

A157437


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


3



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
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OFFSET

1,1


COMMENTS

Also, primes p that divide A085606((p1)/2) = ((p1)/21)^((p1)/2)  1. Primes p such that p^2 divide A085606((p1)/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

Table of n, a(n) for n=1..55.
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 A330775 A031134
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



