[原创]k生素数群的数量公式

白新岭 · 发表于 2019-8-24 17:39

素数式85 素数式85 素数式85 素数式85 素数式85 素数式85 素数式85 素数式85
0 0 0 0 0 0 0 0
2 2 2 2 6 2 2 6
4 4 4 4 2 6 6 2
6 2 2 6 6 6 4 6
2 4 12 2 10 4 8 10
10 8 6 6 2 2 4 2
2 10 4 4 10 4 6 10
4 6 2 2 2 6 8 2
6 2 4 4 10 8 4 10
8 4 6 6 2 4 2 2
6 8 8 6 4 2 6 6
4 6 6 2 2 4 4 10
2 12 4 6 10 12 8 14
6 12 12 6 14 2 6 4
4 6 6 6 4 10 4 2
6 4 8 4 6 2 6 4
8 6 4 6 6 16 2 6
4 2 2 8 8 2 4 8
6 22 4 4 6 6 6 4
2 2 2 6 4 4 8 2
4 4 4 2 12 6 6 4
8 2 8 4 2 6 4 12
6 4 6 8 6 6 2 2
4 6 4 6 4 8 12 6
8 2 12 4 2 4 6 4
4 10 8 8 16 2 6 2
6 2 6 4 8 6 4 16
2 4 10 6 4 10 2 12
6 6 2 2 2 8 10 2
6 6 4 6 18 6 2 4
4 8 6 6 6 4 10 14
6 6 2 4 4 2 2 6
6 6 10 2 6 4 4 4
8 4 6 4 2 8 6 6
6 6 2 6 4 10 8 2
4 8 10 8 6 6 10 4
2 4 2 6 8 2 2 6
10 2 10 4 6 4 4 2
2 4 2 2 4 8 6 6
10 2 6 10 2 12 6 10
2 12 4 2 10 4 2 2
4 6 6 10 14 2 6 4
14 4 8 2 4 4 12 6
6 12 4 4 2 8 4 14
4 6 2 14 10 6 6 4
2 2 4 10 2 4 12 2
10 6 12 2 10 6 2 10
6 6 8 4 2 2 4 2
2 4 4 6 4 10 2 10
6 2 2 8 6 2 4 2
4 10 6 6 8 10 8 4
2 8 10 4 6 2 6 6
6 6 8 2 4 6 4 8
4 4 4 6 2 10 6 6
6 2 2 4 4 2 6 6
14 10 4 6 6 6 8 4
4 2 6 18 6 4 6 6
2 10 8 2 2 2 6 6
12 2 10 4 6 10 4 2
16 4 6 8 4 6 2 6
2 6 2 16 8 8 10 4
4 6 4 2 4 12 2 8
6 12 8 4 6 4 6 4
2 2 6 6 8 6 4 6
12 4 6 2 4 8 2 8
4 6 6 12 2 4 4 4
2 8 4 4 6 2 2 2
4 6 6 6 4 4 22 6
8 4 2 8 8 2 2 4
6 2 16 6 6 4 6 8
4 6 2 6 4 8 4 6
2 4 10 4 6 6 6 4
4 6 2 14 6 12 12 6
14 8 12 10 6 4 12 2
10 4 4 2 2 6 6 4
6 6 2 4 6 8 8 6
2 2 4 2 6 6 4 8
10 4 8 10 4 4 2 6
2 8 6 2 2 2 6 4
10 6 4 10 4 4 10 2
2 4 2 2 6 6 8 10
10 8 4 10 2 12 4 2
6 4 6 6 6 2 2 6
2 6 6 2 4 4 4 4
6 2 2 6 2 2 2 2
470 470 470 470 470 470 470 470

