[原创]k生素数群的数量公式

独舟星海 · 发表于 2021-8-19 08:50

10^n 二生L14差等于90的数量实际数量理论-实际误差/实际
2 5 2 3 1.500000000000E+00
3 21 20 1 5.000000000000E-02
4 69 63 6 9.523809523810E-02
5 238 227 11 4.845814977974E-02
6 1013 1004 9 8.964143426295E-03
7 5040 4963 77 1.551480959097E-02
8 27983 27905 78 2.795197993191E-03
9 168202 168253 -51 -3.031149518879E-04
10 1072963
11 7170037
12 49745573
13 356002522
14 2615056118
15 19641779422
16 1.5039668933100000E+11
17 1.1710957795290000E+12
18 9.2549440119470000E+12
19 7.4107234654718000E+13
20 6.0040848832259800E+14
21 4.9160755664808700E+15
22 4.0638358931002600E+16
23 3.3886021992534900E+17
24 2.8480174046082400E+18
25 2.4110964918288100E+19
26 2.0548659015633100E+20
27 1.7620804308718500E+21
28 1.5196469517808300E+22
29 1.3175198864612400E+23
30 1.1479166041718300E+24
31 1.0047529864625300E+25
32 8.8323258808495900E+25
33 7.7954431452027100E+26
34 6.9063767587214800E+27
35 6.1405411194295700E+28
36 5.4779926422103700E+29
37 4.9024544018746200E+30
38 4.4005654299989000E+31
39 3.9612986061362400E+32
40 3.5755060972620000E+33
41 3.2355620305630100E+34
42 2.9350798262807500E+35
43 2.6686872511179000E+36
44 2.4318463866399800E+37
45 2.2207087643503100E+38
46 2.0319981970229400E+39
47 1.8629155451904500E+40
48 1.7110609490249800E+41
49 1.5743700377321900E+42
50 1.4510613797659600E+43
51 1.3395930152576600E+44
52 1.2386263594361900E+45
53 1.1469961139171100E+46
54 1.0636850949940600E+47
55 9.8780310205865400E+47
56 9.1856911827511800E+48
57 8.5529626971613800E+49
58 7.9737907600989200E+50
59 7.4428261104996400E+51
60 6.9553326102191200E+52
61 6.5071082242114800E+53
62 6.0944172761383000E+54
63 5.7139322196475500E+55
64 5.3626834630294400E+56
65 5.0380160283988200E+57
66 4.7375520264428500E+58

独舟星海 · 发表于 2021-8-19 08:50

10^n 二生L14差等于96的数量实际数量理论-实际误差/实际
2 3 1 2 2.000000000000E+00
3 14 12 2 1.666666666667E-01
4 46 39 7 1.794871794872E-01
5 157 164 -7 -4.268292682927E-02
6 668 680 -12 -1.764705882353E-02
7 3327 3306 21 6.352087114338E-03
8 18475 18591 -116 -6.239578290571E-03
9 111052 111385 -333 -2.989630560668E-03
10 708404
11 4733885
12 32843602
13 235044136
14 1726542842
15 12968124637
16 99296655890
17 7.7319451080800000E+11
18 6.1104070503580000E+12
19 4.8927942571262000E+13
20 3.9640869306241000E+14
21 3.2457487330819600E+15
22 2.6830731186106000E+16
23 2.2372624558777900E+17
24 1.8803512594131600E+18
25 1.5918822397788700E+19
26 1.3566875257425700E+20
27 1.1633812883362400E+21
28 1.0033190299402400E+22
29 8.6986834202653000E+22
30 7.5789088537985600E+23
31 6.6336973237487200E+24
32 5.8313811800203900E+25
33 5.1467983699987000E+26
34 4.5598085935960400E+27
35 4.0541796580017700E+28
36 3.6167441769033700E+29
37 3.2367556089596900E+30
38 2.9053926198062200E+31
39 2.6153747554026900E+32
40 2.3606623267637100E+33
41 2.1362204912211400E+34
42 1.9378326266177900E+35
43 1.7619518144446400E+36
44 1.6055819772796800E+37
45 1.4661822343780000E+38
46 1.3415895432082000E+39
47 1.2299558232724600E+40
48 1.1296966111323200E+41
49 1.0394489438309000E+42
50 9.5803666386092600E+42
51 8.8444172049830200E+43
52 8.1778033769725400E+44
53 7.5728314857075400E+45
54 7.0227857623160000E+46
55 6.5217888205416900E+47
56 6.0646841399631400E+48
57 5.6469367614463100E+49
58 5.2645491118799800E+50
59 4.9139894397507300E+51
60 4.5921307967083700E+52
61 4.2961988661782300E+53
62 4.0237272363693000E+54
63 3.7725189558290800E+55
64 3.5406134060928000E+56
65 3.3262576867034700E+57
66 3.1278818398522300E+58

