[原创]k生素数群的数量公式

白新岭 · 发表于 2021-5-26 20:00

素式36
8302457
12575753
18717781
19265047
22330621
29159113
38002127
40501343
42275423
44823091
48595321
53319067
55026623
59831423
62815943
63444263
67837753
68810393
71794913
83437517
87273961
88339133
95405293
96770837
102122903
107147021
108879653
109891433
113201401
114213181
115945813
120969931
126321997
127687541
134753701
135818873
139655317
151297921
154282441
155255081
159648571
160276891
163261411
168066211
169773767
174497513
178269743
180817411
182591491
185090707
193933721
200762213
203827787
204375053
210517081
214790377
以以上素数式为固定值+223092870T（223092870是周期值，T是周期数，取任意正整数），则它们以后连续17奇数为合数，无论表达式是否为素数。

白新岭 · 发表于 2021-5-27 11:21

10的n次幂 2倍孪生素数对的数量 15543/560倍最密三生素数的数量
2 2.1000000000000000E+01 1.3400000000000000E+02
3 8.5000000000000000E+01 4.4900000000000000E+02
4 4.2300000000000000E+02 1.6900000000000000E+03
5 2.4920000000000000E+03 7.5100000000000000E+03
6 1.6490000000000000E+04 3.9887000000000000E+04
7 1.1750300000000000E+05 2.3822000000000000E+05
8 8.8073000000000000E+05 1.5399280000000000E+06
9 6.8506110000000000E+06 1.0541315000000000E+07
10 5.4822832000000000E+07 7.5363678000000000E+07
11 4.4873775400000000E+08 5.5759539300000000E+08
12 3.7411199810000000E+09 4.2418675820000000E+09
13 3.1669198750000000E+10 3.3022306367000000E+10
14 2.7156054818900000E+11 2.6211860429700000E+11
15 2.3544171432900000E+12 2.1154521343750000E+12
16 2.0608386505751000E+13 1.7320045466704000E+13
17 1.8189767885037100E+14 1.4359755213520200E+14
18 1.6173519126057300E+15 1.2037885666392300E+15
19 1.4475037106575400E+16 1.0191093276521300E+16
20 1.3030853968928700E+17 8.7037574890805800E+16
21 1.1792599972705000E+18 7.4924647971896300E+17
22 1.0722887652785200E+19 6.4960038411694600E+18
23 9.7924485800636300E+19 5.6687623946287100E+19
24 8.9781050453224500E+20 4.9762776596338200E+20
25 8.2613094582510900E+21 4.3921806495106000E+21
26 7.6270767903820400E+22 3.8960617227504800E+22
27 7.0631936284605700E+23 3.4719561581046300E+23
28 6.5596248323867000E+24 3.1072542110140000E+24
29 6.1080633091541200E+25 2.7919063138484400E+25
30 5.7015847576925300E+26 2.5178364416405500E+26
31 5.3343803107348400E+27 2.2785042457597500E+27
32 5.0015476115657500E+28 2.0685748128305000E+28
33 4.6989261690599100E+29 1.8836671730340400E+29
34 4.4229665799111000E+30 1.7201610417110500E+30
35 4.1706258826518500E+31 1.5750470503885700E+31
36 3.9392832407946700E+32 1.4458097578862500E+32
37 3.7266715630228400E+33 1.3303355845300800E+33
38 3.5308217079207300E+34 1.2268398508127600E+34
39 3.3500166938770300E+35 1.1338085731511100E+35
40 3.1827539147557300E+36 1.0499517415303300E+36
41 3.0277138005171600E+37 9.7416559209798600E+36
42 2.8837336961940800E+38 9.0550197224573600E+37
43 2.7497859891721300E+39 8.4314333255556000E+38
44 2.6249597129980600E+40 7.8638220896200400E+39
45 2.5084450101809100E+41 7.3460430801007900E+40
46 2.3995199571837300E+42 6.8727449865225800E+41
47 2.2975393498647000E+43 6.4392516050813100E+42
48 2.2019251228968700E+44 6.0414645180334800E+43
49 2.1121581366146200E+45 5.6757814834754200E+44
50 2.0277711126784100E+46 5.3390277387449100E+45
51 1.9483425384984700E+47 5.0283979631627400E+46
52 1.8734913914988300E+48 4.7414070747694500E+47
53 1.8028725595721900E+49 4.4758483765448800E+48
54 1.7361728546693100E+50 4.2297578397075600E+49
55 1.6731075333175200E+51 4.0013835299217900E+50
56 1.6134172517073900E+52 3.7891593580239300E+51
57 1.5568653944035400E+53 3.5916824790685700E+52
58 1.5032357251853700E+54 3.4076937789719300E+53
59 1.4523303163731600E+55 3.2360609821789200E+54
60 1.4039677195364600E+56 3.0757639908265900E+55
61 1.3579813459523300E+57 2.9258821291552400E+56
62 1.3142180297695500E+58 2.7855830190701300E+57
63 1.2725367506950900E+59 2.6541128558819300E+58
64 1.2328074962778800E+60 2.5307878890317300E+59
65 1.1949102466208500E+61 2.4149869423800600E+60
66 1.1587340666927400E+62 2.3061448334932000E+61
67 1.1241762934009300E+63 2.2037465721662700E+62
68 1.0911418062852200E+64 2.1073222358911700E+63
69 1.0595423721440300E+65 2.0164424346828100E+64
70 1.0292960551498000E+66 1.9307142900908000E+65
71 1.0003266850795800E+67 1.8497778637281500E+66
72 9.7256337720805300E+67 1.7733029795614500E+67
73 9.4594009820525600E+68 1.7009863917864300E+68
74 9.2039527306896500E+69 1.6325492565742000E+69
75 8.9587142871761100E+70 1.5677348714942900E+70
76 8.7231487038733900E+71 1.5063066511481500E+71
77 8.4967538742725100E+72 1.4480463116035800E+72
78 8.2790598547962500E+73 1.3927522397099500E+73
79 8.0696264237495400E+74 1.3402380263800800E+74
