[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-8-29 11:08

10^n 二生L10差等于612的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 17 10 7 7.000000000000E-01
4 55 43 12 2.790697674419E-01
5 191 178 13 7.303370786517E-02
6 812 755 57 7.549668874172E-02
7 4039 4014 25 6.228201295466E-03
8 22426 22442 -16 -7.129489350325E-04
9 134800 135300 -500 -3.695491500370E-03
10 859892
11 5746200
12 39867026
13 285307034
14 2095754551
15 15741286902
16 1.2053070066100000E+11
17 9.3853791247200000E+11
18 7.4170840548300000E+12
19 5.9390914498837000E+13
20 4.8117851597736500E+14
21 3.9398342820244500E+15
22 3.2568335762216700E+16
23 2.7156887505533600E+17
24 2.2824540539986300E+18
25 1.9322975180741700E+19
26 1.6468077055490700E+20
27 1.4121639904333100E+21
28 1.2178732967455000E+22
29 1.0558849118026700E+23
30 9.1996169075544200E+23
31 8.0522770805681600E+24
32 7.0783900338401000E+25
33 6.2474129479314700E+26
34 5.5348986301416500E+27
35 4.9211437223345100E+28
36 4.3901650649173600E+29
37 3.9289180276766300E+30
38 3.5266948823189500E+31
39 3.1746582896737800E+32
40 2.8654770064212500E+33
41 2.5930395164275300E+34
42 2.3522274960344200E+35
43 2.1387355376806000E+36
44 1.9489268692344400E+37
45 1.7797172565519700E+38
46 1.6284811023305100E+39
47 1.4929751242029000E+40
48 1.3712760299223000E+41
49 1.2617293943855300E+42
50 1.1629075452589200E+43
51 1.0735747272596700E+44
52 9.9265817368611800E+44
53 9.1922399276590100E+45
54 8.5245699458113400E+46
55 7.9164375582751200E+47
56 7.3615835510435800E+48
57 6.8545031888666800E+49
58 6.3903440395681200E+50
59 5.9648191059610000E+51
60 5.5741327589559400E+52
61 5.2149174096084100E+53
62 4.8841792175053600E+54
63 4.5792514251863800E+55
64 4.2977541466909000E+56
65 4.0375596334218000E+57
66 3.7967622007110900E+58

独木星空谁 · 发表于 2021-8-29 11:09

10^n 二生L10差等于618的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 11 7 4 5.714285714286E-01
4 38 33 5 1.515151515152E-01
5 132 124 8 6.451612903226E-02
6 561 573 -12 -2.094240837696E-02
7 2794 2742 52 1.896425966448E-02
8 15516 15406 110 7.140075295339E-03
9 93270 93394 -124 -1.327708418100E-03
10 594968
11 3975855
12 27584408
13 197406889
14 1450074255
15 10891559256
16 83396438711
17 6.4938409108000000E+11
18 5.1319571893690000E+12
19 4.1093188157557000E+13
20 3.3293239313260900E+14
21 2.7260120984329200E+15
22 2.2534368442524600E+16
23 1.8790131410762500E+17
24 1.5792535725945300E+18
25 1.3369766429199700E+19
26 1.1394432881609900E+20
27 9.7709087421678200E+20
28 8.4265913326199800E+21
29 7.3057769390438700E+22
30 6.3653101109763300E+23
31 5.5714538151294500E+24
32 4.8976112923613000E+25
33 4.3226496499280900E+26
34 3.8296536222871200E+27
35 3.4049902521072200E+28
36 3.0376006259158700E+29
37 2.7184590291179200E+30
38 2.4401566737327200E+31
39 2.1965789133633900E+32
40 1.9826531849131200E+33
41 1.7941508671435600E+34
42 1.6275305389650900E+35
43 1.4798132443453800E+36
44 1.3484826630231100E+37
45 1.2314047814868000E+38
46 1.1267629218001700E+39
47 1.0330049336860000E+40
48 9.4880007134169600E+40
49 8.7300362092286800E+41
50 8.0462776117218500E+42
51 7.4281746022522900E+43
52 6.8683045970304900E+44
53 6.3602059022697500E+45
54 5.8982381345945100E+46
55 5.4774650443566100E+47
56 5.0935558166314400E+48
57 4.7427016681514400E+49
58 4.4215451508940600E+50
59 4.1271200471554800E+51
60 3.8568001219018900E+52
61 3.6082553055039300E+53
62 3.3794141288076700E+54
63 3.1684314347378900E+55
64 2.9736605555778900E+56
65 2.7936292800611500E+57
66 2.6270190452510500E+58

