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A045419 Primes congruent to {1, 3, 7} mod 8. 1
3, 7, 11, 17, 19, 23, 31, 41, 43, 47, 59, 67, 71, 73, 79, 83, 89, 97, 103, 107, 113, 127, 131, 137, 139, 151, 163, 167, 179, 191, 193, 199, 211, 223, 227, 233, 239, 241, 251, 257, 263, 271, 281, 283, 307, 311, 313 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes that can be expressed as the sum of three squares, different from zero, divided by 3: (a^2+b^2+c^2)/3, with a,b and c integers different from zero Examples: (2^2+2^2+13^2)/3 = 59; (2^2+4^2+17^2)/3 = 103. - Paolo P. Lava, Jul 26 2006

LINKS

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

MATHEMATICA

Select[Prime[Range[200]], MemberQ[{1, 3, 7}, Mod[#, 8]]&] (* Vincenzo Librandi, Aug 12 2012 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(600) | p mod 8 in {1, 3, 7} ]; // Vincenzo Librandi, Aug 12 2012

CROSSREFS

Cf. A000040.

Sequence in context: A130090 A136059 A156284 * A049098 A119992 A023249

Adjacent sequences:  A045416 A045417 A045418 * A045420 A045421 A045422

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 22 10:59 EST 2019. Contains 329389 sequences. (Running on oeis4.)