80 7.8680408537186700E+75 1.2903311455213400E+75
81 7.6739158763513400E+76 1.2428717625437000E+76
82 7.4868878207608500E+77 1.1977116583199600E+77
83 7.3066149088300600E+78 1.1547132561630100E+78
84 7.1327756924815000E+79 1.1137487408560600E+79
85 6.9650676195606000E+80 1.0746992600529600E+80
86 6.8032057163753700E+81 1.0374541994844300E+81
87 6.6469213761719200E+82 1.0019105243840400E+82
88 6.4959612439212000E+83 9.6797218040448000E+82
89 6.3500861887650300E+84 9.3554954804591000E+83
90 6.2090703563340400E+85 9.0455894527846200E+84
91 6.0727002939199100E+86 8.7492217362163300E+85
92 5.9407741421707000E+87 8.4656610345517900E+86
93 5.8131008875898000E+88 8.1942229478772000E+87
94 5.6894996706671300E+89 7.9342665010835800E+88
95 5.5697991449601300E+90 7.6851909629972300E+89
96 5.4538368828812400E+91 7.4464329290381200E+90
97 5.3414588243420000E+92 7.2174636430961400E+91
98 5.2325187647571800E+93 6.9977865367813800E+92
99 5.1268778792300400E+94 6.7869349663989800E+93
100 5.0244042800259600E+95 6.5844701299526000E+94
101 4.9249726046990500E+96 6.3899791482235300E+95
102 4.8284636324689100E+97 6.2030732955272100E+96
103 4.7347639266545500E+98 6.0233863671398900E+97
104 4.6437655011622200E+99 5.8505731716316300E+98
105 4.5553655091952200E+100 5.6843081374565900E+99
106 4.4694659525097300E+101 5.5242840241506300E+100
107 4.3859734096810400E+102 5.3702107293835400E+101
108 4.3047987819729500E+103 5.2218141839195000E+102
109 4.2258570555188100E+104 5.0788353272643600E+103
110 4.1490670786287700E+105 4.9410291574320000E+104
111 4.0743513531333300E+106 4.8081638488501200E+105
112 4.0016358387613000E+107 4.6800199329575800E+106
113 3.9308497696298000E+108 4.5563895365247900E+107
114 3.8619254819966400E+109 4.4370756731625300E+108
115 3.7947982524922000E+110 4.3218915838768000E+109
116 3.7294061461082400E+111 4.2106601228829000E+110
117 3.6656898732769000E+112 4.1032131852138900E+111
118 3.6035926554240000E+113 3.9993911729508100E+112
119 3.5430600984269900E+114 3.8990424971675600E+113
120 3.4840400734510600E+115 3.8020231129241800E+114
121 3.4264826046756700E+116 3.7081960848619800E+115
122 3.3703397634599300E+117 3.6174311811532000E+116
123 3.3155655685282600E+118 3.5296044937400200E+117
124 3.2621158917880700E+119 3.4445980829634600E+118
125 3.2099483694191700E+120 3.3622996448339100E+119
126 3.1590223179004100E+121 3.2826021993333400E+120
127 3.1092986546626200E+122 3.2054037982651500E+121
128 3.0607398230788300E+123 3.1306072512834700E+122
129 3.0133097215230200E+124 3.0581198688389600E+123
130 2.9669736362469600E+125 2.9878532208749300E+124
131 2.9216981778422200E+126 2.9197229101966000E+125
132 2.8774512210701900E+127 2.8536483595170000E+126
133 2.8342018478573900E+128 2.7895526112582000E+127
134 2.7919202932674800E+129 2.7273621392545500E+128
135 2.7505778942734000E+130 2.6670066715678800E+129
136 2.7101470411651300E+131 2.6084190236822700E+130
137 2.6706011314392000E+132 2.5515349413994200E+131
138 2.6319145260261200E+133 2.4962929528044100E+132
139 2.5940625077212700E+134 2.4426342287170300E+133
140 2.5570212416933200E+135 2.3905024510853100E+134
141 2.5207677379524700E+136 2.3398436888163900E+135
142 2.4852798156680300E+137 2.2906062805750800E+136
143 2.4505360692319400E+138 2.2427407241134800E+137
144 2.4165158359713800E+139 2.1961995717249100E+138
145 2.3831991654193800E+140 2.1509373314435900E+139
146 2.3505667900581800E+141 2.1069103736371800E+140
147 2.3186000974551500E+142 2.0640768426633200E+141
148 2.2872811037162100E+143 2.0223965732832900E+142
149 2.2565924281857200E+144 1.9818310115467400E+143
150 2.2265172693267300E+145 1.9423431398799500E+144
151 2.1970393817188200E+146 1.9038974061282700E+145
152 2.1681430541149000E+147 1.8664596563192700E+146
153 2.1398130885015100E+148 1.8299970709286800E+147
154 2.1120347801106000E+149 1.7944781044451200E+148
155 2.0847938983335900E+150 1.7598724280427100E+149
156 2.0580766684915700E+151 1.7261508751830000E+150
157 2.0318697544179900E+152 1.6932853899788400E+151
158 2.0061602418127000E+153 1.6612489781634100E+152
159 1.9809356223284900E+154 1.6300156605175300E+153
160 1.9561837783537200E+155 1.5995604286174000E+154
161 1.9318929684561900E+156 1.5698592027735500E+155
162 1.9080518134558000E+157 1.5408887920396600E+156
163 1.8846492830951500E+158 1.5126268561773700E+157
164 1.8616746832787800E+159 1.4850518694701100E+158
165 1.8391176438535900E+160 1.4581430862853900E+159
166 1.8169681069044600E+161 1.4318805082912200E+160
167 1.7952163155401400E+162 1.4062448532375800E+161
168 1.7738528031463400E+163 1.3812175252196100E+162
169 1.7528683830837500E+164 1.3567805863437300E+163
