[原创]k生素数群的数量公式

独舟星海 · 发表于 2021-8-19 08:45

10^n 二生L14差等于30的数量实际数量理论-实际误差/实际
2 5 5 0 0.000000000000E+00
3 20 22 -2 -9.090909090909E-02
4 67 66 1 1.515151515152E-02
5 230 241 -11 -4.564315352697E-02
6 977 997 -20 -2.006018054162E-02
7 4860 4890 -30 -6.134969325153E-03
8 26983 27020 -37 -1.369356032568E-03
9 162195 162074 121 7.465725532781E-04
10 1034643
11 6913964
12 47968945
13 343288146
14 2521661256
15 18940287300
16 1.4502537899800000E+11
17 1.1292709302600000E+12
18 8.9244102972340000E+12
19 7.1460547702764000E+13
20 5.7896532802536200E+14
21 4.7405014391065500E+15
22 3.9186988969181100E+16
23 3.2675806921373000E+17
24 2.7463024973008100E+18
25 2.3249859028349200E+19
26 1.9814778336503400E+20
27 1.6991489869121400E+21
28 1.4653738463600900E+22
29 1.2704656048019100E+23
30 1.1069195825942600E+24
31 9.6886895123172100E+24
32 8.5168856708192500E+25
33 7.5170344614454700E+26
34 6.6597204459100000E+27
35 5.9212360794499500E+28
36 5.2823500478457200E+29
37 4.7273667446648100E+30
38 4.2434023789275100E+31
39 3.8198236559170900E+32
40 3.4478094509312100E+33
41 3.1200062437571900E+34
42 2.8302555467707300E+35
43 2.5733769921494100E+36
44 2.3449947299742600E+37
45 2.1413977370520800E+38
46 1.9594268328435500E+39
47 1.7963828471479300E+40
48 1.6499516294169500E+41
49 1.5181425363846100E+42
50 1.3992377590600400E+43
51 1.2917504075698900E+44
52 1.1943897037420400E+45
53 1.1060319669915000E+46
54 1.0256963416014200E+47
55 9.5252441984227300E+47
56 8.8576307833672100E+48
57 8.2474997436913300E+49
58 7.6890125186668100E+50
59 7.1770108922675100E+51
60 6.7069278741398600E+52
61 6.2747115019182100E+53
62 5.8767595162762200E+54
63 5.5098632118029900E+55
64 5.1711590536355300E+56
65 4.8580868845274400E+57
66 4.5683537397841700E+58

独舟星海 · 发表于 2021-8-19 08:45

10^n 二生L14差等于36的数量实际数量理论-实际误差/实际
2 3 4 -1 -2.500000000000E-01
3 13 12 1 8.333333333333E-02
4 44 41 3 7.317073170732E-02
5 153 151 2 1.324503311258E-02
6 651 665 -14 -2.105263157895E-02
7 3240 3265 -25 -7.656967840735E-03
8 17989 17744 245 1.380748422002E-02
9 108130 107837 293 2.717063716535E-03
10 689762
11 4609309
12 31979297
13 228858764
14 1681107504
15 12626858200
16 96683585998
17 7.5284728684000000E+11
18 5.9496068648230000E+12
19 4.7640365135176000E+13
20 3.8597688535024200E+14
21 3.1603342927377000E+15
22 2.6124659312787400E+16
23 2.1783871280915300E+17
24 1.8308683315338700E+18
25 1.5499906018899500E+19
26 1.3209852224335600E+20
27 1.1327659912747600E+21
28 9.7691589757339200E+21
29 8.4697706986793700E+22
30 7.3794638839617500E+23
31 6.4591263415448100E+24
32 5.6779237805461700E+25
33 5.0113563076303200E+26
34 4.4398136306066700E+27
35 3.9474907196333000E+28
36 3.5215666985638100E+29
37 3.1515778297765400E+30
38 2.8289349192850100E+31
39 2.5465491039447200E+32
40 2.2985396339541400E+33
41 2.0800041625047900E+34
42 1.8868370311804800E+35
43 1.7155846614329400E+36
44 1.5633298199828400E+37
45 1.4275984913680600E+38
46 1.3062845552290300E+39
47 1.1975885647652900E+40
48 1.0999677529446300E+41
49 1.0120950242564100E+42
50 9.3282517270669100E+42
51 8.6116693837992600E+43
52 7.9625980249469500E+44
53 7.3735464466099700E+45
54 6.8379756106761000E+46
55 6.3501627989484900E+47
56 5.9050871889114700E+48
57 5.4983331624608800E+49
58 5.1260083457778700E+50
59 4.7846739281783400E+51
60 4.4712852494265800E+52
61 4.1831410012788100E+53
62 3.9178396775174800E+54
63 3.6732421412019900E+55
64 3.4474393690903500E+56
65 3.2387245896849600E+57
66 3.0455691598561200E+58