独木星空谁 · 发表于 2021-8-29 11:09

10^n 二生L10差等于624的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 13 7 6 8.571428571429E-01
4 43 34 9 2.647058823529E-01
5 148 128 20 1.562500000000E-01
6 631 618 13 2.103559870550E-02
7 3139 3142 -3 -9.548058561426E-04
8 17427 17580 -153 -8.703071672355E-03
9 104752 105316 -564 -5.355311633560E-03
10 668215
11 4465323
12 30980321
13 221709627
14 1628592725
15 12232417831
16 93663364445
17 7.2932968994400000E+11
18 5.7637518336890000E+12
19 4.6152165705094000E+13
20 3.7391966078504500E+14
21 3.0616111263645300E+15
22 2.5308571883775400E+16
23 2.1103382272629200E+17
24 1.7736752936591300E+18
25 1.5015716797465400E+19
26 1.2797200169803000E+20
27 1.0973804165033000E+21
28 9.4639879977448000E+21
29 8.2051902763646300E+22
30 7.1489426880125600E+23
31 6.2573548372115500E+24
32 5.5005556409385500E+25
33 4.8548105385164900E+26
34 4.3011218280567100E+27
35 3.8241782004588400E+28
36 3.4115592807170900E+29
37 3.0531281995769800E+30
38 2.7405640740433400E+31
39 2.4669994843225600E+32
40 2.2267373846732300E+33
41 2.0150285687950600E+34
42 1.8278956316657800E+35
43 1.6619928783272400E+36
44 1.5144942046275400E+37
45 1.3830028789034900E+38
46 1.2654785722123200E+39
47 1.1601780492392500E+40
48 1.0656067362228800E+41
49 9.8047899373244500E+41
50 9.0368538995211900E+42
51 8.3426563014550300E+43
52 7.7138607659215700E+44
53 7.1432101007741100E+45
54 6.6243695357049500E+46
55 6.1517951199539300E+47
56 5.7206228724818400E+48
57 5.3265751111622900E+49
58 4.9658810529426300E+50
59 4.6352093094073500E+51
60 4.3316103300373800E+52
61 4.0524671906061000E+53
62 3.7954534036363400E+54
63 3.5584966549829800E+55
64 3.3397475558609100E+56
65 3.1375526512482300E+57
66 2.9504310500807100E+58

独木星空谁 · 发表于 2021-8-29 11:09

10^n 二生L10差等于630的数量实际数量理论-实际误差/实际
2 6 0 6 #DIV/0!
3 25 14 11 7.857142857143E-01
4 81 69 12 1.739130434783E-01
5 278 260 18 6.923076923077E-02
6 1182 1123 59 5.253784505788E-02
7 5880 5791 89 1.536867553100E-02
8 32646 32293 353 1.093116155204E-02
9 196236 195427 809 4.139653169726E-03
10 1251790
11 8365043
12 58036502
13 415336276
14 3050898804
15 22915409326
16 1.7546280422000000E+11
17 1.3662784094500000E+12
18 1.0797434680605000E+13
19 8.6458440430504000E+13
20 7.0047656970969700E+14
21 5.7354214942276700E+15
22 4.7411418752836300E+16
23 3.9533692324624000E+17
24 3.3226869720429500E+18
25 2.8129459071336100E+19
26 2.3973435518238600E+20
27 2.0557605026838200E+21
28 1.7729214437443000E+22
29 1.5371065342047700E+23
30 1.3392360382004600E+24
31 1.1722118175396100E+25
32 1.0304380194324500E+26
33 9.0946836694031600E+26
34 8.0574395518417200E+27
35 7.1639646393345000E+28
36 6.3909914159121000E+29
37 5.7195301355203800E+30
38 5.1339930016653800E+31
39 4.6215150404922700E+32
40 4.1714237801389900E+33
41 3.7748223689901700E+34
42 3.4242597973275400E+35
43 3.1134684596375500E+36
44 2.8371541177466400E+37
45 2.5908268917420300E+38
46 2.3706645631934300E+39
47 2.1734014693888600E+40
48 1.9962377738624800E+41
49 1.8367650440208900E+42
50 1.6929049430602900E+43
51 1.5628585178006000E+44
52 1.4450640860088900E+45
53 1.3381621329032900E+46
54 1.2409659441597400E+47
55 1.1524369524017600E+48
56 1.0716639713209700E+49
57 9.9784564800216000E+49
58 9.3027558867820600E+50
59 8.6832971289162400E+51
60 8.1145547119223000E+52
61 7.5916262615800500E+53
62 7.1101534888280100E+54
63 6.6662542562554600E+55
64 6.2564640402010100E+56
65 5.8776853664652900E+57
66 5.5271440308499800E+58

