A360652 Primes of the form x^2 + 432*y^2.

433, 457, 601, 1657, 1753, 1777, 1801, 2017, 2089, 2113, 2281, 2689, 2833, 2953, 3457, 3889, 4057, 4129, 4153, 4177, 4513, 4657, 4729, 5113, 5209, 5449, 5569, 5737, 5953, 6217, 6361, 6673, 6961, 7057, 7321, 7369, 7537, 7753, 7873, 8353, 8377, 8713, 8761, 8929

Offset: 1

Author

Arkadiusz Wesolowski, Feb 15 2023

Keywords

• nonn

Comments

Supersequence of A351332. Thus every prime congruent to 1 mod 3 that divides a Fermat number is in this sequence.

Every Fermat number that is a semiprime has a prime of this form as a factor.

Links

• Arkadiusz Wesolowski, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A014752, A023394, A229850, A351332.

Programs

Magma

[p: p in PrimesUpTo(8929) | NormEquation(432, p) eq true];

PARI

select(p->my(m=Mod(2, p)^(p\12)); p>11 && (m==1||m==p-1), primes(1110))