Search: id:A007519
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%I A007519 M5037
%S A007519 17,41,73,89,97,113,137,193,233,241,257,281,313,337,353,401,409,433,449,
%T A007519 457,521,569,577,593,601,617,641,673,761,769,809,857,881,929,937,953,977,
%U A007519 1009,1033,1049,1097,1129,1153,1193,1201,1217,1249,1289,1297,1321,1361
%N A007519 Primes of form 8n+1, that is, primes congruent to 1 mod 8.
%C A007519 Integers n (n>9) of form 4k+1 such that binomial(n-1,(n-1)/4) == 1 (mod 
               n) - Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 07 2004
%C A007519 Primes of the form x^2+8y^2. - T. D. Noe (noe(AT)sspectra.com), May 07 
               2005
%C A007519 Also primes of the form x^2+16y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), 
               May 19 2008
%C A007519 Is this the same sequence as A141174?
%C A007519 Contribution from Tito Piezas III (tpiezas(AT)gmail.com), Dec 28 2008: 
               (Start)
%C A007519 See also remarks in A141174. Being a subset of A001132, this is also 
               a subset of the primes of form u^2-2v^2. (End)
%D A007519 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, 
               National Bureau of Standards Applied Math. Series 55, 1964 (and various 
               reprintings), p. 870.
%D A007519 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A007519 T. D. Noe, <a href="b007519.txt">Table of n, a(n) for n=1..1000</a>
%H A007519 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.nrbook.com/
               abramowitz_and_stegun/">Handbook of Mathematical Functions</a>, National 
               Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 
               [alternative scanned copy].
%t A007519 a={};Do[x=8*n+1;If[PrimeQ[x],AppendTo[a,x]],{n,10^2}];a - Vladimir Orlovsky 
               (4vladimir(AT)gmail.com), Apr 29 2008
%Y A007519 Cf. A139643. Complement in primes of A154264. Cf. A042987.
%Y A007519 Sequence in context: A089200 A004625 A141174 this_sequence A163185 A138005 
               A166147
%Y A007519 Adjacent sequences: A007516 A007517 A007518 this_sequence A007520 A007521 
               A007522
%K A007519 nonn,easy
%O A007519 1,1
%A A007519 N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)

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