170 1.7322541388101600E+165 1.3329167297227300E+164
171 1.7120014144066800E+166 1.3096092537300800E+165
172 1.6921018054895500E+167 1.2868420374478000E+166
173 1.6725471504894000E+168 1.2645995172459800E+167
174 1.6533295222813100E+169 1.2428666644356800E+168
175 1.6344412201495300E+170 1.2216289639400600E+169
176 1.6158747620716600E+171 1.2008723939319200E+170
177 1.5976228773079000E+172 1.1805834063887400E+171
178 1.5796784992816100E+173 1.1607489085187100E+172
179 1.5620347587381700E+174 1.1413562450144700E+173
180 1.5446849771698900E+175 1.1223931810929800E+174
181 1.5276226604949800E+176 1.1038478862826900E+175
182 1.5108414929796700E+177 1.0857089189212400E+176
183 1.4943353313926700E+178 1.0679652113286700E+177
184 1.4780981993820100E+179 1.0506060556233700E+178
185 1.4621242820644900E+180 1.0336210901495000E+179
186 1.4464079208187600E+181 1.0170002864864200E+180
187 1.4309436082732100E+182 1.0007339370122100E+181
188 1.4157259834804300E+183 9.8481264299476400E+181
189 1.4007498272703700E+184 9.6922730318552400E+182
190 1.3860100577745400E+185 9.5396910289202800E+183
191 1.3715017261143600E+186 9.3902950350680600E+184
192 1.3572200122464600E+187 9.2440023247129200E+185
193 1.3431602209588000E+188 9.1007327365453100E+186
194 1.3293177780110900E+189 8.9604085812748600E+187
195 1.3156882264137800E+190 8.8229545531474200E+188
196 1.3022672228398700E+191 8.6882976450633400E+189
197 1.2890505341642200E+192 8.5563670671327600E+190
198 1.2760340341250900E+193 8.4270941685123500E+191
199 1.2632137001031700E+194 8.3004123623753800E+192
200 1.2505856100132600E+195 8.1762570538744500E+193
201 1.2381459393041800E+196 8.0545655709634900E+194
202 1.2258909580625800E+197 7.9352770979517500E+195
203 1.2138170282166600E+198 7.8183326116690900E+196
204 1.2019206008357100E+199 7.7036748201277400E+197
205 1.1901982135219600E+200 7.5912481035711000E+198
206 1.1786464878908900E+201 7.4809984578057600E+199
207 1.1672621271368400E+202 7.3728734397174800E+200
208 1.1560419136804700E+203 7.2668221148772000E+201
209 1.1449827068949800E+204 7.1627950071469800E+202
210 1.1340814409081200E+205 7.0607440502007800E+203
211 1.1233351224770900E+206 6.9606225408781800E+204
212 1.1127408289336100E+207 6.8623850942938600E+205
213 1.1022957061964400E+208 6.7659876006285100E+206
214 1.0919969668490200E+209 6.6713871835308800E+207
215 1.0818418882794800E+210 6.5785421600635300E+208
216 1.0718278108811500E+211 6.4874120021282800E+209
217 1.0619521363109000E+212 6.3979572993099800E+210
218 1.0522123258034700E+213 6.3101397230803800E+211
219 1.0426058985397200E+214 6.2239219923062100E+212
220 1.0331304300666600E+215 6.1392678400083000E+213
221 1.0237835507676300E+216 6.0561419813209500E+214
222 1.0145629443806400E+217 5.9745100826029500E+215
223 1.0054663465631700E+218 5.8943387316539500E+216
224 9.9649154350194600E+218 5.8155954089918900E+217
225 9.8763637056578600E+219 5.7382484601490200E+218
226 9.7889871100028600E+220 5.6622670689462700E+219
227 9.7027649466268500E+221 5.5876212317070700E+220
228 9.6176769679558100E+222 5.5142817323737400E+221
229 9.5337033683812000E+223 5.4422201184910400E+222
230 9.4508247727335500E+224 5.3714086780230400E+223
231 9.3690222251052300E+225 5.3018204169708900E+224
232 9.2882771780103700E+226 5.2334290377605000E+225
233 9.2085714818704400E+227 5.1662089183705300E+226
234 9.1298873748141500E+228 5.1001350921722500E+227
235 9.0522074727812100E+229 5.0351832284539200E+228
236 8.9755147599195100E+230 4.9713296136039700E+229
237 8.8997925792658100E+231 4.9085511329277100E+230
238 8.8250246237005600E+232 4.8468252530738200E+231
239 8.7511949271674400E+233 4.7861300050477600E+232
240 8.6782878561490400E+234 4.7264439677899500E+233
241 8.6062881013900600E+235 4.6677462522978900E+234
242 8.5351806698597500E+236 4.6100164862719400E+235
243 8.4649508769459600E+237 4.5532347992653600E+236
244 8.3955843388730300E+238 4.4973818083201500E+237
245 8.3270669653362200E+239 4.4424386040708500E+238
246 8.2593849523456900E+240 4.3883867372992100E+239
247 8.1925247752733000E+241 4.3352082059233200E+240
248 8.1264731820955000E+242 4.2828854424055100E+241
249 8.0612171868262500E+243 4.2314013015639300E+242
250 7.9967440631337000E+244 4.1807390487731900E+243
251 7.9330413381348300E+245 4.1308823485403300E+244
252 7.8700967863625300E+246 4.0818152534426100E+245
253 7.8078984238994100E+247 4.0335221934142900E+246
254 7.7464345026733600E+248 3.9859879653701100E+247
255 7.6856935049095700E+249 3.9391977231535800E+248
256 7.6256641377343100E+250 3.8931369677987300E+249
跨度36的二生相邻素数的数量计算过程

