[原创]k生素数群的数量公式

独舟星海 · 发表于 2021-8-19 08:47

10^n 二生L14差等于60的数量实际数量理论-实际误差/实际
2 5 3 2 6.666666666667E-01
3 19 17 2 1.176470588235E-01
4 63 55 8 1.454545454545E-01
5 218 209 9 4.306220095694E-02
6 927 904 23 2.544247787611E-02
7 4612 4548 64 1.407211961302E-02
8 25606 25440 166 6.525157232704E-03
9 153917 153996 -79 -5.130003376711E-04
10 981838
11 6561098
12 45520769
13 325767858
14 2392964031
15 17973637868
16 1.3762376475900000E+11
17 1.0716366882050000E+12
18 8.4689380013630000E+12
19 6.7813438410119000E+13
20 5.4941685833347800E+14
21 4.4985619717199300E+15
22 3.7187015050498800E+16
23 3.1008142134317200E+17
24 2.6061403283795500E+18
25 2.2063263352261200E+19
26 1.8803497783444200E+20
27 1.6124300593504400E+21
28 1.3905860264501600E+22
29 1.2056252549555600E+23
30 1.0504260791763700E+24
31 9.1942109407156900E+24
32 8.0822120799640400E+25
33 7.1333899594259300E+26
34 6.3198304072032700E+27
35 5.6190358329708400E+28
36 5.0127564249891600E+29
37 4.4860976285096700E+30
38 4.0268331985037800E+31
39 3.6248725283423700E+32
40 3.2718446942648600E+33
41 2.9607714753357700E+34
42 2.6858086927090600E+35
43 2.4420403673507100E+36
44 2.2253139782052400E+37
45 2.0321079003923300E+38
46 1.8594241874671600E+39
47 1.7047014259218800E+40
48 1.5657435717752500E+41
49 1.4406615775898600E+42
50 1.3278253056470800E+43
51 1.2258237520001300E+44
52 1.1334320155127800E+45
53 1.0495837645294100E+46
54 9.7334820295509100E+46
55 9.0391073334314600E+47
56 8.4055666923500600E+48
57 7.8265747169000600E+49
58 7.2965908271240100E+50
59 6.8107200652299300E+51
60 6.3646285249014700E+52
61 5.9544710424901700E+53
62 5.5768292060356500E+54
63 5.2286580718066700E+55
64 4.9072402502601900E+56
65 4.6101462460826600E+57
66 4.3352001198908800E+58

独舟星海 · 发表于 2021-8-19 08:48

10^n 二生L14差等于66的数量实际数量理论-实际误差/实际
2 4 3 1 3.333333333333E-01
3 17 18 -1 -5.555555555556E-02
4 56 56 0 0.000000000000E+00
5 192 185 7 3.783783783784E-02
6 814 800 14 1.750000000000E-02
7 4050 4014 36 8.968609865471E-03
8 22486 22378 108 4.826168558406E-03
9 135162 134952 210 1.556108838698E-03
10 862202
11 5761636
12 39974121
13 286073455
14 2101384380
15 15783572750
16 1.2085448249800000E+11
17 9.4105910855000000E+11
18 7.4370085810280000E+12
19 5.9550456418970000E+13
20 4.8247110668780200E+14
21 3.9504178659221300E+15
22 3.2655824140984200E+16
23 2.7229839101144100E+17
24 2.2885854144173400E+18
25 1.9374882523624400E+19
26 1.6512315280419500E+20
27 1.4159574890934500E+21
28 1.2211448719667400E+22
29 1.0587213373349200E+23
30 9.2243298549521900E+23
31 8.0739079269310100E+24
32 7.0974047256827100E+25
33 6.2641953845378900E+26
34 5.5497670382583400E+27
35 4.9343633995416200E+28
36 4.4019583732047700E+29
37 3.9394722872206800E+30
38 3.5361686491062600E+31
39 3.1831863799309100E+32
40 2.8731745424426800E+33
41 2.6000052031309900E+34
42 2.3585462889756100E+35
43 2.1444808267911700E+36
44 1.9541622749785500E+37
45 1.7844981142100700E+38
46 1.6328556940362900E+39
47 1.4969857059566100E+40
48 1.3749596911807900E+41
49 1.2651187803205100E+42
50 1.1660314658833600E+43
51 1.0764586729749100E+44
52 9.9532475311836900E+44
53 9.2169330582624600E+45
54 8.5474695133451300E+46
55 7.9377034986856100E+47
56 7.3813589861393400E+48
57 6.8729164530761100E+49
58 6.4075104322223400E+50
59 5.9808424102229200E+51
60 5.5891065617832200E+52
61 5.2289262515985100E+53
62 4.8972995968968500E+54
63 4.5915526765024900E+55
64 4.3092992113629400E+56
65 4.0484057371062000E+57
66 3.8069614498201500E+58

