A191457 Primes p such that the polynomial x^2+x+p generates only primes for x=1..10.

17, 41, 180078317, 1278189947, 1761702947, 1829187287, 5862143447, 6369321857, 7226006861, 8776320587, 10102729577, 11085833111, 12412643261, 50626299797, 53039299211, 72355485857, 74621287901, 76233413141, 81948881447, 115826556611, 129077263697

Offset

1,1

Comments

Dickson's conjecture implies that this sequence is infinite. [Charles R Greathouse IV, Jun 03 2011]

Links

Zak Seidov, Table of n, a(n) for n = 1..464

Prog

(PARI) isokp(p) = {for (n=1, 10, if (! isprime(subst(x^2+x+p, x, n)), return (0)); ); 1; }
lista(nn) = {forprime (p=1, nn, if (isokp(p), print1(p, ", ")); ); } \\ Michel Marcus, Jan 05 2015

Crossrefs

Subsequence of A191456. Cf. A187060, A190800.

Sequence in context: A287308 A355700 A090295 * A191458 A253592 A253605

Adjacent sequences: A191454 A191455 A191456 * A191458 A191459 A191460

Keyword

nonn

Author

Zak Seidov, Jun 02 2011

Status

approved