白新岭 · 发表于 2021-5-27 11:29

10的n次幂 592204/2457倍最密4生素数的数量 391649/576倍最密五生素数的数量
2 2.2200000000000000E+02 0.0000000000000000E+00
3 8.7800000000000000E+02 7.5500000000000000E+02
4 2.8380000000000000E+03 2.4930000000000000E+03
5 9.7180000000000000E+03 6.9260000000000000E+03
6 4.1212000000000000E+04 2.3665000000000000E+04
7 2.0501200000000000E+05 9.7712000000000000E+04
8 1.1381650000000000E+06 4.6333700000000000E+05
9 6.8413750000000000E+06 2.4379260000000000E+06
10 4.3641036000000000E+07 1.3851794000000000E+07
11 2.9162955900000000E+08 8.3516364000000000E+07
12 2.0233200120000000E+09 5.2809339000000000E+08
13 1.4479821681000000E+10 3.4726331460000000E+09
14 1.0636314031500000E+11 2.3598293386000000E+10
15 7.9889732625700000E+11 1.6491762707100000E+11
16 6.1171399190350000E+12 1.1807365618770000E+12
17 4.7632409821033000E+13 8.6337150187740000E+12
18 3.7642974533218500E+14 6.4313864010368000E+13
19 3.0141908403051600E+15 4.8704003150580900E+14
20 2.4420635507119300E+16 3.7429627754131200E+15
21 1.9995335154219200E+17 2.9148167262594900E+16
22 1.6528989352467000E+18 2.2972048891094100E+17
23 1.3782586488372600E+19 1.8302276504239700E+18
24 1.1583846049574900E+20 1.4727002856035800E+19
25 9.8067415342417800E+20 1.1958223267144000E+20
26 8.3578317385685500E+21 9.7914007805781600E+20
27 7.1669746136947800E+22 8.0792050848210800E+21
28 6.1809159981437600E+23 6.7141214770371800E+22
29 5.3587971433481300E+24 5.6167420322227400E+23
30 4.6689634687490200E+25 4.7277614324401100E+24
31 4.0866688153661500E+26 4.0024276746891500E+25
32 3.5924044248427400E+27 3.4066441283376200E+26
33 3.1706692921233600E+28 2.9141980358033600E+27
34 2.8090560473381900E+29 2.5047674507423100E+28
35 2.4975648980748100E+30 2.1624726880237500E+29
36 2.2280841165294000E+31 1.8748130049197700E+30
37 1.9939933289904900E+32 1.6318787430805800E+31
38 1.7898581795781100E+33 1.4257624203946100E+32
39 1.6111935669926100E+34 1.2501148733779200E+33
40 1.4542787594269200E+35 1.0998080971455200E+34
41 1.3160120575543800E+36 9.7067723279938800E+34
42 1.1937958242753800E+37 8.5932173418511600E+35
43 1.0854449913611200E+38 7.6295111826146400E+36
44 9.8911383453878500E+38 6.7926454416838900E+37
45 9.0323705204723800E+39 6.0635623551389200E+38
46 8.2648210819362500E+40 5.4264077351852400E+39
47 7.5771049867634200E+41 4.8679376330985300E+40
48 6.9594611967167400E+42 4.3770446382317400E+41
49 6.4034932204572600E+43 3.9443778036692900E+42
50 5.9019553758678100E+44 3.5620362379820700E+43
51 5.4485759928019700E+45 3.2233209564397600E+44
52 5.0379105961355400E+46 2.9225330344409800E+45
53 4.6652195248449000E+47 2.6548087340254000E+46
54 4.3263655501900100E+48 2.4159842879353200E+47
55 4.0177279264604700E+49 2.2024845767952700E+48
56 3.7361299951242400E+50 2.0112311359894200E+49
57 3.4787780085670800E+51 1.8395658633802800E+50
58 3.2432092741797800E+52 1.6851875297167700E+51
59 3.0272480673145300E+53 1.5460987675235000E+52
60 2.8289680410660600E+54 1.4205616670744700E+53
61 2.6466600862489200E+55 1.3070604668243900E+54
62 2.4788047774717400E+56 1.2042701111028300E+55
63 2.3240486895552400E+57 1.1110296758623400E+56
64 2.1811839895297000E+58 1.0263198460753300E+57
65 2.0491308084646500E+59 9.4924377549120200E+57
66 1.9269219786848400E+60 8.7901077828827200E+58
67 1.8136897888966600E+61 8.1492239845840200E+59
68 1.7086544650848100E+62 7.5636048107578500E+60
69 1.6111141308982500E+63 7.0277693349330100E+61
70 1.5204360393614300E+64 6.5368491679997400E+62
71 1.4360488995169000E+65 6.0865125079889900E+63
72 1.3574361481586900E+66 5.6728985110797500E+64
73 1.2841300390674800E+67 5.2925604616912200E+65
74 1.2157064408529900E+68 4.9424164611601600E+66
75 1.1517802502553200E+69 4.6197065551331200E+67
76 1.0920013410508800E+70 4.3219553868177500E+68
77 1.0360509799597400E+71 4.0469396026247300E+69
78 9.8363865049447400E+71 3.7926593533524000E+70
79 9.3449923380422300E+72 3.5573133318749200E+71
80 8.8839050247982400E+73 3.3392768705179600E+72
81 8.4509088918777900E+74 3.1370826905883000E+73
82 8.0439749705002400E+75 2.9494039550297300E+74
83 7.6612432301499200E+76 2.7750393246930400E+75
84 7.3010066918349500E+77 2.6128997607017600E+76
85 6.9616972025254300E+78 2.4619968510850500E+77
86 6.6418726799893000E+79 2.3214324702410200E+78
87 6.3402056610720600E+80 2.1903896057261500E+79
88 6.0554730070844100E+81 2.0681242090359300E+80
89 5.7865466378333500E+82 1.9539579460292400E+81
90 5.5323851813480000E+83 1.8472717389419500E+82
91 5.2920264398462200E+84 1.7475000059398900E+83
92 5.0645805842416400E+85 1.6541255162213200E+84
93 4.8492239997462800E+86 1.5666747890806200E+85
94 4.6451937140839100E+87 1.4847139743328400E+86
95 4.4517823476709300E+88 1.4078451592759200E+87
96 4.2683335319934400E+89 1.3357030541095600E+88
97 4.0942377484402200E+90 1.2679520135817900E+89
98 3.9289285451520200E+91 1.2042833577233900E+90
99 3.7718790941125600E+92 1.1444129589608900E+91
100 3.6225990548178300E+93 1.0880790667629200E+92
101 3.4806317144878600E+94 1.0350403443490500E+93
102 3.3455513779910200E+95 9.8507409494082000E+93
103 3.2169609834862000E+96 9.3797465761874700E+94
104 3.0944899223008400E+97 8.9355195511510300E+95
105 2.9777920437899000E+98 8.5163017786140700E+96
106 2.8665438278995900E+99 8.1204659035893600E+97
107 2.7604427099177600E+100 7.7465044748011100E+98
108 2.6592055434579000E+101 7.3930200966563100E+99
109 2.5625671891183400E+102 7.0587164717975700E+100
110 2.4702792175016900E+103 6.7423902464411300E+101
111 2.3821087163902700E+104 6.4429235800616100E+102
112 2.2978371928660100E+105 6.1592773692724600E+103
113 2.2172595620515300E+106 5.8904850630977700E+104
114 2.1401832149446500E+107 5.6356470133514800E+105
115 2.0664271585323200E+108 5.3939253096338400E+106
116 1.9958212220097500E+109 5.1645390536073400E+107
117 1.9282053235061400E+110 4.9467600318028600E+108
118 1.8634287922352700E+111 4.7399087502956300E+109
119 1.8013497414551200E+112 4.5433507982390900E+110
120 1.7418344880397400E+113 4.3564935105031900E+111
121 1.6847570148449500E+114 4.1787829025758900E+112
122 1.6299984723906800E+115 4.0097008534936300E+113
123 1.5774467166911100E+116 3.8487625149002900E+114
124 1.5269958803423400E+117 3.6955139264271600E+115
125 1.4785459742296400E+118 3.5495298194643100E+116
126 1.4320025174445800E+119 3.4104115930798200E+117
127 1.3872761932093900E+120 3.2777854473597700E+118
128 1.3442825287935500E+121 3.1513006608052900E+119
129 1.3029415975781400E+122 3.0306279996513900E+120
130 1.2631777415780600E+123 2.9154582480787400E+121
131 1.2249193128731900E+124 2.8055008492880400E+122