白新岭 · 发表于 2019-8-24 17:39

素数式85 素数式85 素数式85 素数式85 素数式85 素数式85 素数式85 素数式85
0 0 0 0 0 0 0 0
2 2 2 2 6 2 2 6
6 6 6 6 8 8 8 8
12 8 8 12 14 14 12 14
14 12 20 14 24 18 20 24
24 20 26 20 26 20 24 26
26 30 30 24 36 24 30 36
30 36 32 26 38 30 38 38
36 38 36 30 48 38 42 48
44 42 42 36 50 42 44 50
50 50 50 42 54 44 50 56
54 56 56 44 56 48 54 66
56 68 60 50 66 60 62 80
62 80 72 56 80 62 68 84
66 86 78 62 84 72 72 86
72 90 86 66 90 74 78 90
80 96 90 72 96 90 80 96
84 98 92 80 104 92 84 104
90 120 96 84 110 98 90 108
92 122 98 90 114 102 98 110
96 126 102 92 126 108 104 114
104 128 110 96 128 114 108 126
110 132 116 104 134 120 110 128
114 138 120 110 138 128 122 134
122 140 132 114 140 132 128 138
126 150 140 122 156 134 134 140
132 152 146 126 164 140 138 156
134 156 156 132 168 150 140 168
140 162 158 134 170 158 150 170
146 168 162 140 188 164 152 174
150 176 168 146 194 168 162 188
156 182 170 150 198 170 164 194
162 188 180 152 204 174 168 198
170 192 186 156 206 182 174 204
176 198 188 162 210 192 182 206
180 206 198 170 216 198 192 210
182 210 200 176 224 200 194 216
192 212 210 180 230 204 198 218
194 216 212 182 234 212 204 224
204 218 218 192 236 224 210 234
206 230 222 194 246 228 212 236
210 236 228 204 260 230 218 240
224 240 236 206 264 234 230 246
230 252 240 210 266 242 234 260
234 258 242 224 276 248 240 264
236 260 246 234 278 252 252 266
246 266 258 236 288 258 254 276
252 272 266 240 290 260 258 278
254 276 270 246 294 270 260 288
260 278 272 254 300 272 264 290
264 288 278 260 308 282 272 294
266 296 288 264 314 284 278 300
272 302 296 266 318 290 282 308
276 306 300 272 320 300 288 314
282 308 302 276 324 302 294 320
296 318 306 282 330 308 302 324
300 320 312 300 336 312 308 330
302 330 320 302 338 314 314 336
314 332 330 306 344 324 318 338
330 336 336 314 348 330 320 344
332 342 338 330 356 338 330 348
336 348 342 332 360 350 332 356
342 360 350 336 366 354 338 360
344 362 356 342 374 360 342 366
356 366 362 344 378 368 344 374
360 372 368 356 380 372 348 378
362 380 372 360 386 374 350 380
366 386 378 366 390 378 372 386
374 390 380 374 398 380 374 390
380 392 396 380 404 384 380 398
384 398 398 386 408 392 384 404
386 402 408 390 414 398 390 408
390 408 410 404 420 410 402 414
404 416 422 414 426 414 414 416
414 420 426 416 428 420 420 420
420 426 428 420 434 428 428 426
422 428 432 422 440 434 432 434
432 432 440 432 444 438 434 440
434 440 446 434 446 440 440 444
444 446 450 444 450 444 450 446
446 450 452 446 456 450 458 456
456 458 456 456 458 462 462 458
462 462 462 462 464 464 464 464
464 468 468 464 468 468 468 468
470 470 470 470 470 470 470 470
19124 20436 20010 18722 21228 19940 19514 20826

白新岭 · 发表于 2019-8-24 17:40

最密85生素数的最终系数C85(L470)=3.87972816882180E+49

白新岭 · 发表于 2019-8-24 17:42

n(10的次幂）最密85生素数的数量
171 1.000000000000000000E+00
172 7.000000000000000000E+00
173 4.600000000000000000E+01
174 2.860000000000000000E+02
175 1.759000000000000000E+03
176 1.082600000000000000E+04
177 6.678500000000000000E+04
178 4.131040000000000000E+05
179 2.562198000000000000E+06
180 1.593404900000000000E+07
181 9.935434700000000000E+07
182 6.211295070000000000E+08
183 3.893135611000000000E+09
184 2.446395661700000000E+10
185 1.541173639890000000E+11
186 9.733348300570000000E+11
187 6.162360154218000000E+12
188 3.911060183380700000E+13
189 2.488245375476700000E+14
190 1.586836024868940000E+15
191 1.014378574627830000E+16
192 6.499597428485990000E+16
193 4.174270573179430000E+17
194 2.687026940585630000E+18
195 1.733606124649270000E+19
196 1.121000204473090000E+20
197 7.264869440478370000E+20
198 4.718532674126040000E+21
199 3.071379405046720000E+22
200 2.003538908439810000E+23
201 1.309756350268320000E+24
202 8.580298789145090000E+24
203 5.632800399607900000E+25
204 3.705504843826990000E+26
205 2.442657824207190000E+27
206 1.613471840325920000E+28
207 1.067911010290020000E+29
208 7.082314209571560000E+29
209 4.706233014312960000E+30
210 3.133441189522830000E+31
211 2.090313622771120000E+32
212 1.397124617616340000E+33
213 9.355882395392640000E+33
214 6.277005547796680000E+34
215 4.219206332211630000E+35
216 2.841266430152880000E+36
217 1.916852325451610000E+37
218 1.295548008547800000E+38
219 8.772013379716330000E+38
220 5.950025660811720000E+39
221 4.043012910474610000E+40
222 2.752017597960990000E+41
223 1.876507140614510000E+42
224 1.281726641611000000E+43
225 8.769606513939270000E+43
226 6.010321836184950000E+44
227 4.126119292892140000E+45
228 2.837303908051710000E+46
229 1.954265808759370000E+47
230 1.348245168869880000E+48

