[原创]k生素数群的数量公式

白新岭 · 发表于 2019-7-28 12:33

最密33生素数的最终系数C33(L152)=4583272905629990.0（这是84#第一行所示33生素数的系数）。

白新岭 · 发表于 2019-7-28 12:36

n(10的次幂）最密33生素数的数量
54 4.000000000000000000E+00
55 2.500000000000000000E+01
56 1.400000000000000000E+02
57 7.780000000000000000E+02
58 4.361000000000000000E+03
59 2.467100000000000000E+04
60 1.409070000000000000E+05
61 8.123740000000000000E+05
62 4.726233000000000000E+06
63 2.773860900000000000E+07
64 1.641884430000000000E+08
65 9.798796430000000000E+08
66 5.894736716000000000E+09
67 3.573649732500000000E+10
68 2.182803287820000000E+11
69 1.342999676495000000E+12
70 8.321541619628000000E+12
71 5.191706233554900000E+13
72 3.260697390373290000E+14
73 2.061218911408000000E+15
74 1.311213767774980000E+16
75 8.392364390808270000E+16
76 5.403626203638860000E+17
77 3.499515510528450000E+18
78 2.279220870712370000E+19
79 1.492648427748150000E+20
80 9.827893526686510000E+20
81 6.504840161270500000E+21
82 4.327426903069180000E+22
83 2.893246947252030000E+23
84 1.943800180502790000E+24
85 1.312132410432320000E+25
86 8.898463142784470000E+25
87 6.062011004754420000E+26
88 4.147988142152360000E+27
89 2.850582502358710000E+28
90 1.967264614463890000E+29
91 1.363277135767690000E+30
92 9.485456326912050000E+30
93 6.625929474332510000E+31
94 4.646360733740770000E+32
95 3.270549998908450000E+33
96 2.310658508991390000E+34
97 1.638416387314180000E+35
98 1.165879926019330000E+36
99 8.325165405604280000E+36
100 5.965005658792430000E+37
101 4.288230787459760000E+38
102 3.092900752743860000E+39
103 2.237929760357270000E+40
104 1.624398046456550000E+41
105 1.182708436552850000E+42
106 8.637272154618550000E+42
107 6.326512287823690000E+43
108 4.647472379638630000E+44
109 3.423816875950850000E+45
110 2.529430059830500000E+46
111 1.873833805873850000E+47
112 1.391919513916740000E+48
113 1.036694580315060000E+49

白新岭 · 发表于 2019-7-28 15:46

最密34生素数的最终系数C34(L156)=24059031686564300.0 （这是85#第一行所示的34生素数的系数）

白新岭 · 发表于 2019-7-28 15:49

n(10的次幂）最密34生素数的数量
55 1.000000000000000000E+00
56 5.000000000000000000E+00
57 3.100000000000000000E+01
58 1.730000000000000000E+02
59 9.620000000000000000E+02
60 5.406000000000000000E+03
61 3.065000000000000000E+04
62 1.754060000000000000E+05
63 1.012935000000000000E+06
64 5.900904000000000000E+06
65 3.466866600000000000E+07
66 2.053634480000000000E+08
67 1.226218017000000000E+09
68 7.378478275000000000E+09
69 4.473229123600000000E+10
70 2.731717267100000000E+11
71 1.680040530667000000E+12
72 1.040366115302100000E+13
73 6.485623692109800000E+13
74 4.069457687143890000E+14
75 2.569590818868290000E+15
76 1.632527633244600000E+16
77 1.043411600323930000E+17
78 6.707821816275350000E+17
79 4.336835272632250000E+18
80 2.819468163628620000E+19
81 1.842909455317490000E+20
82 1.210947347323110000E+21
83 7.997882938920910000E+21
84 5.308837650369570000E+22
85 3.541167721518050000E+23
86 2.373373445371670000E+24
87 1.598121619993510000E+25
88 1.081013340925740000E+26
89 7.344879452616280000E+26
90 5.012185356080450000E+27
91 3.434917463628010000E+28
92 2.363804279114400000E+29
93 1.633327883480850000E+30
94 1.133088402333120000E+31
95 7.891251652095700000E+31
96 5.516758420332020000E+32
97 3.871180560816770000E+33
98 2.726407491276210000E+34
99 1.927052286926030000E+35
100 1.366847713356920000E+36
101 9.728370817630130000E+36
102 6.947424250522060000E+37
103 4.977857746228320000E+38
104 3.578229398634010000E+39
105 2.580321386658460000E+40
106 1.866521571594450000E+41
107 1.354316676653270000E+42
108 9.856224162426680000E+42
109 7.194156412944620000E+43
110 5.266288282509750000E+44
111 3.866001043632390000E+45
112 2.845965581651210000E+46
113 2.100806298750470000E+47
114 1.554926972132850000E+48

