# This b-file (for A369463) was computed by Antti Karttunen, 2024-01-25 # in GP/PARI CALCULATOR Version 2.9.4 (released) amd64 running linux (x86-64/GMP-6.1.2 kernel) 64-bit version, compiled: Dec 19 2017, gcc version 7.3.0 (Ubuntu 7.3.0-1ubuntu1), threading engine: pthread # with the following program: # # isA369251(n) = if(3!=(n%4),0, my(v = [3,3], ip = #v, r); while(1, r = (n-(v[1]*v[2])) / (v[1]+v[2]); if(r < v[2], ip--, ip = #v; if(1==denominator(r) && isprime(r), return(1))); if(!ip, return(0)); v[ip] = nextprime(1+v[ip]); for(i=1+ip,#v,v[i]=v[i-1]))); # k=0; forstep(n=11,2^35,12,if(!((n-11)%(2^24)),print1("("n")")); if(!isA369251(n),k++; write("b369463.txt", k, " ", n))); # Note that a(286), if it exists > 201326603 (= (12*(2^24))+11). 1 11 2 23 3 35 4 47 5 59 6 83 7 107 8 143 9 179 10 227 11 323 12 347 13 443 14 515 15 659 16 683 17 827 18 947 19 1259 20 1523 21 1763 22 1787 23 2075 24 2267 25 2675 26 2963 27 3023 28 3203 29 3275 30 3347 31 3467 32 3635 33 4523 34 4643 35 4859 36 5003 37 5147 38 5747 39 5819 40 6395 41 6803 42 6827 43 7235 44 8003 45 8123 46 8171 47 8747 48 8963 49 9323 50 9659 51 9827 52 10367 53 10427 54 12347 55 12923 56 13187 57 13355 58 13955 59 14387 60 16307 61 17075 62 17387 63 17843 64 18707 65 20483 66 20603 67 22355 68 22427 69 22787 70 24203 71 24227 72 25043 73 25163 74 26603 75 27467 76 28163 77 28307 78 28835 79 29483 80 29507 81 29723 82 30803 83 33707 84 35603 85 35627 86 36107 87 37283 88 37907 89 39995 90 41363 91 41867 92 42443 93 42659 94 44627 95 45875 96 45923 97 46475 98 46547 99 49259 100 50387 101 50603 102 50747 103 53603 104 54107 105 56123 106 57803 107 58403 108 59507 109 63443 110 64163 111 64283 112 68507 113 71387 114 71723 115 74627 116 74867 117 75443 118 77219 119 80315 120 80387 121 82763 122 83843 123 87683 124 87803 125 89363 126 90587 127 90827 128 94187 129 94523 130 99947 131 100043 132 101315 133 104435 134 107507 135 109355 136 110315 137 119243 138 120803 139 121067 140 124163 141 130643 142 135683 143 137363 144 140603 145 140723 146 140867 147 143075 148 143243 149 153707 150 156947 151 157859 152 158003 153 161387 154 162107 155 162323 156 162563 157 165515 158 171803 159 174203 160 175163 161 178523 162 180707 163 183203 164 184283 165 187067 166 196907 167 209003 168 210347 169 214571 170 218267 171 222203 172 230075 173 238907 174 239507 175 245147 176 247283 177 259163 178 263915 179 268643 180 272147 181 278147 182 290963 183 310907 184 311987 185 312323 186 324083 187 327923 188 329123 189 333155 190 336323 191 341807 192 341867 193 346523 194 360683 195 363707 196 371627 197 378827 198 380387 199 384563 200 402803 201 403043 202 404027 203 420467 204 427067 205 429587 206 430523 207 464123 208 467867 209 480395 210 487547 211 511067 212 518387 213 541907 214 563147 215 572027 216 578147 217 607667 218 619403 219 650483 220 700835 221 714107 222 721403 223 723683 224 727259 225 740387 226 746267 227 775907 228 780563 229 805667 230 811715 231 815483 232 850403 233 878003 234 881675 235 885635 236 887723 237 889403 238 892595 239 900827 240 936587 241 940787 242 945323 243 953843 244 990683 245 1055723 246 1075787 247 1111667 248 1116875 249 1194347 250 1275443 251 1304747 252 1385987 253 1403747 254 1410803 255 1544363 256 1556963 257 1611803 258 1659707 259 1700675 260 1737275 261 1740347 262 1745627 263 1779803 264 1831643 265 1979987 266 2022323 267 2072603 268 2199107 269 2342747 270 2681387 271 2832467 272 3762683 273 3813947 274 3968603 275 4210187 276 4583483 277 4696547 278 5131163 279 6088523 280 6310595 281 6891347 282 7389803 283 21773147 284 32698163 285 50688947