独舟星海 · 发表于 2021-8-29 11:11

10^n 二生L10差等于636的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 13 10 3 3.000000000000E-01
4 42 37 5 1.351351351351E-01
5 145 155 -10 -6.451612903226E-02
6 615 593 22 3.709949409781E-02
7 3060 3017 43 1.425256877693E-02
8 16992 16950 42 2.477876106195E-03
9 102138 102125 13 1.272949816401E-04
10 651539 两位数以内
11 4353887
12 30207180
13 216176673
14 1587949792
15 11927147312
16 91325914541
17 7.1112863957800000E+11
18 5.6199124440830000E+12
19 4.5000398672868000E+13
20 3.6458817370499300E+14
21 2.9852059846561900E+15
22 2.4676974681712800E+16
23 2.0576729197984800E+17
24 1.7294116995698600E+18
25 1.4640986656239000E+19
26 1.2477835021164800E+20
27 1.0699943433639400E+21
28 9.2278060287589600E+21
29 8.0004226883418000E+22
30 6.9705346679871700E+23
31 6.1011971596608400E+24
32 5.3632845389356100E+25
33 4.7336545615316000E+26
34 4.1937836295678200E+27
35 3.7287425408455500E+28
36 3.3264208815112100E+29
37 2.9769347566104300E+30
38 2.6721709379474800E+31
39 2.4054333881025300E+32
40 2.1711672360158300E+33
41 1.9647417959193900E+34
42 1.7822789223577800E+35
43 1.6205164150712300E+36
44 1.4766986977702000E+37
45 1.3484888512937400E+38
46 1.2338974648645900E+39
47 1.1312248071061500E+40
48 1.0390136026320900E+41
49 9.5601029625056300E+41
50 8.8113314297193600E+42
51 8.1344581304176900E+43
52 7.5213547288669900E+44
53 6.9649451423990100E+45
54 6.4590526903533400E+46
55 5.9982717760343900E+47
56 5.5778598032376600E+48
57 5.1936458430773100E+49
58 4.8419532156384300E+50
59 4.5195336701717400E+51
60 4.2235112647309400E+52
61 3.9513343826866600E+53
62 3.7007345960598200E+54
63 3.4696913070890800E+55
64 3.2564012800787700E+56
65 3.0592523234007000E+57
66 2.8768005029021700E+58

