OFFSET
1,1
COMMENTS
From Jianing Song, Apr 21 2022: (Start)
Primes p such that Kronecker(13, p) = Kronecker(p, 13) = 1, where Kronecker() is the Kronecker symbol. That is to say, primes p that are quadratic residues modulo 13.
Primes p such that p^6 == 1 (mod 13).
Primes p == 1, 3, 4, 9, 10, 12 (mod 13). (End)
LINKS
FORMULA
Equals A038883 \ {13}. - Jianing Song, Apr 21 2022
MAPLE
PROG
(PARI) isA296937(p) = isprime(p) && kronecker(p, 13) == 1 \\ Jianing Song, Apr 21 2022
CROSSREFS
Rational primes that decompose in the quadratic field with discriminant D: A139513 (D=-20), A191019 (D=-19), A191018 (D=-15), A296920 (D=-11), A033200 (D=-8), A045386 (D=-7), A002144 (D=-4), A002476 (D=-3), A045468 (D=5), A001132 (D=8), A097933 (D=12), this sequence (D=13), A296938 (D=17).
Cf. A038884 (inert rational primes in the field Q(sqrt(13))).
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 26 2017
STATUS
approved