A157437 Primes congruent to 1, 5, 7, or 11 modulo 24.

5, 7, 11, 29, 31, 53, 59, 73, 79, 83, 97, 101, 103, 107, 127, 131, 149, 151, 173, 179, 193, 197, 199, 223, 227, 241, 251, 269, 271, 293, 313, 317, 337, 347, 367, 389, 409, 419, 433, 439, 443, 457, 461, 463, 467, 487, 491, 509, 557, 563, 577, 587, 601, 607, 631

Offset

1,1

Comments

Also, primes p that divide A085606((p-1)/2) = ((p-1)/2-1)^((p-1)/2) - 1. Primes p such that p^2 divide A085606((p-1)/2) are listed in A157438.

Also, primes p>3 such -6 is a square modulo p. - Max Alekseyev, May 30 2009

Rational primes that decompose in the field Q(sqrt(-6)). - N. J. A. Sloane, Dec 25 2017

Links

Robert Price, Table of n, a(n) for n = 1..9990

Index to sequences related to decomposition of primes in quadratic fields

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#, 6] == 1 &] (* T. D. Noe, Aug 17 2011 *)
Select[Prime[Range[200]], MemberQ[{1, 5, 7, 11}, Mod[#, 24]]&] (* Harvey P. Dale, May 25 2018 *)

Crossrefs

Cf. A085606, A157438.

Sequence in context: A036490 A106330 A057247 * A213677 A386660 A330775

Adjacent sequences: A157434 A157435 A157436 * A157438 A157439 A157440

Keyword

nonn

Author

Alexander Adamchuk, Mar 01 2009

Extensions

Extended by Max Alekseyev, May 30 2009

New name from Max Alekseyev, Jan 04 2018

Status

approved