白新岭 · 发表于 2019-8-24 18:24

素数式85 素数式85 素数式85 素数式85 素数式85 素数式85 素数式85 素数式85
0 0 0 0 0 0 0 0
4 4 2 2 4 4 2 2
2 2 6 6 6 6 8 8
4 4 10 10 10 10 18 18
6 6 2 2 16 16 20 20
2 2 10 10 18 18 30 30
10 6 2 2 28 24 32 32
2 4 10 10 30 28 42 42
4 2 2 2 34 30 44 44
6 4 4 6 40 34 48 50
8 6 2 10 48 40 50 60
6 6 10 14 54 46 60 74
4 2 14 4 58 48 74 78
2 6 4 2 60 54 78 80
6 6 6 4 66 60 84 84
4 6 6 6 70 66 90 90
6 4 8 8 76 70 98 98
8 6 6 4 84 76 104 102
4 8 4 2 88 84 108 104
6 4 12 4 94 88 120 108
2 6 2 12 96 94 122 120
4 2 6 2 100 96 128 122
8 4 4 6 108 100 132 128
6 8 2 4 114 108 134 132
4 6 16 2 118 114 150 134
8 4 8 16 126 118 158 150
4 8 4 12 130 126 162 162
6 4 2 2 136 130 164 164
2 6 18 4 138 136 182 168
6 2 6 14 144 138 188 182
6 6 4 6 150 144 192 188
4 6 6 4 154 150 198 192
6 4 2 6 160 154 200 198
6 2 4 2 166 156 204 200
8 4 6 4 174 160 210 204
6 6 8 6 180 166 218 210
4 8 6 2 184 174 224 212
2 6 4 6 186 180 228 218
10 4 2 10 196 184 230 228
2 2 10 2 198 186 240 230
10 10 14 4 208 196 254 234
2 2 4 6 210 198 258 240
4 10 2 14 214 208 260 254
14 2 10 4 228 210 270 258
6 4 2 2 234 214 272 260
4 14 10 10 238 228 282 270
2 10 2 2 240 238 284 272
10 2 4 10 250 240 288 282
6 4 6 2 256 244 294 284
2 6 8 4 258 250 302 288
6 8 6 6 264 258 308 294
4 6 4 8 268 264 312 302
2 4 2 6 270 268 314 308
6 2 4 6 276 270 318 314
4 6 6 4 280 276 324 318
6 4 6 6 286 280 330 324
14 6 2 6 300 286 332 330
4 18 6 2 304 304 338 332
2 2 4 6 306 306 342 338
12 4 8 4 318 310 350 342
16 8 4 8 334 318 354 350
2 16 6 4 336 334 360 354
4 2 8 6 340 336 368 360
6 4 4 8 346 340 372 368
2 6 2 4 348 346 374 372
12 2 6 2 360 348 380 374
4 12 4 6 364 360 384 380
2 4 8 4 366 364 392 384
4 6 6 8 370 370 398 392
8 8 4 6 378 378 402 398
6 6 6 4 384 384 408 402
4 6 6 6 388 390 414 408
2 4 6 2 390 394 420 410
4 14 2 4 394 408 422 414
14 10 6 6 408 418 428 420
10 2 6 8 418 420 434 428
6 4 4 6 424 424 438 434
2 2 2 4 426 426 440 438
10 10 4 2 436 436 444 440
2 2 6 10 438 438 450 450
10 10 2 2 448 448 452 452
2 2 6 6 450 450 458 458
10 10 4 4 460 460 462 462
6 6 2 2 466 466 464 464
2 2 4 4 468 468 468 468
468 468 468 468 18990 18588 21192 20790
前几楼的不是最密85生素数，是次最密85生素数，本楼才是。

