A191458 Primes p such that the polynomial x^2+x+p generates only primes for x=1..11.

17, 41, 1761702947, 8776320587, 10102729577, 11085833111, 177558051107, 273373448057, 473787509537, 557149355507, 715464238661, 1359854730821, 2131528031441, 2170341748697, 2236159108277, 2308235320997, 2751203698151, 3247566894821, 3288002848511, 3424305123047

Offset

1,1

Comments

Subsequence of A191457.

The sequence is infinite under Dickson's conjecture. - Charles R Greathouse IV, Oct 11 2011

Links

Charles R Greathouse IV and Zak Seidov, Table of n, a(n) for n = 1..79

Mathematica

Select[Table[Prime[i], {i, 10^5}],
AllTrue[Table[x^2 + x + #, {x, 11}], PrimeQ] &] (* Robert Price, Sep 20 2025 *)

Prog

(PARI) is(n)=for(x=0, 11, if(!isprime(x^2+x+n), return(0))); 1 \\ Charles R Greathouse IV, Sep 14 2015

Crossrefs

Cf. A187060, A190800, A191456, A191457.

Sequence in context: A355700 A090295 A191457 * A253592 A253605 A044094

Adjacent sequences: A191455 A191456 A191457 * A191459 A191460 A191461

Keyword

nonn

Author

Zak Seidov, Jun 02 2011

Extensions

a(12)-a(20) from Charles R Greathouse IV, Oct 17 2011

Status

approved