132 1.1880984325274700E+125 2.7004826483077000E+123
133 1.1526507656916500E+126 2.6001467282191600E+124
134 1.1185153116912700E+127 2.5042513322209200E+125
135 1.0856342079989000E+128 2.4125688646174800E+126
136 1.0539525470774400E+129 2.3248849644230300E+127
137 1.0234182051625000E+130 2.2409976458156700E+128
138 9.9398168212512100E+130 2.1607165001740200E+129
139 9.6559595162404600E+131 2.0838619548772200E+130
140 9.3821632081790700E+132 2.0102645844581900E+131
141 9.1180029896459600E+133 1.9397644700710200E+132
142 8.8630747428655300E+134 1.8722106035709500E+133
143 8.6169939852825700E+135 1.8074603328127000E+134
144 8.3793947867569000E+136 1.7453788450525100E+135
145 8.1499287534742700E+137 1.6858386855945600E+136
146 7.9282640740376000E+138 1.6287193090545900E+137
147 7.7140846235388000E+139 1.5739066608260200E+138
148 7.5070891217218800E+140 1.5212927865272800E+139
149 7.3069903416328900E+141 1.4707754673864700E+140
150 7.1135143654146800E+142 1.4222578796809100E+141
151 6.9263998841464500E+143 1.3756482764974400E+142
152 6.7453975388503600E+144 1.3308596902146200E+143
153 6.5702692999935600E+145 1.2878096542324500E+144
154 6.4007878830028700E+146 1.2464199425883500E+145
155 6.2367361974849100E+147 1.2066163262032800E+146
156 6.0779068280055800E+148 1.1683283445966900E+147
157 5.9241015444324500E+149 1.1314890919975500E+148
158 5.7751308399815600E+150 1.0960350168589400E+149
159 5.6308134952378400E+151 1.0619057338581100E+150
160 5.4909761665365300E+152 1.0290438475319500E+151
161 5.3554529972026000E+153 9.9739478676061000E+151
162 5.2240852502463600E+154 9.6690664936986200E+152
163 5.0967209612074600E+155 9.3753005617571900E+153
164 4.9732146099268100E+156 9.0921801384414900E+154
165 4.8534268101065300E+157 8.8192578598373400E+155
166 4.7372240155933300E+158 8.5561077193081700E+156
167 4.6244782423902000E+159 8.3023239272523100E+157
168 4.5150668054661600E+160 8.0575198381013500E+158
169 4.4088720694940100E+161 7.8213269402235300E+159
170 4.3057812127017600E+162 7.5933939046992800E+160
171 4.2056860030757900E+163 7.3733856892161800E+161
172 4.1084825862019500E+164 7.1609826935904800E+162
173 4.0140712840760200E+165 6.9558799636620100E+163
174 3.9223564042570400E+166 6.7577864405320200E+164
175 3.8332460587759600E+167 6.5664242523190400E+165
176 3.7466519922487800E+168 6.3815280457991300E+166
177 3.6624894186772400E+169 6.2028443554736000E+167
178 3.5806768664518600E+170 6.0301310077716300E+168
179 3.5011360311019100E+171 5.8631565582473900E+169
180 3.4237916353643800E+172 5.7016997597729400E+170
181 3.3485712961700400E+173 5.5455490598593300E+171
182 3.2754053981686700E+174 5.3945021253606300E+172
183 3.2042269734382700E+175 5.2483653929288400E+173
184 3.1349715870440500E+176 5.1069536436933800E+174
185 3.0675772281329000E+177 4.9700896007368800E+175
186 3.0019842062672600E+178 4.8376035480304900E+176
187 2.9381350527200600E+179 4.7093329695768600E+177
188 2.8759744264681000E+180 4.5851222075882500E+178
189 2.8154490246367500E+181 4.4648221386011500E+179
190 2.7565074971631100E+182 4.3482898664973700E+180
191 2.6991003654577900E+183 4.2353884314660100E+181
192 2.6431799448583900E+184 4.1259865340004500E+182
193 2.5887002706792100E+185 4.0199582730802500E+183
194 2.5356170276728300E+186 3.9171828977403400E+184
195 2.4838874827295800E+187 3.8175445712781900E+185
196 2.4334704206506100E+188 3.7209321473953900E+186
197 2.3843260828392500E+189 3.6272389576126400E+187
198 2.3364161087643100E+190 3.5363626093365800E+188
199 2.2897034800565600E+191 3.4482047939945200E+189
200 2.2441524671074200E+192 3.3626711046874900E+190
201 2.1997285780463000E+193 3.2796708628447800E+191
202 2.1563985099790500E+194 3.1991169533936900E+192
203 2.1141301023770900E+195 3.1209256679864800E+193
204 2.0728922925121200E+196 3.0450165558535200E+194
205 2.0326550728372200E+197 2.9713122818763800E+195
206 1.9933894502203300E+198 2.8997384914984900E+196
207 1.9550674069410700E+199 2.8302236821125200E+197
208 1.9176618633666400E+200 2.7626990805847100E+198
209 1.8811466422266900E+201 2.6970985265954400E+199
210 1.8454964344116600E+202 2.6333583614937700E+200
211 1.8106867662224300E+203 2.5714173223805000E+201
212 1.7766939680035200E+204 2.5112164411505800E+202
213 1.7434951440949500E+205 2.4526989482404500E+203
214 1.7110681440414700E+206 2.3958101808404900E+204
215 1.6793915350011600E+207 2.3404974953455300E+205
216 1.6484445752979100E+208 2.2867101838293800E+206
217 1.6182071890654700E+209 2.2343993943406300E+207
218 1.5886599419331800E+210 2.1835180548285800E+208
219 1.5597840177060800E+211 2.1340208005179300E+209
220 1.5315611959944200E+212 2.0858639045613400E+210
221 1.5039738307497500E+213 2.0390052118076000E+211
222 1.4770048296670600E+214 1.9934040755322800E+212
223 1.4506376344142300E+215 1.9490212969856700E+213
224 1.4248562016520700E+216 1.9058190676207400E+214
225 1.3996449848099800E+217 1.8637609138707700E+215
226 1.3749889165838800E+218 1.8228116443537300E+216
227 1.3508733921249200E+219 1.7829372993863500E+217
228 1.3272842528886200E+220 1.7441051026973300E+218
229 1.3042077711157900E+221 1.7062834152348100E+219
230 1.2816306349180000E+222 1.6694416909685300E+220
231 1.2595399339413700E+223 1.6335504345923900E+221
232 1.2379231455840200E+224 1.5985811610378900E+222
233 1.2167681217434300E+225 1.5645063567135900E+223
234 1.1960630760712400E+226 1.5312994423899000E+224
235 1.1757965717138600E+227 1.4989347376527100E+225
236 1.1559575095186400E+228 1.4673874268533900E+226
237 1.1365351166857400E+229 1.4366335264858700E+227
238 1.1175189358473600E+230 1.4066498539255200E+228
239 1.0988988145562700E+231 1.3774139974674900E+229
240 1.0806648951668300E+232 1.3489042876052500E+230
241 1.0628076050921900E+233 1.3210997694932900E+231
242 1.0453176474223200E+234 1.2939801765402400E+232
243 1.0281859918878700E+235 1.2675259050818100E+233
244 1.0114038661560000E+236 1.2417179900850500E+234
245 9.9496274744449200E+236 1.2165380818379300E+235
246 9.7885435444134400E+237 1.1919684235805000E+236
247 9.6307063951756600E+238 1.1679918300359500E+237
248 9.4760378122132300E+239 1.1445916668018600E+238
249 9.3244617704222900E+240 1.1217518305640000E+239
250 9.1759043643502100E+241 1.0994567300965300E+240
251 9.0302937409231800E+242 1.0776912680145300E+241
252 8.8875600345662300E+243 1.0564408232461200E+242
253 8.7476353046215500E+244 1.0356912341931000E+243
254 8.6104534749749600E+245 1.0154287825504700E+244
255 8.4759502758044100E+246 9.9564017775663700E+244
256 8.3440631873677000E+247 9.7631254204727100E+245
跨度36的二生相邻素数的数量计算过程。

