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A068229
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Primes congruent to 7 (mod 12).
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31
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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
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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FORMULA
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MATHEMATICA
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Select[Prime/@Range[250], Mod[#, 12] == 7 &]
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PROG
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(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.,
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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Ferenc Adorjan (fadorjan(AT)freemail.hu), Feb 22 2002
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EXTENSIONS
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STATUS
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approved
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