The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A127436 Primes associated with A127435. 4
 2, 5, 17, 37, 101, 257, 1297, 1601, 4357, 15877, 16901, 22501, 24337, 32401, 44101, 57601, 62501, 65537, 72901, 78401, 93637, 156817, 160001, 176401, 184901, 217157, 240101, 309137, 324901, 331777, 417317, 476101, 490001, 562501, 577601, 682277 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A sequence with P=a(k) distinct numbers contains a subsequence of p=A127435(k) monotonically increasing or decreasing terms, according to a corollary of the Erdos-Szekeres theorem. LINKS Table of n, a(n) for n=1..36. FORMULA a(n) = (A127435(n)-1)^2 + 1. MATHEMATICA Select[(Prime@Range[300] - 1)^2 + 1, PrimeQ] (* Ray Chandler, Jan 23 2007 *) PROG (PARI) listp(nn) = {forprime(p=2, nn, if (isprime(q=(p-1)^2 + 1), print1(q, ", ")); ); } \\ Michel Marcus, Jun 08 2016 CROSSREFS Cf. A127435. Subsequence of A045349. Sequence in context: A346809 A276460 A002496 * A064168 A118727 A183906 Adjacent sequences: A127433 A127434 A127435 * A127437 A127438 A127439 KEYWORD nonn AUTHOR Lekraj Beedassy, Jan 14 2007 EXTENSIONS Corrected and extended by Ray Chandler, Jan 23 2007 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 10 16:48 EDT 2023. Contains 363205 sequences. (Running on oeis4.)