538053174812400E+58

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