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

1,1

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

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

Prog

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

Crossrefs

Cf. A144130.

Sequence in context: A204710 A142765 A144130 * A362321 A130833 A130873

Adjacent sequences: A144128 A144129 A144130 * A144132 A144133 A144134

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Sep 11 2008

Status

approved