A259631 Numbers k such that the Phi_3(10^10000+k) is prime, where Phi is a cyclic polynomial.

8929, 45937, 49256, 50060, 76204, 76855, 125708, 127919, 137050, 137335, 137944, 147466, 163822, 193939, 267131, 295882, 299977, 312610, 322255, 322499, 322988, 370763, 403085, 436060, 458119, 571253, 574597, 601558, 610697, 626978, 627820, 630109, 647039

Offset: 1

Author

Robert Price, Aug 05 2015

Keywords

• nonn

Comments

a(53) > 10^6.

Links

• Robert Price, Table of n, a(n) for n = 1..52

Crossrefs

Cf. A002061, A002383, A002384.

Programs

Mathematica

Select[Range[1, 10^6], PrimeQ[(10^10000 + #)^2 + (10^10000 + #) + 1] &]

PARI

is(k)=ispseudoprime(subst('x^2+'x+1,'x,10^10000+k)) \\ Charles R Greathouse IV, Aug 05 2015

PFGW

ABC2 (10^10000+$a)^2 + (10^10000+$a) + 1
a: from 1 to 10000
Charles R Greathouse IV, Aug 05 2015