独舟星海 · 发表于 2021-8-19 08:50

10^n 二生L14差等于102的数量实际数量理论-实际误差/实际
2 2 0 2
3 8 6 2 3.333333333333E-01
4 26 23 3 1.304347826087E-01
5 92 102 -10 -9.803921568627E-02
6 390 378 12 3.174603174603E-02
7 1944 1879 65 3.459286854710E-02
8 10793 10768 25 2.321693907875E-03
9 64878 64613 265 4.101341835234E-03
10 413857
11 2765585
12 19187578
13 137315258
14 1008664502
15 7576114920
16 58010151599
17 4.51708E+11
18 3.56976E+12
19 2.85842E+13
20 2.31586E+14
21 1.8962E+15
22 1.56748E+16
23 1.30703E+17
24 1.09852E+18
25 9.29994E+18
26 7.92591E+19
27 6.7966E+20
28 5.8615E+21
29 5.08186E+22
30 4.42768E+23
31 3.87548E+24
32 3.40675E+25
33 3.00681E+26
34 2.66389E+27
35 2.36849E+28
36 2.11294E+29
37 1.89095E+30
38 1.69736E+31
39 1.52793E+32
40 1.37912E+33
41 1.248E+34
42 1.1321E+35
43 1.02935E+36
44 9.37998E+36
45 8.56559E+37
46 7.83771E+38
47 7.18553E+39
48 6.59981E+40
49 6.07257E+41
50 5.59695E+42
51 5.167E+43
52 4.77756E+44
53 4.42413E+45
54 4.10279E+46
55 3.8101E+47
56 3.54305E+48
57 3.299E+49
58 3.07561E+50
59 2.8708E+51
60 2.68277E+52
61 2.50988E+53
62 2.3507E+54
63 2.20395E+55
64 2.06846E+56
65 1.94323E+57
66 1.82734E+58

白新岭 · 发表于 2021-8-19 09:15

二生素数(P,P+22)的系数 1.4670262574374900
上边系数的平方值 2.1521660400110400
二生素数L22的四生素数系数 5.3372325388659000
二生L22差6的四生素数系数 7.1163100518212000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 6%7≡-22
二生L22差12的四生素数系数 11.4955777760189000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 12%5≡22 12%17≡-22
二生L22差18的四生素数系数 10.6744650777318000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 18%5≡-22
二生L22差24的四生素数系数 5.6181395145956800 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 24%23≡-22
二生L22差30的四生素数系数 17.7907751295530000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 30%5≡0 30%13≡-22 世界很奇妙
二生L22差36的四生素数系数 7.4009624538940500 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 36%7≡22 36%29≡-22
二生L22差42的四生素数系数 17.7907751295530000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 42%5≡22 42%7≡0 你是想不到
二生L22差48的四生素数系数 15.8140223373804000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 48%5≡-22 48%7≡-22 48%13≡22
二生L22差54的四生素数系数 5.6930480414569600 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 54%19≡-22
二生L22差60的四生素数系数 17.5407426142187000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 60%5≡0 60%19≡22 60%41≡-22
二生L22差66的四生素数系数 5.9302583765176700 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 66%11≡0 8.15日订正
二生L22差72的四生素数系数 10.9227084516325000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 72%5≡22 72%47≡-22
二生L22差78的四生素数系数 17.3954245711185000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 78%5≡-22 78%7≡22 78%13≡0
二生L22差84的四生素数系数 9.4131085341550200 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 84%7≡0 84%31≡22 84%53≡-22
二生L22差90的四生素数系数 22.9911555520377000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 90%5≡0 90%7≡-22 90%17≡22
二生L22差96的四生素数系数 5.5989480738295700 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 96%37≡22 96%59≡-22
二生L22差102的四生素数系数 12.7728641955765000 ∏(Pi-2)/(Pi-4)∏(Pj-3)/(Pj-4) 102%5≡22 102%17≡0 102%31≡-22

