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A068228 Primes congruent to 1 (mod 12). 54
13, 37, 61, 73, 97, 109, 157, 181, 193, 229, 241, 277, 313, 337, 349, 373, 397, 409, 421, 433, 457, 541, 577, 601, 613, 661, 673, 709, 733, 757, 769, 829, 853, 877, 937, 997, 1009, 1021, 1033, 1069, 1093, 1117, 1129, 1153, 1201, 1213, 1237, 1249, 1297 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes of the form x^2+9y^2. - T. D. Noe, May 07 2005

Also primes of the form x^2+12y^2. See A140633. - T. D. Noe, May 19 2008

Is this the same as A141122? - Artur Jasinski, Jun 09 2008

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

J. Voight, Quadratic forms that represent almost the same primes, Math. Comp., Vol. 76 (2007), pp. 1589-1617.

MATHEMATICA

Select[Prime/@Range[250], Mod[ #, 12]==1&]

Select[Range[13, 10^4, 12], PrimeQ] (* Zak Seidov, Mar 21 2011 *)

PROG

(PARI) for(i=1, 250, if(prime(i)%12==1, print(prime(i))))

(PARI) forstep(p=13, 10^4, 12, isprime(p)&print(p)); \\ Zak Seidov, Mar 21 2011

(MAGMA) [p: p in PrimesUpTo(1400) | p mod 12 in {1}]; // Vincenzo Librandi, Jul 14 2012

CROSSREFS

Cf. A068227, A068229, A040117, A068231, A068232, A068233, A068234, A068235.

Subsequence of A084916.

Cf. A139643.

Sequence in context: A238675 A140112 A089030 * A141122 A031339 A034938

Adjacent sequences:  A068225 A068226 A068227 * A068229 A068230 A068231

KEYWORD

easy,nonn

AUTHOR

Ferenc Adorjan (fadorjan(AT)freemail.hu), Feb 22 2002

EXTENSIONS

Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Feb 27 2002

STATUS

approved

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Last modified April 19 17:19 EDT 2014. Contains 240762 sequences.