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A068229 Primes congruent to 7 (mod 12). 26
7, 19, 31, 43, 67, 79, 103, 127, 139, 151, 163, 199, 211, 223, 271, 283, 307, 331, 367, 379, 439, 463, 487, 499, 523, 547, 571, 607, 619, 631, 643, 691, 727, 739, 751, 787, 811, 823, 859, 883, 907, 919, 967, 991, 1039, 1051, 1063, 1087, 1123, 1171, 1231 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes of the form 3x^2 + 4y^2. - T. D. Noe, May 08 2005

It appears that all terms starting from term 103 are primes which are the sum of 5 positive (n > 0) different squares in more than one way (A193143) - Vladimir Joseph Stephan Orlovsky, Jul 16 2011.

LINKS

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

MATHEMATICA

Select[Prime/@Range[250], Mod[#, 12] == 7 &]

PROG

(PARI) for(i=1, 250, if(prime(i)%12==7, print(prime(i))))

(MAGMA) [ p: p in PrimesUpTo(1400) | p mod 12 in {7} ]; // Vincenzo Librandi, Jul 14 2012

(PARI) is_A068229(n)={n%12==7 && isprime(n)} \\ then, e.g.,

select(is_A068229, primes(250))  \\ - M. F. Hasler, Jan 25 2013

CROSSREFS

Cf. A068227, A068228, A040117, A068231, A068232, A068233, A068234, A068235.

Sequence in context: A030549 A017605 A126194 * A071696 A216530 A114564

Adjacent sequences:  A068226 A068227 A068228 * A068230 A068231 A068232

KEYWORD

easy,nonn

AUTHOR

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

EXTENSIONS

Edited by Dean Hickerson, Feb 27 2002

STATUS

approved

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Last modified May 29 16:53 EDT 2017. Contains 287252 sequences.