白新岭 · 发表于 2021-8-19 09:16

10^n 二生L22差等于6的数量实际数量理论-实际误差/实际
2 1 2 -1 -5.000000000000E-01
3 6 6 0 0.000000000000E+00
4 20 22 -2 -9.090909090909E-02
5 69 54 15 2.777777777778E-01
6 293 268 25 9.328358208955E-02
7 1458 1473 -15 -1.018329938900E-02
8 8095 8153 -58 -7.113945786827E-03
9 48658 48593 65 1.337641224045E-03
10 310392
11 2074189
12 14390683
13 102986444
14 756498377
15 5682086190
16 43507613699
17 3.3878127907800000E+11
18 2.6773230891700000E+12
19 2.1438164310829000E+13
20 1.7368959840760900E+14
21 1.4221504317319600E+15
22 1.1756096690754300E+16
23 9.8027420764118800E+16
24 8.2389074919024100E+17
25 6.9749577085047700E+18
26 5.9444335009510100E+19
27 5.0974469607364200E+20
28 4.3961215390802600E+21
29 3.8113968144057200E+22
30 3.3207587477827900E+23
31 2.9066068536951600E+24
32 2.5550657012457700E+25
33 2.2551103384336400E+26
34 1.9979161337730000E+27
35 1.7763708238349800E+28
36 1.5847050143537100E+29
37 1.4182100233994400E+30
38 1.2730207136782500E+31
39 1.1459470967751200E+32
40 1.0343428352793600E+33
41 9.3600187312715500E+33
42 8.4907666403121700E+34
43 7.7201309764482100E+35
44 7.0349841899227900E+36
45 6.4241932111562500E+37
46 5.8782804985306500E+38
47 5.3891485414438000E+39
48 4.9498548882508400E+40
49 4.5544276091538300E+41
50 4.1977132771801100E+42
51 3.8752512227096600E+43
52 3.5831691112261200E+44
53 3.3180959009744800E+45
54 3.0770890248042400E+46
55 2.8575732595268200E+47
56 2.6572892350101600E+48
57 2.4742499231074000E+49
58 2.3067037556000400E+50
59 2.1531032676802500E+51
60 2.0120783622419600E+52
61 1.8824134505754600E+53
62 1.7630278548828600E+54
63 1.6529589635409000E+55
64 1.5513477160906600E+56
65 1.4574260653582300E+57
66 1.3705061219352500E+58