白新岭 · 发表于 2021-5-27 12:09

10的n次幂 125544/77倍最密六生素数的数量 155981/120倍最密七生素数的数量
2 0.0000000000000000E+00 0.0000000000000000E+00
3 2.5900000000000000E+02 0.0000000000000000E+00
4 1.1900000000000000E+03 3.0100000000000000E+02
5 2.8820000000000000E+03 6.9200000000000000E+02
6 8.1700000000000000E+03 1.7050000000000000E+03
7 2.8155000000000000E+04 5.0030000000000000E+03
8 1.1342500000000000E+05 1.7094000000000000E+04
9 5.2031400000000000E+05 6.8078000000000000E+04
10 2.6270320000000000E+06 3.0453300000000000E+05
11 1.4271009000000000E+07 1.4877270000000000E+06
12 8.2173520000000000E+07 7.7921280000000000E+06
13 4.9623476400000000E+08 4.3183243000000000E+07
14 3.1184062820000000E+09 2.5083029700000000E+08
15 2.0271279425000000E+10 1.5161575820000000E+09
16 1.3567535980700000E+11 9.4839531690000000E+09
17 9.3145646695700000E+11 6.1120162485000000E+10
18 6.5393769289830000E+12 4.0435208842600000E+11
19 4.6829793661060000E+13 2.7379079578370000E+12
20 3.4134910731518100E+14 1.8926845431241000E+13
21 2.5280527301219900E+15 1.3329744497238800E+14
22 1.8994077872384300E+16 9.5470221293863000E+14
23 1.4458438514253900E+17 6.9429477584429800E+15
24 1.1137764174127200E+18 5.1199598613640200E+16
25 8.6738819090883200E+18 3.8240793307838500E+17
26 6.8231677666339000E+19 2.8898673639146000E+18
27 5.4172437446604100E+20 2.2076228773559200E+19
28 4.3380149705404900E+21 1.7034033064604900E+20
29 3.5015229628206300E+22 1.3266101600067800E+21
30 2.8473243207011700E+23 1.0421317467033600E+22
31 2.3313945617338400E+24 8.2528484623194000E+22
32 1.9213182686193000E+25 6.5850648156723100E+23
33 1.5929848943932500E+26 5.2915830130375000E+24
34 1.3282903260859400E+27 4.2804930813732000E+25
35 1.1135192569766300E+28 3.4842911674645100E+26
36 9.3819416354577000E+28 2.8529360179248000E+27
37 7.9424782376147200E+29 2.3490058455227900E+28
38 6.7542264509412300E+30 1.9442842868305600E+29
39 5.7683063730319300E+31 1.6173296390813200E+30
40 4.9462827735038600E+32 1.3517278089470800E+31
41 4.2577430202670500E+33 1.1348254317567600E+32
42 3.6784787887068300E+34 9.5680340743323800E+32
43 3.1891110083750800E+35 8.0999393992640300E+33
44 2.7740427424332600E+36 6.8837323976340200E+34
45 2.4206564987012200E+37 5.8718197459709300E+35
46 2.1186950247016900E+38 5.0263933707953000E+36
47 1.8597807662769900E+39 4.3172622092886900E+37
48 1.6370407928525300E+40 3.7201976912989600E+38
49 1.4448124333431100E+41 3.2156636484096800E+39
50 1.2784110407344300E+42 2.7878357314389100E+40
51 1.1339458504904000E+43 2.4238401843273600E+41
52 1.0081732689576700E+44 2.1131597923881400E+42
53 8.9837944285737400E+44 1.8471679499301900E+43
54 8.0228584855199400E+45 1.6187614438726700E+44
55 7.1797306476668900E+46 1.4220696905245900E+45
56 6.4381897420583400E+47 1.2522234771351900E+46
57 5.7844846511151200E+48 1.1051702378903400E+47
58 5.2069233716687100E+49 9.7752588824795300E+47
59 4.6955360443116500E+50 8.6645550719279600E+48
60 4.2417976623328300E+51 7.6957688019517000E+49
61 3.8383991129643300E+52 6.8488223274315300E+50
62 3.4790575044364800E+53 6.1067449579224500E+51
63 3.1583585384546400E+54 5.4551522482314600E+52
64 2.8716251113922800E+55 4.8818189890447800E+53
65 2.6148074542064100E+56 4.3763279676557100E+54
66 2.3843910162168200E+57 3.9297801465084800E+55
67 2.1773190117076800E+58 3.5345547927871700E+56
68 1.9909271195955300E+59 3.1841103650556700E+57
69 1.8228882852260800E+60 2.8728187598399300E+58
70 1.6711659431060100E+61 2.5958269468579800E+59
71 1.5339742783184200E+62 2.3489411569696300E+60
72 1.4097443868423500E+63 2.1285296940988100E+61
73 1.2970953922735900E+64 1.9314411696466600E+62
74 1.1948097374338400E+65 1.7549355428239100E+63
75 1.1018120011154400E+66 1.5966258222253600E+64
76 1.0171506983531300E+67 1.4544286658431500E+65
77 9.3998261162052800E+67 1.3265224266549100E+66
78 8.6955927379949000E+68 1.2113114432026600E+67
79 8.0521528454350200E+69 1.1073955804989500E+68
80 7.4635819206642900E+70 1.0135441951355100E+69
81 6.9245971430637000E+71 9.2867383677756100E+69
82 6.4304810835517300E+72 8.5182911202028700E+70
83 5.9770152623720000E+73 7.8216623044219300E+71
84 5.5604221956739000E+74 7.1893883029638600E+72
85 5.1773147613604000E+75 6.6148574560159600E+73
86 4.8246518872475300E+76 6.0922042982908900E+74
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白新岭 · 发表于 2021-5-27 12:15

10的n次幂 47309/81倍最密八生素数的数量 4151/30倍最密九生素数的数量
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白新岭 · 发表于 2021-5-27 12:23