独舟星海 · 发表于 2021-8-19 08:48

10^n 二生L14差等于72的数量实际数量理论-实际误差/实际
2 1 1 0 0.000000000000E+00
3 6 4 2 5.000000000000E-01
4 20 18 2 1.111111111111E-01
5 71 68 3 4.411764705882E-02
6 303 297 6 2.020202020202E-02
7 1512 1511 1 6.618133686300E-04
8 8394 8279 115 1.389056649354E-02
9 50460 50644 -184 -3.633204328252E-03
10 321889 公式是无法拿捏实际
11 2151011 个数的，素数的分布
12 14923671 有点像电子的运行
13 106800756 轨迹，永远不知道
14 784516835 它的确切位置。
15 5892533826 时松时密(相对）
16 45119006799 一直疏松下去（绝对）
17 3.5132873385800000E+11 缥缈不定，忽而
18 2.7764832035840000E+12 紧锣密鼓，忽而
19 2.2232170396415000E+13 时而昙花一现(展开）
20 1.8012254649677900E+14 20210811日
21 1.4748226699442600E+15
22 1.2191507679300800E+16
23 1.0165806597760500E+17
24 8.5440522138247300E+17
25 7.2332894754864300E+18
26 6.1645977046899400E+19
27 5.2862412926155500E+20
28 4.5589408553425000E+21
29 3.9525596593837100E+22
30 3.4437498125154900E+23
31 3.0142589593875800E+24
32 2.6496977642548800E+25
33 2.3386329435608100E+26
34 2.0719130276164400E+27
35 1.8421623358288700E+28
36 1.6433977926631100E+29
37 1.4707363205623900E+30
38 1.3201696289996700E+31
39 1.1883895818408700E+32
40 1.0726518291786000E+33
41 9.7066860916890200E+33
42 8.8052394788422600E+34
43 8.0060617533537100E+35
44 7.2955391599199400E+36
45 6.6621262930509300E+37
46 6.0959945910688200E+38
47 5.5887466355713500E+39
48 5.1331828470749500E+40
49 4.7231101131965700E+41
50 4.3531841392978900E+42
51 4.0187790457729900E+43
52 3.7158790783085800E+44
53 3.4409883417513200E+45
54 3.1910552849821800E+46
55 2.9634093061759600E+47
56 2.7557073548253500E+48
57 2.5658888091484100E+49
58 2.3921372280296800E+50
59 2.2328478331498900E+51
60 2.0865997830657400E+52
61 1.9521324672634400E+53
62 1.8283251828414900E+54
63 1.7141796658942600E+55
64 1.6088050389088300E+56
65 1.5114048085196500E+57
66 1.4212656079328500E+58