白新岭 · 发表于 2019-7-28 15:59

最密35生素数的最终系数C35(L158)=115767105107513000.0 （这是86#第一行所示的35生素数的系数）

白新岭 · 发表于 2019-7-28 16:01

n(10的次幂）最密35生素数的数量
57 1.000000000000000000E+00
58 6.000000000000000000E+00
59 3.400000000000000000E+01
60 1.900000000000000000E+02
61 1.060000000000000000E+03
62 5.967000000000000000E+03
63 3.390900000000000000E+04
64 1.944170000000000000E+05
65 1.124450000000000000E+06
66 6.558723000000000000E+06
67 3.857087900000000000E+07
68 2.286409050000000000E+08
69 1.365841051000000000E+09
70 8.220541185000000000E+09
71 4.983805575500000000E+10
72 3.042934615150000000E+11
73 1.870721680414000000E+12
74 1.157786581496100000E+13
75 7.212265853435100000E+13
76 4.521297844933330000E+14
77 2.851871742934670000E+15
78 1.809682999821600000E+16
79 1.155083915257780000E+17
80 7.414784214590280000E+17
81 4.786249393402350000E+18
82 3.106305406635530000E+19
83 2.026690341386540000E+20
84 1.329136400005190000E+21
85 8.760665565200870000E+21
86 5.802811114439030000E+22
87 3.862102072114720000E+23
88 2.582527573020860000E+24
89 1.734824974436420000E+25
90 1.170606657084830000E+26
91 7.933550456085540000E+26
92 5.399873012393830000E+27
93 3.690781407963510000E+28
94 2.532985439379620000E+29
95 1.745374731915360000E+30
96 1.207395441802040000E+31
97 8.384547408789770000E+31
98 5.844460893315500000E+32
99 4.088938550070450000E+33
100 2.871081876752940000E+34
101 2.023102970020900000E+35
102 1.430531087719880000E+36
103 1.014971628487600000E+37
104 7.225352634437390000E+37
105 5.160417276915390000E+38
106 3.697465293300850000E+39
107 2.657605778645370000E+40
108 1.916101789224760000E+41
109 1.385681013824870000E+42
110 1.005079525266670000E+43
111 7.311500489962510000E+43
112 5.334068952197270000E+44
113 3.902424176904240000E+45
114 2.862940768629940000E+46
115 2.106062091806890000E+47
116 1.553425134381700000E+48