10的n次幂 758/35倍最密十生素数的数量 2倍最密十一生素数的数量
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196 1.0772014799177500E+174 3.9682583296861700E+170
197 1.0236351933398800E+175 3.7517414761554500E+171
198 9.7298444467478100E+175 3.5480484150465700E+172
199 9.2507697369950500E+176 3.3563603828341800E+173
200 8.7975149190931000E+177 3.1759146369972400E+174
201 8.3685693362303200E+178 3.0060003692254100E+175
202 7.9625176159042600E+179 2.8459549350934600E+176
203 7.5780332289108300E+180 2.6951603742915000E+177
204 7.2138725125838200E+181 2.5530401977347500E+178
205 6.8688691227636400E+182 2.4190564199093300E+179
206 6.5419288818475000E+183 2.2927068166603300E+180
207 6.2320249929023200E+184 2.1735223903119500E+181
208 5.9381935922275800E+185 2.0610650255426600E+182
209 5.6595296149580800E+186 1.9549253208350900E+183
210 5.3951829503137800E+187 1.8547205815935500E+184
211 5.1443548649527700E+188 1.7600929621829200E+185
212 4.9062946745781500E+189 1.6707077452018700E+186
213 4.6802966455036400E+190 1.5862517472699700E+187
214 4.4656971093088100E+191 1.5064318414909100E+188
215 4.2618717750235700E+192 1.4309735875604600E+189
216 4.0682332244833300E+193 1.3596199612243400E+190
217 3.8842285776002100E+194 1.2921301754652500E+191
218 3.7093373153102000E+195 1.2282785864141400E+192
219 3.5430692488886200E+196 1.1678536775450000E+193
220 3.3849626251842400E+197 1.1106571162280900E+194
221 3.2345823581113100E+198 1.0565028771898200E+195
222 3.0915183774653200E+199 1.0052164278600100E+196
223 2.9553840867967700E+200 9.5663397098445700E+196
224 2.8258149226935400E+201 9.1060174024451300E+197
225 2.7024670083898200E+202 8.6697534495932800E+198
226 2.5850158951428700E+203 8.2561916025253400E+199
227 2.4731553853012700E+204 7.8640575934646500E+200
228 2.3665964314333700E+205 7.4921538490514800E+201
229 2.2650661062954000E+206 7.1393545658454400E+202
230 2.1683066387976300E+207 6.8046011216650800E+203
231 2.0760745114772300E+208 6.4868977985336200E+204
232 1.9881396153096900E+209 6.1853077948429100E+205
233 1.9042844579896900E+210 5.8989495060440400E+206
234 1.8243034220883800E+211 5.6269930547334300E+207
235 1.7480020697495100E+212 5.3686570524404000E+208
236 1.6751964908233100E+213 5.1232055767464000E+209
237 1.6057126915554600E+214 4.8899453485847600E+210
238 1.5393860211510400E+215 4.6682230956946200E+211
239 1.4760606337206800E+216 4.4574230892385400E+212
240 1.4155889832898700E+217 4.2569648415496400E+213
241 1.3578313497129600E+218 4.0663009538556000E+214
242 1.3026553934828100E+219 3.8849151036411700E+215
243 1.2499357375650700E+220 3.7123201620622700E+216
244 1.1995535745142100E+221 3.5480564325188200E+217
245 1.1513962972475500E+222 3.3916900021348100E+218
246 1.1053571519638000E+223 3.2428111984864700E+219
247 1.0613349117950800E+224 3.1010331444679900E+220
248 1.0192335698764900E+225 2.9659904046899800E+221
249 9.7896205060586600E+225 2.8373377172754200E+222
250 9.4043393794832700E+226 2.7147488053511500E+223
251 9.0356721971645000E+227 2.5979152629346200E+224
252 8.6828404682816000E+228 2.4865455102873200E+225
253 8.3451050661016300E+229 2.3803638141508100E+226
254 8.0217640927623000E+230 2.2791093686001900E+227
255 7.7121508676680000E+231 2.1825354325456700E+228
256 7.4156320318947200E+232 2.0904085201869600E+229
到此基本数据已全部到齐。指与跨度36的二生相邻素数有关的数据

白新岭 · 发表于 2021-5-27 15:08

yangchuanju 发表于 2021-5-18 12:34
3删1再删除相同的，剩1种跨距36的2生素数，不用再说！
至此跨距36 的2-10生素数全部求出，总共得到1920种 ...

截止1877#yangchuanju先生分析完跨度36的各种k生素数式。总共1920种正确

白新岭 · 发表于 2021-5-27 15:21

二生相邻素数（P，P+36）的数量公式：
2*1.32032372118072*\(∫_1^n\)\(1\over{ln^2(n)}\)\(d_n\)-\({15543}\over {560}\)*2.85824917688516*\(∫_1^n\)\(1\over{ln^3(n)}\)\(d_n\)+\({592204}\over{2457}\)*4.15118255134627*\(∫_1^n\)\(1\over{ln^4(n)}\)\(d_n\)-\({391649}\over{576}\)*10.1318018169296*\(∫_1^n\)\(1\over{ln^5(n)}\)\(d_n\)+\({125544}\over{77}\)*17.2986298980835*\(∫_1^n\)\(1\over{ln^6(n)}\)\(d_n\)-\({155981}\over{120}\)*53.9720251184226*\(∫_1^n\)\(1\over{ln^7(n)}\)\(d_n\)+\({47309}\over {81}\)*178.26229268981*\(∫_1^n\)\(1\over{ln^8(n)}\)\(d_n\)-\({4151}\over{30}\)*630.065899972291*\(∫_1^n\)\(1\over{ln^9(n)}\)\(d_n\)+\({758}\over{35}\)*1704.74613953383*\(∫_1^n\)\(1\over{ln^{10}(n)}\)\(d_n\)-2*3062.09074084973*\(∫_1^n\)\(1\over{ln^{11}(n)}\)\(d_n\)
一个公式的获得并不容易，写出来也不见得轻松，能给人留下美好的记忆也算值的。