独舟星海 · 发表于 2021-8-19 08:49

10^n 二生L14差等于78的数量实际数量理论-实际误差/实际
2 1 1 0 0.000000000000E+00
3 7 8 -1 -1.250000000000E-01
4 25 23 2 8.695652173913E-02
5 86 95 -9 -9.473684210526E-02
6 366 377 -11 -2.917771883289E-02
7 1823 1807 16 8.854454897620E-03
8 10125 10180 -55 -5.402750491159E-03
9 60862 60666 196 3.230804734118E-03
10 388243 正负间隔
11 2594421 有序
12 18000042
13 128816702
14 946237411
15 7107222817
16 54419854692
17 4.2375176232900000E+11
18 3.3488284253750000E+12
19 2.6815117802694000E+13
20 2.1725307143251900E+14
21 1.7788431326082100E+15
22 1.4704669350033800E+16
23 1.2261389536772500E+17
24 1.0305326135095600E+18
25 8.7243623059595100E+18
26 7.4353700385514600E+19
27 6.3759489274968300E+20
28 5.4987225228911700E+21
29 4.7673416944321000E+22
30 4.1536456072006900E+23
31 3.6356193589104500E+24
32 3.1959073910968900E+25
33 2.8207195591194000E+26
34 2.4990179061163300E+27
35 2.2219063261093900E+28
36 1.9821683902734900E+29
37 1.7739144217309500E+30
38 1.5923098595390800E+31
39 1.4333646272203500E+32
40 1.2937686536145400E+33
41 1.1707625768484600E+34
42 1.0620354634568500E+35
43 9.6564341323345200E+35
44 8.7994441621841300E+36
45 8.0354593446886200E+37
46 7.3526250550172200E+38
47 6.7408128279917600E+39
48 6.1913389602877700E+40
49 5.6967336891625300E+41
50 5.2505510452057900E+42
51 4.8472115683665400E+43
52 4.4818716953283300E+44
53 4.1503148858842700E+45
54 3.8488605410969300E+46
55 3.5742875403438100E+47
56 3.3237698358639100E+48
57 3.0948220285781300E+49
58 2.8852532355621100E+50
59 2.6931278689307900E+51
60 2.5167321944871800E+52
61 2.3545457390238900E+53
62 2.2052167775500400E+54
63 2.0675412636882600E+55
64 1.9404446741225000E+56
65 1.8229663260653600E+57
66 1.7142457990418200E+58

独舟星海 · 发表于 2021-8-19 08:49

10^n 二生L14差等于84的数量实际数量理论-实际误差/实际
2 3 2 1 5.000000000000E-01
3 14 12 2 1.666666666667E-01
4 47 43 4 9.302325581395E-02
5 161 146 15 1.027397260274E-01
6 683 651 32 4.915514592934E-02
7 3402 3369 33 9.795191451469E-03
8 18888 18697 191 1.021554260042E-02
9 113536 113413 123 1.084531755619E-03
10 724250 清一色正
11 4839775
12 33578261
13 240301702
14 1765162879
15 13258201110
16 1.0151776529800000E+11
17 7.9048965118200000E+11
18 6.2470872080640000E+12
19 5.0022383391935000E+13
20 4.0527572961775400E+14
21 3.3183510073745800E+15
22 2.7430892278426700E+16
23 2.2873064844961100E+17
24 1.9224117481105600E+18
25 1.6274901319844500E+19
26 1.3870344835552400E+20
27 1.1894042908385000E+21
28 1.0257616924520600E+22
29 8.8932592336133400E+22
30 7.7484370781598400E+23
31 6.7820826586220400E+24
32 5.9618199695734800E+25
33 5.2619241230118300E+26
34 4.6618043121370000E+27
35 4.1448652556149600E+28
36 3.6976450334920000E+29
37 3.3091567212653700E+30
38 2.9703816652492600E+31
39 2.6738765591419600E+32
40 2.4134666156518500E+33
41 2.1840043706300300E+34
42 1.9811788827395100E+35
43 1.8013638945045800E+36
44 1.6414963109819900E+37
45 1.4989784159364600E+38
46 1.3715987829904900E+39
47 1.2574679930035500E+40
48 1.1549661405918600E+41
49 1.0626997754692300E+42
50 9.7946643134202600E+42
51 9.0422528529892200E+43
52 8.3607279261943000E+44
53 7.7422237689404700E+45
54 7.1798743912099100E+46
55 6.6676709388959100E+47
56 6.2003415483570500E+48
57 5.7732498205839300E+49
58 5.3823087630667700E+50
59 5.0239076245872600E+51
60 4.6948495118979000E+52
61 4.3922980513427500E+53
62 4.1137316613933500E+54
63 3.8569042482620900E+55
64 3.6198113375448700E+56
65 3.4006608191692100E+57
66 3.1978476178489200E+58

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

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