A144127 Primes of the form P_6(n) where P_k(n) is the Legendre polynomial of order k at n.

1651609, 346843729, 1234422421, 8573842621, 68524008841, 91197383509, 199720105201, 253913232301, 1305596196829, 3008406075949, 3508808350321, 4076728993681, 21664213900309, 45306839594521, 66526499195521

Offset

1,1

Comments

This sequence is infinite under Bunyakovsky's conjecture. [Charles R Greathouse IV, Oct 26 2011]

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Formula

Primes of the form 924n^6 + 2772n^5 + 3150n^4 + 1680n^3 + 420n^2 + 42n + 1. [Charles R Greathouse IV, Oct 26 2011]

Mathematica

lst={}; Do[p=LegendreP[6, n]; If[PrimeQ[p], AppendTo[lst, p]], {n, 1, 7^3, 2}]; lst

Prog

(PARI) forstep(n=1, 1e4, 2, if(isprime(t=pollegendre(6, n)), print1(t", ")))

Crossrefs

Sequence in context: A205985 A258953 A342429 * A072922 A204762 A333512

Adjacent sequences: A144124 A144125 A144126 * A144128 A144129 A144130

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Sep 11 2008

Status

approved