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A068229 Primes congruent to 7 (mod 12). 31
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
FORMULA
a(n) ~ 4n log n. - Charles R Greathouse IV, Dec 07 2022
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
Sequence in context: A030549 A017605 A126194 * A323594 A071696 A216530
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 March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)