A144125 Primes of the form P_4(n) where P_4(n) is the Legendre polynomial of order 4 at n.

10321, 63601, 364321, 1706641, 3091201, 4036801, 12356401, 25212001, 88144321, 124222321, 1068056641, 1368874321, 1541134321, 1829380321, 3088264321, 3568714801, 9348110641, 11616472321, 12031309201, 13342670641, 15762902641

Offset

1,1

Comments

This sequence is infinite under Bunyakovsky's conjecture. [Charles R Greathouse IV, Oct 25 2011]

Links

Table of n, a(n) for n=1..21.

Mathematica

lst={}; Do[p=LegendreP[4, n]; If[PrimeQ[p], AppendTo[lst, p]], {n, 1, 10^3, 2}]; lst
Select[LegendreP[4, Range[1, 301, 2]], PrimeQ] (* Harvey P. Dale, Jul 18 2013 *)

Prog

(PARI) forstep(n=1, 1e4, 2, if(isprime(t=pollegendre(4, n)), print1(t", "))) \\ Charles R Greathouse IV, Oct 25 2011

Crossrefs

Sequence in context: A255658 A178582 A178584 * A097695 A031803 A234907

Adjacent sequences: A144122 A144123 A144124 * A144126 A144127 A144128

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Sep 11 2008

Status

approved