白新岭 · 发表于 2019-7-28 16:06

最密36生素数的最终系数C36(L162)=280168623536582000.0 （这是86#第三行所示的36生素数的系数）

白新岭 · 发表于 2019-7-28 16:09

n(10的次幂）最密36生素数的数量
60 3.000000000000000000E+00
61 1.800000000000000000E+01
62 1.020000000000000000E+02
63 5.700000000000000000E+02
64 3.221000000000000000E+03
65 1.834400000000000000E+04
66 1.053600000000000000E+05
67 6.102540000000000000E+05
68 3.563684000000000000E+06
69 2.097665100000000000E+07
70 1.244288070000000000E+08
71 7.436305880000000000E+08
72 4.476647257000000000E+09
73 2.714060401500000000E+10
74 1.656809191970000000E+11
75 1.018194270779000000E+12
76 6.298194398788000000E+12
77 3.920612561845400000E+13
78 2.455683433942510000E+14
79 1.547399110341220000E+15
80 9.807930495917860000E+15
81 6.252210140681760000E+16
82 4.007830671954990000E+17
83 2.583125473737820000E+18
84 1.673727936093290000E+19
85 1.090115190602980000E+20
86 7.136002220414650000E+20
87 4.694413904271880000E+21
88 3.103145459604070000E+22
89 2.060959577377930000E+23
90 1.375109399043320000E+24
91 9.216390372097910000E+24
92 6.204362766747150000E+25
93 4.194734750810190000E+26
94 2.848016270510770000E+27
95 1.941654729607190000E+28
96 1.329092770498230000E+29
97 9.133888389392980000E+29
98 6.301409737753060000E+30
99 4.363821173461160000E+31
100 3.033262635897160000E+32
101 2.116092140046360000E+33
102 1.481525835645760000E+34
103 1.040886836692650000E+35
104 7.338171557995090000E+35
105 5.190791019168340000E+36
106 3.683941056011770000E+37
107 2.622999107153580000E+38
108 1.873542780872420000E+39
109 1.342404753034240000E+40
110 9.647901126910750000E+40
111 6.954845471766080000E+41
112 5.028330812207230000E+42
113 3.646019497146810000E+43
114 2.651249506732500000E+44
115 1.933289778275640000E+45
116 1.413633693322660000E+46
117 1.036453417266020000E+47
118 7.619308746289610000E+47
119 5.615839285654340000E+48

白新岭 · 发表于 2019-7-28 16:13

最密37生素数的最终系数C37(L168)=594556564756802000.0 （这是87#第一行所示的37生素数的系数）

白新岭 · 发表于 2019-7-28 16:16

n(10的次幂）最密37生素数的数量
62 1.000000000000000000E+00
63 8.000000000000000000E+00
64 4.600000000000000000E+01
65 2.620000000000000000E+02
66 1.484000000000000000E+03
67 8.467000000000000000E+03
68 4.870900000000000000E+04
69 2.825150000000000000E+05
70 1.651619000000000000E+06
71 9.730177000000000000E+06
72 5.775365300000000000E+07
73 3.452989110000000000E+08
74 2.079126633000000000E+09
75 1.260529958600000000E+10
76 7.693638705800000000E+10
77 4.726502257030000000E+11
78 2.922156832689000000E+12
79 1.817823496592200000E+13
80 1.137669554251960000E+14
81 7.161946354638570000E+14
82 4.534539846916870000E+15
83 2.887098966782260000E+16
84 1.848237115084230000E+17
85 1.189500583841590000E+18
86 7.695343121318880000E+18
87 5.003742974338770000E+19
88 3.269752031776330000E+20
89 2.147031192193730000E+21
90 1.416505141793730000E+22
91 9.388762820777690000E+22
92 6.251218191698310000E+23
93 4.180653205810420000E+24
94 2.808053219111460000E+25
95 1.894122535041120000E+26
96 1.282961038924970000E+27
97 8.725370161676040000E+27
98 5.957756569059000000E+28
99 4.083896971571330000E+29
100 2.810124968039770000E+30
101 1.940895089238980000E+31
102 1.345463093019030000E+32
103 9.360595970854900000E+32
104 6.535319019800540000E+33
105 4.578594096026060000E+34
106 3.218628702180410000E+35
107 2.270153059130110000E+36
108 1.606415351574060000E+37
109 1.140388100452160000E+38
110 8.121084653164440000E+38
111 5.801189236886970000E+39
112 4.156592425367380000E+40
113 2.987113303995080000E+41
114 2.152964424120580000E+42
115 1.556218514430640000E+43
116 1.128057187553800000E+44
117 8.199687160762270000E+44
118 5.976520772849670000E+45
119 4.367817161879410000E+46
120 3.200558177358470000E+47
121 2.351327606192850000E+48

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