A000790 question

David Wilson davidwwilson at comcast.net
Fri Jun 10 19:04:20 CEST 2005


I was looking at the including the range of A000790 (the primary pretenders) 
in the OEIS.  According to http://www.research.att.com/~njas/doc/guy.ps, the 
range of A000790 is finite with 132 values.  A long-winded description of 
these values is given on page 3, which boils down to numbers of the form pq 
< 561 where primes p, q satisfy q == 1 (mod p-1).

I computed these numbers directly from the article description as well as 
from my simplified definition, and in each case I got the following 131 
numbers:

4 6 9 10 14 15 21 22 25 26 33 34 38 39 46 49 51 57 58 62 65 69 74 82 85
86 87 91 93 94 106 111 118 121 122 123 129 133 134 141 142 145 146 158
159 166 169 177 178 183 185 194 201 202 205 206 213 214 217 218 219 226
237 249 254 259 262 265 267 274 278 289 291 298 301 302 303 305 309 314
321 326 327 334 339 341 346 358 361 362 365 381 382 386 393 394 398 411
417 422 427 445 446 447 451 453 454 458 466 469 471 478 481 482 485 489
501 502 505 511 514 519 526 529 537 538 542 543 545 553 554

So how many of these numbers are there, 131 or 132?


- David W. Wilson

"Truth is just truth -- You can't have opinions about the truth."
   - Peter Schickele, from P.D.Q. Bach's oratorio "The Seasonings" 






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