独舟星海 · 发表于 2021-8-19 08:46

10^n 二生L14差等于42的数量实际数量理论-实际误差/实际
2 1 3 -2 -6.666666666667E-01
3 7 10 -3 -3.000000000000E-01
4 23 25 -2 -8.000000000000E-02
5 80 83 -3 -3.614457831325E-02
6 341 341 0 0.000000000000E+00
7 1701 1654 47 2.841596130593E-02
8 9444 9441 3 3.177629488402E-04
9 56768 56278 490 8.706777070969E-03
10 362125
11 2419887
12 16789130
13 120150851
14 882581439
15 6629100555
16 50758882649
17 3.9524482559100000E+11
18 3.1235436040320000E+12
19 2.5011191695967000E+13
20 2.0263786480887700E+14
21 1.6591755036872900E+15
22 1.3715446139213400E+16
23 1.1436532422480500E+17
24 9.6120587405528200E+17
25 8.1374506599222400E+18
26 6.9351724177761800E+19
27 5.9470214541925000E+20
28 5.1288084622603100E+21
29 4.4466296168066700E+22
30 3.8742185390799200E+23
31 3.3910413293110200E+24
32 2.9809099847867400E+25
33 2.6309620615059200E+26
34 2.3309021560685000E+27
35 2.0724326278074800E+28
36 1.8488225167460000E+29
37 1.6545783606326800E+30
38 1.4851908326246300E+31
39 1.3369382795709800E+32
40 1.2067333078259200E+33
41 1.0920021853150100E+34
42 9.9058944136975400E+34
43 9.0068194725229200E+35
44 8.2074815549099300E+36
45 7.4948920796823000E+37
46 6.8579939149524300E+38
47 6.2873399650177700E+39
48 5.7748307029593200E+40
49 5.3134988773461400E+41
50 4.8973321567101300E+42
51 4.5211264264946100E+43
52 4.1803639630971500E+44
53 3.8711118844702300E+45
54 3.5899371956049500E+46
55 3.3338354694479600E+47
56 3.1001707741785200E+48
57 2.8866249102919600E+49
58 2.6911543815333800E+50
59 2.5119538122936300E+51
60 2.3474247559489500E+52
61 2.1961490256713700E+53
62 2.0568658306966800E+54
63 1.9284521241310500E+55
64 1.8099056687724400E+56
65 1.7003304095846000E+57
66 1.5989238089244600E+58

