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

Author

Alexander Adamchuk, Mar 01 2009

Keywords

• nonn

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

Crossrefs

Cf. A085606, A157438.

Programs

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 *)

Extensions

Extended by Max Alekseyev, May 30 2009

New name from Max Alekseyev, Jan 04 2018