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A040117 Primes congruent to 5 (mod 12). Also primes p such that x^4 = 9 has no solution mod p. +0
15
5, 17, 29, 41, 53, 89, 101, 113, 137, 149, 173, 197, 233, 257, 269, 281, 293, 317, 353, 389, 401, 449, 461, 509, 521, 557, 569, 593, 617, 641, 653, 677, 701, 761, 773, 797, 809, 821, 857, 881, 929, 941, 953, 977, 1013, 1049, 1061, 1097, 1109, 1181, 1193 (list; graph; listen)
OFFSET

1,1

COMMENT

Primes of the form 2x^2-2xy+5y^2 with x and y nonnegative. - T. D. Noe (noe(AT)sspectra.com), May 08 2005

MATHEMATICA

Select[Prime/@Range[250], Mod[ #, 12]==5&]

PROGRAM

(PARI) for(i=1, 250, if(prime(i)%12==5, print(prime(i))))

CROSSREFS

Cf. A068227, A068228, A068229, A068231, A068232, A068233, A068234, A068235.

Sequence in context: A030554 A017581 A068230 this_sequence A126193 A074965 A071695

Adjacent sequences: A040114 A040115 A040116 this_sequence A040118 A040119 A040120

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

More terms from Dean Hickerson (dean(AT)math.ucdavis.edu), Feb 27 2002

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Last modified July 19 08:04 EDT 2008. Contains 142098 sequences.


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