独舟星海 · 发表于 2021-8-19 08:46

10^n 二生L14差等于48的数量实际数量理论-实际误差/实际
2 1 1 0 0.000000000000E+00
3 6 7 -1 -1.428571428571E-01
4 21 15 6 4.000000000000E-01
5 75 79 -4 -5.063291139241E-02
6 318 312 6 1.923076923077E-02
7 1583 1550 33 2.129032258065E-02
8 8789 8800 -11 -1.250000000000E-03
9 52832 52848 -16 -3.027550711474E-04
10 337020
11 2252127
12 15625212
13 111821305
14 821395831
15 6169533280
16 47239985751
17 3.6784418715900000E+11
18 2.9070016447780000E+12
19 2.3277272423597000E+13
20 1.8858984569107200E+14
21 1.5441519407536100E+15
22 1.2764612741148300E+16
23 1.0643686395091100E+17
24 8.9456956939617900E+17
25 7.5733159038212700E+18
26 6.4543864856796400E+19
27 5.5347398149179900E+20
28 4.7732500408500500E+21
29 4.1383637459359300E+22
30 3.6056354874627900E+23
31 3.1559548933758800E+24
32 2.7742562061643000E+25
33 2.4485686802239300E+26
34 2.1693106485727700E+27
35 1.9287597105900600E+28
36 1.7206515350532600E+29
37 1.5398734980247200E+30
38 1.3822288850637600E+31
39 1.2442540493633100E+32
40 1.1230756331143500E+33
41 1.0162983301127400E+34
42 9.2191609928049300E+34
43 8.3824150836395700E+35
44 7.6384918554717300E+36
45 6.9753031700746900E+37
46 6.3825584393669300E+38
47 5.8514654945084600E+39
48 5.3744863142451400E+40
49 4.9451366569793100E+41
50 4.5578210005469400E+42
51 4.2076960094631700E+43
52 3.8905571546393200E+44
53 3.6027442039704000E+45
54 3.3410621573531400E+46
55 3.1027148718509000E+47
56 2.8852491535564600E+48
57 2.6865075138519700E+49
58 2.5045881233644000E+50
59 2.3378107654774500E+51
60 2.1846878070560100E+52
61 2.0438993781177100E+53
62 1.9142720931460100E+54
63 1.7947607612995500E+55
64 1.6844326262079700E+56
65 1.5824537525098900E+57
66 1.4880772390750000E+58

独舟星海 · 发表于 2021-8-19 08:47

10^n 二生L14差等于54的数量实际数量理论-实际误差/实际
2 3 3 0 0.000000000000E+00
3 13 12 1 8.333333333333E-02
4 42 42 0 0.000000000000E+00
5 144 147 -3 -2.040816326531E-02
6 613 622 -9 -1.446945337621E-02
7 3053 3022 31 1.025810721377E-02
8 16951 17042 -91 -5.339748855768E-03
9 101892 101936 -44 -4.316433840841E-04
10 649968
11 4343387
12 30134337
13 215655374
14 1584120533
15 11898385611
16 91105686806
17 7.0941378952200000E+11
18 5.6063603149290000E+12
19 4.4891882531223000E+13
20 3.6370898811849700E+14
21 2.9780073143105200E+15
22 2.4617467429357300E+16
23 2.0527109476247100E+17
24 1.7252413124069200E+18
25 1.4605680671655300E+19
26 1.2447745365239300E+20
27 1.0674141071627600E+21
28 9.2055536502108100E+21
29 7.9811300814478700E+22
30 6.9537255829639600E+23
31 6.0864844372249100E+24
32 5.3503512547454300E+25
33 4.7222395975747200E+26
34 4.1836705365332100E+27
35 3.7197508704236800E+28
36 3.3183993890312800E+29
37 2.9697560319048200E+30
38 2.6657271354801000E+31
39 2.3996328094863700E+32
40 2.1659315781490900E+33
41 1.9600039223602800E+34
42 1.7779810486123800E+35
43 1.6166086232733500E+36
44 1.4731377149838300E+37
45 1.3452370399429800E+38
46 1.2309219847350500E+39
47 1.1284969167980600E+40
48 1.0365080748901300E+41
49 9.5370492670315300E+41
50 8.7900833581976700E+42
51 8.1148423039646900E+43
52 7.5032173696615500E+44
53 6.9481495362286200E+45
54 6.4434770177524800E+46
55 5.9838072528553100E+47
56 5.5644090818588900E+48
57 5.1811216338573700E+49
58 4.8302770950599200E+50
59 4.5086350477065100E+51
60 4.2133264850365800E+52
61 3.9418059435127200E+53
62 3.6918104653530100E+54
63 3.4613243253634200E+55
64 3.2485486362582200E+56
65 3.0518750941262100E+57
66 2.8698632467874900E+58

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

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