白新岭 · 发表于 2021-8-19 09:17

10^n 二生L22差等于12的数量实际数量理论-实际误差/实际
2 2 3 -1 -3.333333333333E-01
3 10 11 -1 -9.090909090909E-02
4 32 36 -4 -1.111111111111E-01
5 111 98 13 1.326530612245E-01
6 473 444 29 6.531531531532E-02
7 2355 2363 -8 -3.385526872620E-03
8 13076 13140 -64 -4.870624048706E-03
9 78602 78791 -189 -2.398751126398E-03
10 501404
11 3350613
12 23246488
13 166362717
14 1222035839
15 9178754614
16 70281529822
17 5.4726206620300000E+11
18 4.3249065286590000E+12
19 3.4630880809801000E+13
20 2.8057550511998300E+14
21 2.2973199281824000E+15
22 1.8990617731218500E+16
23 1.5835198738819200E+17
24 1.3309004409996200E+18
25 1.1267239375276900E+19
26 9.6025464246131600E+19
27 8.2343373981126800E+20
28 7.1014271015911900E+21
29 6.1568717771169300E+22
30 5.3643025925721900E+23
31 4.6952879944306400E+24
32 4.1274138250893300E+25
33 3.6428705467005000E+26
34 3.2274029853256100E+27
35 2.8695221000411300E+28
36 2.5599081001098500E+29
37 2.2909546531837100E+30
38 2.0564180759417900E+31
39 1.8511453101752000E+32
40 1.6708615031435900E+33
41 1.5120030258207900E+34
42 1.3715853803581200E+35
43 1.2470980808108700E+36
44 1.1364205229875300E+37
45 1.0377542879560100E+38
46 9.4956838822418100E+38
47 8.7055476438707500E+39
48 7.9959194348667400E+40
49 7.3571522917100300E+41
50 6.7809214477524800E+42
51 6.2600212059156100E+43
52 5.7881962565960500E+44
53 5.3600010708049300E+45
54 4.9706822708376200E+46
55 4.6160798807740900E+47
56 4.2925441488625700E+48
57 3.9968652604042600E+49
58 3.7262137590462200E+50
59 3.4780898939450200E+51
60 3.2502804313139300E+52
61 3.0408217278526700E+53
62 2.8479680732723200E+54
63 2.6701644795660600E+55
64 2.5060232336849100E+56
65 2.3543036440402200E+57
66 2.2138945046646400E+58
67 2.0837988778067800E+59
68 1.9631208593114800E+60
69 1.8510540438267300E+61
70 1.7468714506716900E+62
71 1.6499167077019200E+63
72 1.5595963210159600E+64
73 1.4753728839123200E+65
74 1.3967590999853600E+66

白新岭 · 发表于 2021-8-19 09:17

10^n 二生L22差等于18的数量实际数量理论-实际误差/实际
2 2 2 0 0.000000000000E+00
3 9 7 2 2.857142857143E-01
4 30 27 3 1.111111111111E-01
5 103 93 10 1.075268817204E-01
6 439 453 -14 -3.090507726269E-02
7 2187 2160 27 1.250000000000E-02
8 12142 12029 113 9.393964585585E-03
9 72988 72752 236 3.243897074995E-03
10 465589
11 3111283
12 21586025
13 154479666
14 1134747565
15 8523129285
16 65261420549
17 5.0817191861700000E+11
18 4.0159846337550000E+12
19 3.2157246466243000E+13
20 2.6053439761141300E+14
21 2.1332256475979500E+15
22 1.7634145036131500E+16
23 1.4704113114617800E+17
24 1.2358361237853600E+18
25 1.0462436562757200E+19
26 8.9166502514265100E+19
27 7.6461704411046300E+20
28 6.5941823086203900E+21
29 5.7170952216085700E+22
30 4.9811381216741800E+23
31 4.3599102805427400E+24
32 3.8325985518686600E+25
33 3.3826655076504600E+26
34 2.9968742006595000E+27
35 2.6645562357524700E+28
36 2.3770575215305700E+29
37 2.1273150350991600E+30
38 1.9095310705173800E+31
39 1.7189206451626900E+32
40 1.5515142529190400E+33
41 1.4040028096907300E+34
42 1.2736149960468300E+35
43 1.1580196464672300E+36
44 1.0552476284884200E+37
45 9.6362898167343700E+37
46 8.8174207477959700E+38
47 8.0837228121657000E+39
48 7.4247823323762600E+40
49 6.8316414137307400E+41
50 6.2965699157701600E+42
51 5.8128768340644900E+43
52 5.3747536668391900E+44
53 4.9771438514617200E+45
54 4.6156335372063600E+46
55 4.2863598892902300E+47
56 3.9859338525152400E+48
57 3.7113748846610900E+49
58 3.4600556334000600E+50
59 3.2296549015203800E+51
60 3.0181175433629400E+52
61 2.8236201758631900E+53
62 2.6445417823243000E+54
63 2.4794384453113400E+55
64 2.3270215741359900E+56
65 2.1861390980373500E+57
66 2.0557591829028800E+58