白新岭 · 发表于 2019-8-24 18:25

最密85生素数的最终系数C85(L468)=2.52647615712260E+49

白新岭 · 发表于 2019-8-24 18:28

n(10的次幂）最密85生素数的数量L468
172 5.000000000000000000E+00
173 3.000000000000000000E+01
174 1.860000000000000000E+02
175 1.146000000000000000E+03
176 7.050000000000000000E+03
177 4.349000000000000000E+04
178 2.690130000000000000E+05
179 1.668501000000000000E+06
180 1.037624100000000000E+07
181 6.469947800000000000E+07
182 4.044790820000000000E+08
183 2.535207074000000000E+09
184 1.593091072700000000E+10
185 1.003611151530000000E+11
186 6.338349322510000000E+11
187 4.012924443096000000E+12
188 2.546879542177700000E+13
189 1.620343575803030000E+14
190 1.033346463371450000E+15
191 6.605625888144380000E+15
192 4.232533110419440000E+16
193 2.718281956263710000E+17
194 1.749789986187950000E+18
195 1.128923045425170000E+19
196 7.299945164949280000E+19
197 4.730877687121870000E+20
198 3.072705039900690000E+21
199 2.000080031041050000E+22
200 1.304703077581290000E+23
201 8.529123811263650000E+23
202 5.587484320672450000E+24
203 3.668075516682850000E+25
204 2.413022054809120000E+26
205 1.590656995627240000E+27
206 1.050691686992620000E+28
207 6.954228719188340000E+28
208 4.611997853748360000E+29
209 3.064695510390820000E+30
210 2.040494619879370000E+31
211 1.361210708337740000E+32
212 9.098065331748900000E+32
213 6.092543800041760000E+33
214 4.087581439874590000E+34
215 2.747544089809410000E+35
216 1.850230629429400000E+36
217 1.248252837891270000E+37
218 8.436599193488550000E+37
219 5.712328722386770000E+38
220 3.874652375677550000E+39
221 2.632807061932620000E+40
222 1.792111854924550000E+41
223 1.221980082917150000E+42
224 8.346594552685960000E+42
225 5.710761373146170000E+43
226 3.913917201154330000E+44
227 2.686925877619230000E+45
228 1.847650237923840000E+46
229 1.272616470965250000E+47
230 8.779762717602750000E+47
231 6.066934703350040000E+48