独舟星海 · 发表于 2021-8-29 11:11

10^n 二生L10差等于642的数量实际数量理论-实际误差/实际
2 2 0 2 #DIV/0!
3 11 4 7 1.750000000000E+00
4 36 31 5 1.612903225806E-01
5 125 114 11 9.649122807018E-02
6 533 522 11 2.107279693487E-02
7 2652 2655 -3 -1.129943502825E-03
8 14726 14705 21 1.428085685141E-03
9 88516 88600 -84 -9.480812641084E-04
10 564647 两位数以内
11 3773233
12 26178619
13 187346409
14 1376173880
15 10336490918
16 79146292198
17 6.1628942213400000E+11
18 4.8704164054810000E+12
19 3.8998949206095000E+13
20 3.1596510446110200E+14
21 2.5870858925419000E+15
22 2.1385945692798000E+16
23 1.7832526832781500E+17
24 1.4987698113131600E+18
25 1.2688400809169800E+19
26 1.0813736512202000E+20
27 9.2729523022690000E+20
28 7.9971455634291400E+21
29 6.9334514193548900E+22
30 6.0409137579498500E+23
31 5.2875148919390700E+24
32 4.6480135172201300E+25
33 4.1023537401609000E+26
34 3.6344823506970200E+27
35 3.2314611701588700E+28
36 2.8827948823121400E+29
37 2.5799177515488900E+30
38 2.3157985651769200E+31
39 2.0846342985360300E+32
40 1.8816109024023200E+33
41 1.7027152594617000E+34
42 1.5445864306538400E+35
43 1.4043972769759100E+36
44 1.2797597178126600E+37
45 1.1686484957365000E+38
46 1.0693395164695900E+39
47 9.8035973222625400E+39
48 9.0044621622256200E+40
49 8.2851259285529000E+41
50 7.6362138336538900E+42
51 7.0496113101890600E+43
52 6.5182740527354600E+44
53 6.0360696758766400E+45
54 5.5976452480288200E+46
55 5.1983160864519100E+47
56 4.8339720882593100E+48
57 4.5009985778357200E+49
58 4.1962092133380000E+50
59 3.9167889449062700E+51
60 3.6602453787575500E+52
61 3.4243671929867600E+53
62 3.2071884870654100E+54
63 3.0069581389638100E+55
64 2.8221134003647100E+56
65 2.6512570885481100E+57
66 2.4931378387186300E+58

独舟星海 · 发表于 2021-8-29 11:11

10^n 二生L10差等于648的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 17 12 5 4.166666666667E-01
4 57 51 6 1.176470588235E-01
5 196 164 32 1.951219512195E-01
6 831 780 51 6.538461538462E-02
7 4137 4092 45 1.099706744868E-02
8 22972 23002 -30 -1.304234414399E-03
9 138085 138403 -318 -2.297638056979E-03
10 880842
11 5886195
12 40838306
13 292257964
14 2146813378
15 16124791569
16 1.2346718777600000E+11
17 9.6140349337100000E+11
18 7.5977863293290000E+12
19 6.0837854193088000E+13
20 4.9290145879889400E+14
21 4.0358203879723800E+15
22 3.3361797492646000E+16
23 2.7818510227386500E+17
24 2.3380614377020400E+18
25 1.9793740449065300E+19
26 1.6869288496342200E+20
27 1.4465685142530100E+21
28 1.2475443201755800E+22
29 1.0816094153625200E+23
30 9.4237469952583100E+23
31 8.2484545503932100E+24
32 7.2508407124965300E+25
33 6.3996185480138500E+26
34 5.6697452577644900E+27
35 5.0410374510814800E+28
36 4.4971225709659500E+29
37 4.0246381811323100E+30
38 3.6126156811111200E+31
39 3.2520024278095900E+32
40 2.9352885669695300E+33
41 2.6562136877084400E+34
42 2.4095347687484300E+35
43 2.1908415099675700E+36
44 1.9964085366255300E+37
45 1.8230764734419200E+38
46 1.6681557557380600E+39
47 1.5293484481021300E+40
48 1.4046844011557100E+41
49 1.2924688830690200E+42
50 1.1912394391551100E+43
51 1.0997302074492700E+44
52 1.0168422854555500E+45
53 9.4161902901452600E+45
54 8.7322538775220000E+46
55 8.1093055724618400E+47
56 7.5409336678489900E+48
57 7.0214993166756300E+49
58 6.5460318670547500E+50
59 6.1101398777704400E+51
60 5.7099352468956300E+52
61 5.3419683409819000E+53
62 5.0031723807404600E+54
63 4.6908156385507800E+55
64 4.4024602473369600E+56
65 4.1359266202041900E+57
66 3.8892626443260200E+58