白新岭 · 发表于 2021-5-27 15:36

10的n次幂二生相邻素数(P,P+36) 统计值实值-理论误差/实值
2 1.0900000000000000E+02
3 1.8000000000000000E+01
4 3.0000000000000000E+00 1 -2 -200.00%
5 4.9000000000000000E+01 54 5 9.26%
6 8.0800000000000000E+02 767 -41 -5.35%
7 1.0237000000000000E+04 10194 -43 -0.42%
8 1.1344000000000000E+05 114028 588 0.52%
9 1.1701160000000000E+06 1171524 1408 0.12%
10 1.1591292000000000E+07
11 1.1212859900000000E+08
12 1.0692888380000000E+09
13 1.0109315288000000E+10
14 9.5086106024000000E+10
15 8.9176591192900000E+11
16 8.3513226602590000E+12
17 7.8171501062056000E+13
18 7.3182887650309800E+14
19 6.8552802477238800E+15
20 6.4271674807023100E+16
21 6.0321757948010400E+17
22 5.6681298003140400E+18
23 5.3327057963124900E+19
24 5.0235815638145800E+20
25 4.7385221185171500E+21
26 4.4754256168504900E+22
27 4.2323446587614800E+23
28 4.0074926207295400E+24
29 3.7992411129353100E+25
30 3.6061124082525100E+26
31 3.4267692586794200E+27
32 3.2600035990219900E+28
33 3.1047250512722400E+29
34 2.9599497681318800E+30
35 2.8247899153453500E+31
36 2.6984439417535900E+32
37 2.5801876921943800E+33
38 2.4693663614310800E+34
39 2.3653872540926100E+35
40 2.2677132976114100E+36
41 2.1758572467727500E+37
42 2.0893765160922200E+38
43 2.0078685774483600E+39
44 1.9309668636722200E+40
45 1.8583371231511900E+41
46 1.7896741753140400E+42
47 1.7246990217420200E+43
48 1.6631562723661300E+44
49 1.6048118506346700E+45
50 1.5494509456036000E+46
51 1.4968761825919800E+47
52 1.4469059873591300E+48
53 1.3993731217144200E+49
54 1.3541233710928400E+50
55 1.3110143669449200E+51
56 1.2699145288320700E+52
57 1.2307021129135700E+53
58 1.1932643550892500E+54
59 1.1574966984468100E+55
60 1.1233020958774000E+56
61 1.0905903797893100E+57
62 1.0592776917848800E+58
63 1.0292859659861700E+59
64 1.0005424604168200E+60
65 9.7297933147956500E+60
66 9.4653324712727900E+61
67 9.2114503481440400E+62
68 8.9675936074820800E+63
69 8.7332443733934300E+64
70 8.5079175608756800E+65
71 8.2911584343492400E+66
72 8.0825403738114400E+67
73 7.8816628288837500E+68
74 7.6881494430819600E+69
75 7.5016463324641800E+70
76 7.3218205044339600E+71
77 7.1483584039177800E+72
78 6.9809645754192500E+73
79 6.8193604305960000E+74
80 6.6632831120247300E+75
81 6.5124844447312100E+76
82 6.3667299678753700E+77
83 6.2257980397106300E+78
84 6.0894790095884600E+79
85 5.9575744513647600E+80
86 5.8298964530895600E+81
87 5.7062669583331200E+82
88 5.5865171549264200E+83
89 5.4704869072757100E+84
90 5.3580242287551300E+85
91 5.2489847909920200E+86
92 5.1432314671402500E+87
93 5.0406339064897000E+88
94 4.9410681379899700E+89
95 4.8444162004734900E+90
96 4.7505657975514100E+91
97 4.6594099753264200E+92
98 4.5708468212213800E+93
99 4.4847791823633600E+94
100 4.4011144020907800E+95
101 4.3197640732677300E+96
102 4.2406438071956200E+97
103 4.1636730170090500E+98
104 4.0887747145312000E+99
105 4.0158753196441600E+100
106 3.9449044813038300E+101
107 3.8757949093957700E+102
108 3.8084822166904800E+103
109 3.7429047702125600E+104
110 3.6790035513903600E+105
111 3.6167220243997200E+106
112 3.5560060121593100E+107
113 3.4968035794748500E+108
114 3.4390649228660800E+109
115 3.3827422666447600E+110
116 3.3277897648421600E+111
117 3.2741634086139600E+112
118 3.2218209387765000E+113
119 3.1707217631525500E+114
120 3.1208268784275200E+115
121 3.0720987962376400E+116
122 3.0245014732305300E+117
123 2.9780002448569000E+118
124 2.9325617626677200E+119
125 2.8881539349069800E+120
126 2.8447458702039800E+121
127 2.8023078241818600E+122
128 2.7608111488115200E+123
129 2.7202282443511200E+124
130 2.6805325137214000E+125
131 2.6416983191772600E+126
132 2.6037009411447300E+127
133 2.5665165391004000E+128
134 2.5301221143788700E+129
135 2.4944954748003900E+130
136 2.4596152010177500E+131
137 2.4254606144877900E+132
138 2.3920117469786100E+133
139 2.3592493115290400E+134
140 2.3271546747819800E+135
141 2.2957098306179600E+136
142 2.2648973750196000E+137
143 2.2347004821018200E+138
144 2.2051028812466600E+139
145 2.1760888352847400E+140
146 2.1476431196692500E+141
147 2.1197510025911200E+142
148 2.0923982259873400E+143
149 2.0655709873966400E+144
150 2.0392559226199000E+145
151 2.0134400891447100E+146
152 1.9881109502958800E+147
153 1.9632563600758300E+148
154 1.9388645486608500E+149
155 1.9149241085209300E+150
156 1.8914239811328500E+151
157 1.8683534442577300E+152
158 1.8457020997558100E+153
159 1.8234598619126400E+154
160 1.8016169462525800E+155
161 1.7801638588162000E+156
162 1.7590913858799000E+157
163 1.7383905840972400E+158
164 1.7180527710419100E+159
165 1.6980695161340900E+160
166 1.6784326319326400E+161
167 1.6591341657759400E+162
168 1.6401663917560100E+163
169 1.6215218030105200E+164
170 1.6031931043186100E+165
171 1.5851732049865900E+166
172 1.5674552120111300E+167
173 1.5500324235071500E+168
174 1.5328983223890800E+169
175 1.5160465702943600E+170
176 1.4994710017384700E+171
177 1.4831656184917200E+172
178 1.4671245841679900E+173
179 1.4513422190165300E+174
180 1.4358129949081200E+175
181 1.4205315305072700E+176
182 1.4054925866227400E+177
183 1.3906910617288200E+178
184 1.3761219876502500E+179
185 1.3617805254040200E+180
186 1.3476619611915700E+181
187 1.3337617025351500E+182
188 1.3200752745525100E+183
189 1.3065983163643300E+184
190 1.2933265776288400E+185
191 1.2802559151987800E+186
192 1.2673822898954800E+187
193 1.2547017633957300E+188
194 1.2422104952266700E+189
195 1.2299047398646100E+190
196 1.2177808439336700E+191
197 1.2058352435002500E+192
198 1.1940644614597100E+193
199 1.1824651050116500E+194
200 1.1710338632203400E+195
201 1.1597675046571400E+196
202 1.1486628751215600E+197
203 1.1377168954383100E+198
204 1.1269265593271000E+199
205 1.1162889313427900E+200
206 1.1058011448829100E+201
207 1.0954604002604200E+202
208 1.0852639628389300E+203
209 1.0752091612283400E+204
210 1.0652933855385100E+205
211 1.0555140856888900E+206
212 1.0458687697721500E+207
213 1.0363550024697000E+208
214 1.0269704035173800E+209
215 1.0177126462193000E+210
216 1.0085794560085100E+211
217 9.9956860905225300E+211
218 9.9067793090075400E+212
219 9.8190529517775700E+213
220 9.7324862231128000E+214
221 9.6470587830338900E+215
222 9.5627507353745100E+216
223 9.4795426162159700E+217
224 9.3974153826731100E+218
225 9.3163504020163500E+219
226 9.2363294411213000E+220
227 9.1573346562328600E+221
228 9.0793485830340000E+222
229 9.0023541270086800E+223
230 8.9263345540888800E+224
231 8.8512734815764700E+225
232 8.7771548693305200E+226
233 8.7039630112113200E+227
234 8.6316825267725200E+228
235 8.5602983531933900E+229
236 8.4897957374430600E+230
237 8.4201602286692800E+231
238 8.3513776708044700E+232
239 8.2834341953817400E+233
240 8.2163162145544200E+234
241 8.1500104143123100E+235
242 8.0845037478883300E+236
243 8.0197834293496700E+237
244 7.9558369273675300E+238
245 7.8926519591595200E+239
246 7.8302164845996100E+240
247 7.7685187004902900E+241
248 7.7075470349915800E+242
249 7.6472901422024200E+243
250 7.5877368968894200E+244
251 7.5288763893583900E+245
252 7.4706979204644800E+246
253 7.4131909967564500E+247
254 7.3563453257510400E+248
255 7.3001508113334700E+249
256 7.2445975492803200E+250
这是理论值与实际值（统计值）的比对结果，由于实际数据很难获得，所以只比对到10亿范围。

白新岭 · 发表于 2021-5-27 15:38

从数据上看，理论值可信度还是比较高的。

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[原创]k生素数群的数量公式

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