Talk:Wilson primes of order n
computation for higher orders of Wilson primes
Just for curiosity, I extended the orders to 301 to see what Wilson primes would be generated (using the REXX program):
order │ Wilson primes P of order 1 ──► 301, where P < 11,000 ───────┼────────────────────────────────────────────────────────────── 1 │ 5 13 563 2 │ 2 3 11 107 4,931 3 │ 7 4 │ 10,429 5 │ 5 7 47 6 │ 11 7 │ 17 8 │ (none found within the range specified) 9 │ 541 10 │ 11 1,109 11 │ 17 2,713 12 │ (none found within the range specified) 13 │ 13 14 │ (none found within the range specified) 15 │ 349 16 │ 31 17 │ 61 251 479 18 │ (none found within the range specified) 19 │ 71 20 │ 59 499 21 │ (none found within the range specified) 22 │ (none found within the range specified) 23 │ (none found within the range specified) 24 │ 47 3,163 25 │ (none found within the range specified) 26 │ (none found within the range specified) 27 │ 53 28 │ 347 29 │ (none found within the range specified) 30 │ 137 1,109 5,179 31 │ (none found within the range specified) 32 │ 71 33 │ 823 1,181 2,927 34 │ 149 35 │ 71 36 │ (none found within the range specified) 37 │ 71 1,889 38 │ (none found within the range specified) 39 │ 491 40 │ 59 71 1,171 41 │ 977 9,623 42 │ (none found within the range specified) 43 │ 47 44 │ 3,307 45 │ 61 46 │ (none found within the range specified) 47 │ (none found within the range specified) 48 │ (none found within the range specified) 49 │ 149 941 50 │ (none found within the range specified) 51 │ (none found within the range specified) 52 │ (none found within the range specified) 53 │ 71 54 │ 2,887 55 │ 137 56 │ (none found within the range specified) 57 │ 467 58 │ 443 4,937 59 │ (none found within the range specified) 60 │ (none found within the range specified) 61 │ 2,887 9,479 62 │ (none found within the range specified) 63 │ 173 64 │ (none found within the range specified) 65 │ 1,013 10,163 66 │ (none found within the range specified) 67 │ 523 68 │ 373 69 │ 2,341 9,011 70 │ 359 499 821 8,693 71 │ 409 10,903 72 │ (none found within the range specified) 73 │ 5,651 74 │ 7,993 75 │ (none found within the range specified) 76 │ 419 77 │ (none found within the range specified) 78 │ 227 3,191 79 │ (none found within the range specified) 80 │ (none found within the range specified) 81 │ 173 82 │ (none found within the range specified) 83 │ 137 84 │ (none found within the range specified) 85 │ 983 86 │ (none found within the range specified) 87 │ (none found within the range specified) 88 │ 859 89 │ (none found within the range specified) 90 │ 2,267 91 │ (none found within the range specified) 92 │ 1,489 93 │ 173 94 │ (none found within the range specified) 95 │ (none found within the range specified) 96 │ (none found within the range specified) 97 │ (none found within the range specified) 98 │ (none found within the range specified) 99 │ (none found within the range specified) 100 │ 4,201 101 │ 149 102 │ 2,903 103 │ (none found within the range specified) 104 │ 521 105 │ (none found within the range specified) 106 │ 107 107 │ 827 108 │ 137 2,083 109 │ (none found within the range specified) 110 │ 4,001 111 │ 173 617 112 │ (none found within the range specified) 113 │ 419 114 │ 5,471 115 │ (none found within the range specified) 116 │ 149 599 117 │ (none found within the range specified) 118 │ (none found within the range specified) 119 │ (none found within the range specified) 120 │ 3,733 121 │ 499 122 │ (none found within the range specified) 123 │ (none found within the range specified) 124 │ (none found within the range specified) 125 │ (none found within the range specified) 126 │ 1,499 1,531 2,341 127 │ 577 128 │ (none found within the range specified) 129 │ (none found within the range specified) 130 │ 647 131 │ 3,727 132 │ 911 133 │ 277 134 │ 6,359 135 │ (none found within the range specified) 136 │ 751 137 │ (none found within the range specified) 138 │ (none found within the range specified) 139 │ (none found within the range specified) 140 │ (none found within the range specified) 141 │ (none found within the range specified) 142 │ 607 143 │ (none found within the range specified) 144 │ (none found within the range specified) 145 │ 277 146 │ (none found within the range specified) 147 │ (none found within the range specified) 148 │ (none found within the range specified) 149 │ 5,711 150 │ 227 2,671 151 │ (none found within the range specified) 152 │ (none found within the range specified) 153 │ 313 409 154 │ (none found within the range specified) 155 │ 617 4,517 156 │ (none found within the range specified) 157 │ (none found within the range specified) 158 │ 1,129 159 │ (none found within the range specified) 160 │ (none