独舟星海 · 发表于 2021-8-29 11:11

10^n 二生L10差等于654的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 15 11 4 3.636363636364E-01
4 51 39 12 3.076923076923E-01
5 175 161 14 8.695652173913E-02
6 742 733 9 1.227830832196E-02
7 3695 3650 45 1.232876712329E-02
8 20517 20421 96 4.701043043925E-03
9 123330 123034 296 2.405839036364E-03
10 786724
11 5257253
12 36474721
13 261030116
14 1917425747
15 14401852923
16 1.1027468303100000E+11
17 8.5867725187900000E+11
18 6.7859606612770000E+12
19 5.4337311866370000E+13
20 4.4023479528288700E+14
21 3.6045918115702500E+15
22 2.9797079775810800E+16
23 2.4846094359045300E+17
24 2.0882388964596800E+18
25 1.7678773553868000E+19
26 1.5066800138615900E+20
27 1.2920022498750100E+21
28 1.1142438485314100E+22
29 9.6603913631839300E+22
30 8.4168169016272600E+23
31 7.3671047946200500E+24
32 6.4760862840073500E+25
33 5.7158174541393000E+26
34 5.0639313361749600E+27
35 4.5024011405810800E+28
36 4.0166037228122900E+29
37 3.5946044267671100E+30
38 3.2266066501105500E+31
39 2.9045250272840500E+32
40 2.6216521341302400E+33
41 2.3723964864811500E+34
42 2.1520752813997200E+35
43 1.9567494606083900E+36
44 1.7830917067359300E+37
45 1.6282802246649600E+38
46 1.4899128304810800E+39
47 1.3659371238362300E+40
48 1.2545934663832200E+41
49 1.1543682088787300E+42
50 1.0639551603423400E+43
51 9.8222371652660400E+43
52 9.0819239298528800E+44
53 8.4100676326424100E+45
54 7.7992100236359000E+46
55 7.2428239252497000E+47
56 6.7351827231288700E+48
57 6.2712500827002200E+49
58 5.8465864676693600E+50
59 5.4572696635851500E+51
60 5.0998270133366400E+52
61 4.7711774778076700E+53
62 4.4685819639639700E+54
63 4.1896006300718300E+55
64 3.9320560958578800E+56
65 3.6940016639178200E+57
66 3.4736938052456100E+58

独舟星海 · 发表于 2021-8-29 11:12

10^n 二生L10差等于660的数量实际数量理论-实际误差/实际
2 5 0 5 #DIV/0!
3 21 9 12 1.333333333333E+00
4 68 60 8 1.333333333333E-01
5 234 208 26 1.250000000000E-01
6 992 993 -1 -1.007049345418E-03
7 4937 4911 26 5.294237426186E-03
8 27411 27280 131 4.802052785924E-03
9 164770 164571 199 1.209204537859E-03
10 1051066
11 7023709
12 48730357
13 348737165
14 2561687625
15 19240926781
16 1.4732736914100000E+11
17 1.1471958656610000E+12
18 9.0660676035400000E+12
19 7.2594842110744000E+13
20 5.8815525386703400E+14
21 4.8157474936955400E+15
22 3.9809004667104500E+16
23 3.3194470523299500E+17
24 2.7898946004325600E+18
25 2.3618904409751600E+19
26 2.0129298627559000E+20
27 1.7261196057520200E+21
28 1.4886337486832600E+22
29 1.2906317255130500E+23
30 1.1244897346989300E+24
31 9.8424782347349300E+24
32 8.6520743322608200E+25
33 7.6363524687700000E+26
34 6.7654302942577700E+27
35 6.0152239537269200E+28
36 5.3661968740019900E+29
37 4.8024043120404400E+30
38 4.3107579722438200E+31
39 3.8804557774395800E+32
40 3.5025365850729700E+33
41 3.1695301523882500E+34
42 2.8751802379893100E+35
43 2.6142242459930500E+36
44 2.3822168685452800E+37
45 2.1753881773227500E+38
46 1.9905288460632900E+39
47 1.8248968605947200E+40
48 1.6761413378203900E+41
49 1.5422400369621400E+42
50 1.4214478822197200E+43
51 1.3122543822932200E+44
52 1.2133482704681100E+45
53 1.1235880299596100E+46
54 1.0419772359125500E+47
55 9.6764385507786400E+47
56 8.9982280973889000E+48
57 8.3784124380356300E+49
58 7.8110603364234200E+50
59 7.2909317000812700E+51
60 6.8133870467452500E+52
61 6.3743100971867500E+53
62 5.9700414133599600E+54
63 5.5973213580220800E+55
64 5.2532409433757700E+56
65 4.9351993747580300E+57
66 4.6408672912093100E+58

独舟星海 · 发表于 2021-8-29 11:15

截止上楼（3309#），对于2对二生素数（P，P+10）的四生素数，2对间距从6到660, 110种四生素数的理论值，及实际值（统计数据）已经全部发完了。比对情况，也随之发出，大家有什么看法，可以直言。

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[原创]k生素数群的数量公式

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