独舟星海 · 发表于 2019-8-27 15:43

素数式86 素数式86 素数式86 素数式86 素数式86 素数式86 素数式86 素数式86
0 0 0 0 0 0 0 0
4 4 6 6 4 4 6 6
2 2 2 2 6 6 8 8
4 4 6 6 10 10 14 14
6 6 10 10 16 16 24 24
2 2 2 2 18 18 26 26
10 6 10 10 28 24 36 36
2 4 2 2 30 28 38 38
4 2 10 10 34 30 48 48
6 4 2 2 40 34 50 50
8 6 4 6 48 40 54 56
6 6 2 10 54 46 56 66
4 2 10 14 58 48 66 80
2 6 14 4 60 54 80 84
6 6 4 2 66 60 84 86
4 6 6 4 70 66 90 90
6 4 6 6 76 70 96 96
8 6 8 8 84 76 104 104
4 8 6 4 88 84 110 108
6 4 4 2 94 88 114 110
2 6 12 4 96 94 126 114
4 2 2 12 100 96 128 126
8 4 6 2 108 100 134 128
6 8 4 6 114 108 138 134
4 6 2 4 118 114 140 138
8 4 16 2 126 118 156 140
4 8 8 16 130 126 164 156
6 4 4 12 136 130 168 168
2 6 2 2 138 136 170 170
6 2 18 4 144 138 188 174
6 6 6 14 150 144 194 188
4 6 4 6 154 150 198 194
6 4 6 4 160 154 204 198
6 2 2 6 166 156 206 204
8 4 4 2 174 160 210 206
6 6 6 4 180 166 216 210
4 8 8 6 184 174 224 216
2 6 6 2 186 180 230 218
10 4 4 6 196 184 234 224
2 2 2 10 198 186 236 234
10 10 10 2 208 196 246 236
2 2 14 4 210 198 260 240
4 10 4 6 214 208 264 246
14 2 2 14 228 210 266 260
6 4 10 4 234 214 276 264
4 14 2 2 238 228 278 266
2 10 10 10 240 238 288 276
10 2 2 2 250 240 290 278
6 4 4 10 256 244 294 288
2 6 6 2 258 250 300 290
6 8 8 4 264 258 308 294
4 6 6 6 268 264 314 300
2 4 4 8 270 268 318 308
6 2 2 6 276 270 320 314
4 6 4 6 280 276 324 320
6 4 6 4 286 280 330 324
14 6 6 6 300 286 336 330
4 18 2 6 304 304 338 336
2 2 6 2 306 306 344 338
12 4 4 6 318 310 348 344
16 8 8 4 334 318 356 348
2 16 4 8 336 334 360 356
4 2 6 4 340 336 366 360
6 4 8 6 346 340 374 366
2 6 4 8 348 346 378 374
12 2 2 4 360 348 380 378
4 12 6 2 364 360 386 380
2 4 4 6 366 364 390 386
4 6 8 4 370 370 398 390
8 8 6 8 378 378 404 398
6 6 4 6 384 384 408 404
4 6 6 4 388 390 414 408
2 4 6 6 390 394 420 414
4 14 6 2 394 408 426 416
14 10 2 4 408 418 428 420
10 2 6 6 418 420 434 426
6 4 6 8 424 424 440 434
2 2 4 6 426 426 444 440
10 10 2 4 436 436 446 444
2 2 4 2 438 438 450 446
10 10 6 10 448 448 456 456
2 2 2 2 450 450 458 458
10 10 6 6 460 460 464 464
6 6 4 4 466 466 468 468
2 2 2 2 468 468 470 470
6 6 4 4 474 474 474 474
474 474 474 474 19464 19062 21702 21300
这是最密86生素数式

独舟星海 · 发表于 2019-8-27 15:50

最密86生素数的最终系数C86(L474)=1.27418951646218E+50

独舟星海 · 发表于 2019-8-27 15:50

n(10的次幂）最密86生素数的数量L474
174 2.000000000000000000E+00
175 1.400000000000000000E+01
176 8.800000000000000000E+01
177 5.390000000000000000E+02
178 3.320000000000000000E+03
179 2.047900000000000000E+04
180 1.266470000000000000E+05
181 7.853120000000000000E+05
182 4.882426000000000000E+06
183 3.043437500000000000E+07
184 1.902023690000000000E+08
185 1.191730670000000000E+09
186 7.485812331000000000E+09
187 4.713967063500000000E+10
188 2.975838074500000000E+11
189 1.883196907905000000E+12
190 1.194633187854500000E+13
191 7.596520726399800000E+13
192 4.842005329515330000E+14
193 3.093537828994830000E+15
194 1.981046392851120000E+16
195 1.271547204332160000E+17
196 8.180101543348940000E+17
197 5.274279806669430000E+18
198 3.408285385616330000E+19
199 2.207329955080810000E+20
200 1.432674169556010000E+21
201 9.318949748144530000E+21
202 6.074583585548100000E+22
203 3.968138626827360000E+23
204 2.597579538992990000E+24
205 1.703937328494480000E+25
206 1.120036827556840000E+26
207 7.377279195921810000E+26
208 4.868966682911660000E+27
209 3.219923918311820000E+28
210 2.133606479858060000E+29
211 1.416559223881720000E+30
212 9.423207837525780000E+30
213 6.280561217446460000E+31
214 4.193975881420840000E+32
215 2.805908145959590000E+33
216 1.880759995446930000E+34
217 1.262984971093260000E+35
218 8.496898580453720000E+35
219 5.726810450449140000E+36
220 3.866767688089740000E+37
221 2.615526500321280000E+38
222 1.772306829801010000E+39
223 1.203041215656680000E+40
224 8.180447652546270000E+40
225 5.572137864884190000E+41
226 3.801965726372030000E+42
227 2.598540757861180000E+43
228 1.779014045360520000E+44
229 1.219976124282650000E+45
230 8.379904762954480000E+45
231 5.765492354676910000E+46
232 3.973169877991160000E+47
233 2.742427869153870000E+48

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[原创]k生素数群的数量公式

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