A144131 Primes of the form T_4(n), where T_4(x) = 8x^4 - 8x^2 + 1 is the fourth Chebyshev polynomial (of the first kind).

97, 577, 4801, 32257, 79201, 305761, 665857, 1039681, 7380481, 8380417, 10681441, 11995201, 18495361, 42448897, 49980001, 54100801, 63101377, 68001121, 96911041, 110736961, 227143297, 266851201, 296071777, 398240641, 479694337

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Sep 11 2008

Keywords

• nonn

Comments

Sequence is infinite under Bunyakovsky's conjecture. - Charles R Greathouse IV, May 29 2013

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A144130.

Programs

Maple

T4:= unapply(orthopoly[T](4,x),x):
select(isprime, map(T4, [$0..300])); # Robert Israel, Apr 27 2020

Mathematica

lst={};Do[p=ChebyshevT[4,n];If[PrimeQ[p],AppendTo[lst,p]],{n,9^3}];lst

PARI

select(isprime,vector(100,n,polchebyshev(4,1,n))) \\ Charles R Greathouse IV, May 29 2013