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A003628
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Primes congruent to {5, 7} mod 8.
(Formerly M3764)
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9
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5, 7, 13, 23, 29, 31, 37, 47, 53, 61, 71, 79, 101, 103, 109, 127, 149, 151, 157, 167, 173, 181, 191, 197, 199, 223, 229, 239, 263, 269, 271, 277, 293, 311, 317, 349, 359, 367, 373, 383, 389, 397, 421, 431, 439
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Inert rational primes in Q(sqrt -2).
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REFERENCES
| H. Hasse, Number Theory, Springer-Verlag, NY, 1980, p. 498.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
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MATHEMATICA
| Select[Prime[Range[200]], MemberQ[{5, 7}, Mod[#, 8]]&] (* From Harvey P. Dale, Oct 24 2011 *)
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PROG
| (Haskell)
a003628 n = a003628_list !! (n-1)
a003628_list = [p | p <- a000040_list, mod p 8 > 3]
-- Reinhard Zumkeller, Jan 22 2012
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CROSSREFS
| Cf. A039706, A033203 (complement with respect to A000040).
Sequence in context: A207079 A167798 A165815 * A105874 A105904 A038901
Adjacent sequences: A003625 A003626 A003627 * A003629 A003630 A003631
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein
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