found within the range specified) 161 │ 313 1,667 162 │ 7,411 163 │ (none found within the range specified) 164 │ 367 165 │ (none found within the range specified) 166 │ (none found within the range specified) 167 │ (none found within the range specified) 168 │ (none found within the range specified) 169 │ (none found within the range specified) 170 │ 1,783 171 │ (none found within the range specified) 172 │ (none found within the range specified) 173 │ (none found within the range specified) 174 │ 2,557 5,101 175 │ (none found within the range specified) 176 │ (none found within the range specified) 177 │ 829 4,373 178 │ 463 179 │ (none found within the range specified) 180 │ (none found within the range specified) 181 │ 7,207 182 │ 613 183 │ (none found within the range specified) 184 │ (none found within the range specified) 185 │ (none found within the range specified) 186 │ (none found within the range specified) 187 │ (none found within the range specified) 188 │ (none found within the range specified) 189 │ (none found within the range specified) 190 │ (none found within the range specified) 191 │ (none found within the range specified) 192 │ (none found within the range specified) 193 │ 631 823 194 │ 6,287 195 │ (none found within the range specified) 196 │ 811 197 │ (none found within the range specified) 198 │ (none found within the range specified) 199 │ 919 200 │ (none found within the range specified) 201 │ (none found within the range specified) 202 │ (none found within the range specified) 203 │ (none found within the range specified) 204 │ 367 205 │ (none found within the range specified) 206 │ (none found within the range specified) 207 │ (none found within the range specified) 208 │ 9,833 209 │ 5,659 210 │ (none found within the range specified) 211 │ (none found within the range specified) 212 │ (none found within the range specified) 213 │ 1,103 214 │ (none found within the range specified) 215 │ (none found within the range specified) 216 │ 643 217 │ (none found within the range specified) 218 │ 2,081 219 │ 7,933 220 │ (none found within the range specified) 221 │ (none found within the range specified) 222 │ 829 223 │ (none found within the range specified) 224 │ (none found within the range specified) 225 │ (none found within the range specified) 226 │ 2,521 227 │ 479 228 │ 3,697 229 │ 5,387 230 │ (none found within the range specified) 231 │ 479 1,031 232 │ (none found within the range specified) 233 │ 3,067 234 │ (none found within the range specified) 235 │ 251 236 │ (none found within the range specified) 237 │ 2,699 238 │ 829 239 │ 7,237 240 │ (none found within the range specified) 241 │ 863 242 │ (none found within the range specified) 243 │ (none found within the range specified) 244 │ (none found within the range specified) 245 │ 739 246 │ 6,691 247 │ 3,581 248 │ (none found within the range specified) 249 │ 479 250 │ (none found within the range specified) 251 │ 9,173 252 │ (none found within the range specified) 253 │ 479 254 │ (none found within the range specified) 255 │ (none found within the range specified) 256 │ (none found within the range specified) 257 │ 409 258 │ 541 8,693 259 │ 8,887 260 │ 8,963 261 │ 683 262 │ (none found within the range specified) 263 │ (none found within the range specified) 264 │ (none found within the range specified) 265 │ (none found within the range specified) 266 │ 4,211 267 │ (none found within the range specified) 268 │ (none found within the range specified) 269 │ (none found within the range specified) 270 │ 5,437 271 │ 577 2,281 272 │ 8,293 273 │ 4,651 274 │ (none found within the range specified) 275 │ (none found within the range specified) 276 │ (none found within the range specified) 277 │ (none found within the range specified) 278 │ (none found within the range specified) 279 │ 2,083 280 │ (none found within the range specified) 281 │ (none found within the range specified) 282 │ 1,129 283 │ (none found within the range specified) 284 │ 541 285 │ (none found within the range specified) 286 │ 463 287 │ 1,223 288 │ (none found within the range specified) 289 │ (none found within the range specified) 290 │ 359 9,851 291 │ (none found within the range specified) 292 │ (none found within the range specified) 293 │ (none found within the range specified) 294 │ 631 3,167 295 │ (none found within the range specified) 296 │ 677 297 │ 2,617 298 │ (none found within the range specified) 299 │ (none found within the range specified) 300 │ (none found within the range specified) 301 │ (none found within the range specified) ───────┴────────────────────────────────────────────────────────────────
-- Gerard Schildberger (talk) 22:48, 28 July 2021 (UTC)