白新岭 · 发表于 2021-8-19 09:18

10^n 二生L22差等于24的数量实际数量理论-实际误差/实际
2 1 2 -1 -5.000000000000E-01
3 4 5 -1 -2.000000000000E-01
4 15 14 1 7.142857142857E-02
5 54 49 5 1.020408163265E-01
6 231 221 10 4.524886877828E-02
7 1151 1174 -23 -1.959114139693E-02
8 6390 6393 -3 -4.692632566870E-04
9 38414 38578 -164 -4.251127585671E-03
10 245047
11 1637517
12 11361066
13 81305087
14 597235560
15 4485857518
16 34348116078
17 2.6745890453500000E+11
18 2.1136761230290000E+12
19 1.6924866561181000E+13
20 1.3712336716390100E+14
21 1.1227503408410200E+15
22 9.2811289663849800E+15
23 7.7390069024304300E+16
24 6.5044006515019000E+17
25 5.5065455593458700E+18
26 4.6929738165402700E+19
27 4.0243002321603300E+20
28 3.4706222676949400E+21
29 3.0089974850571400E+22
30 2.6216516429864100E+23
31 2.2946896213382800E+24
32 2.0171571325624500E+25
33 1.7803502671844500E+26
34 1.5773022108734200E+27
35 1.4023980188170900E+28
36 1.2510829060687200E+29
37 1.1196394921574500E+30
38 1.0050163529038800E+31
39 9.0469507640141400E+31
40 8.1658644890476000E+32
41 7.3894884720564900E+33
42 6.7032368212990800E+34
43 6.0948402445643800E+35
44 5.5539348867811500E+36
45 5.0717314824917800E+37
46 4.6407477619978800E+38
47 4.2545909537714200E+39
48 3.9077801749348700E+40
49 3.5956007440688100E+41
50 3.3139841661948200E+42
51 3.0594088600339400E+43
52 2.8288177193890500E+44
53 2.6195493955061700E+45
54 2.4292808090559800E+46
55 2.2559788891001200E+47
56 2.0978599223764400E+48
57 1.9533552024532100E+49
58 1.8210819123158200E+50
59 1.6998183692212500E+51
60 1.5884829175594400E+52
61 1.4861158820332600E+53
62 1.3918640959601600E+54
63 1.3049676027954400E+55
64 1.2247481969136800E+56
65 1.1505995252828100E+57
66 1.0819785173173000E+58

白新岭 · 发表于 2021-8-19 09:18

10^n 二生L22差等于30的数量实际数量理论-实际误差/实际
2 3 3 0 0.000000000000E+00
3 15 15 0 0.000000000000E+00
4 50 48 2 4.166666666667E-02
5 172 167 5 2.994011976048E-02
6 732 714 18 2.521008403361E-02
7 3645 3599 46 1.278132814671E-02
8 20237 20100 137 6.815920398010E-03
9 121646 121135 511 4.218433978619E-03
10 775982
11 5185473
12 35976709
13 257466110
14 1891245942
15 14205215475
16 1.0876903424800000E+11
17 8.4695319769500000E+11
18 6.6933077229260000E+12
19 5.3595410777073000E+13
20 4.3422399601902100E+14
21 3.5553760793299100E+15
22 2.9390241726885800E+16
23 2.4506855191029700E+17
24 2.0597268729756000E+18
25 1.7437394271261900E+19
26 1.4861083752377500E+20
27 1.2743617401841100E+21
28 1.0990303847700700E+22
29 9.5284920360142900E+22
30 8.3018968694569700E+23
31 7.2665171342379000E+24
32 6.3876642531144300E+25
33 5.6377758460841000E+26
34 4.9947903344325000E+27
35 4.4409270595874600E+28
36 3.9617625358842900E+29
37 3.5455250584986000E+30
38 3.1825517841956300E+31
39 2.8648677419378100E+32
40 2.5858570881984100E+33
41 2.3400046828178900E+34
42 2.1226916600780400E+35
43 1.9300327441120500E+36
44 1.7587460474807000E+37
45 1.6060483027890600E+38
46 1.4695701246326600E+39
47 1.3472871353609500E+40
48 1.2374637220627100E+41
49 1.1386069022884600E+42
50 1.0494283192950300E+43
51 9.6881280567741600E+43
52 8.9579227780653100E+44
53 8.2952397524362100E+45
54 7.6927225620106100E+46
55 7.1439331488170400E+47
56 6.6432230875254000E+48
57 6.1856248077684900E+49
58 5.7667593890001100E+50
59 5.3827581692006300E+51
60 5.0301959056048900E+52
61 4.7060336264386500E+53
62 4.4075696372071600E+54
63 4.1323974088522400E+55
64 3.8783692902266500E+56
65 3.6435651633955800E+57
66 3.4262653048381300E+58

白新岭 · 发表于 2021-8-19 09:19

10^n 二生L22差等于30的数量实际数量理论-实际误差/实际
2 3 3 0 0.000000000000E+00
3 15 15 0 0.000000000000E+00
4 50 48 2 4.166666666667E-02
5 172 167 5 2.994011976048E-02
6 732 714 18 2.521008403361E-02
7 3645 3599 46 1.278132814671E-02
8 20237 20100 137 6.815920398010E-03
9 121646 121135 511 4.218433978619E-03
10 775982
11 5185473
12 35976709
13 257466110
14 1891245942
15 14205215475
16 1.0876903424800000E+11
17 8.4695319769500000E+11
18 6.6933077229260000E+12
19 5.3595410777073000E+13
20 4.3422399601902100E+14
21 3.5553760793299100E+15
22 2.9390241726885800E+16
23 2.4506855191029700E+17
24 2.0597268729756000E+18
25 1.7437394271261900E+19
26 1.4861083752377500E+20
27 1.2743617401841100E+21
28 1.0990303847700700E+22
29 9.5284920360142900E+22
30 8.3018968694569700E+23
31 7.2665171342379000E+24
32 6.3876642531144300E+25
33 5.6377758460841000E+26
34 4.9947903344325000E+27
35 4.4409270595874600E+28
36 3.9617625358842900E+29
37 3.5455250584986000E+30
38 3.1825517841956300E+31
39 2.8648677419378100E+32
40 2.5858570881984100E+33
41 2.3400046828178900E+34
42 2.1226916600780400E+35
43 1.9300327441120500E+36
44 1.7587460474807000E+37
45 1.6060483027890600E+38
46 1.4695701246326600E+39
47 1.3472871353609500E+40
48 1.2374637220627100E+41
49 1.1386069022884600E+42
50 1.0494283192950300E+43
51 9.6881280567741600E+43
52 8.9579227780653100E+44
53 8.2952397524362100E+45
54 7.6927225620106100E+46
55 7.1439331488170400E+47
56 6.6432230875254000E+48
57 6.1856248077684900E+49
58 5.7667593890001100E+50
59 5.3827581692006300E+51
60 5.0301959056048900E+52
61 4.7060336264386500E+53
62 4.4075696372071600E+54
63 4.1323974088522400E+55
64 3.8783692902266500E+56
65 3.6435651633955800E+57
66 3.4262653048381300E+58

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