Search: id:A006278
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%I A006278
%S A006278 5,65,1105,32045,1185665,48612265,2576450045,157163452745,
%T A006278 11472932050385,1021090952484265,99045822390973705,10003628061488344205,
%U A006278 1090395458702229518345,123214686833351935572985
%N A006278 Numbers that are a product of successive primes congruent to 1 (mod 4).
%C A006278 a(n)+2 is prime for n=0,1. No others are prime for n <= 200. Compare 
               A002110 and A078586. - T. D. Noe (noe(AT)sspectra.com), Dec 01 2002
%C A006278 Also, a(n) is least hypotenuse of exactly A003462(n+1) Pythagorean triangles 
               of which 2^n are primitive. - Lekraj Beedassy (blekraj(AT)yahoo.com), 
               Dec 06 2003
%H A006278 T. D. Noe, <a href="b006278.txt">Table of n, a(n) for n=1..100</a>
%H A006278 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PythagoreanTriple.html">Link to a section of The World of Mathematics.</
               a>
%t A006278 maxN=15; pLst={}; k=0; While[Length[pLst]<maxN, k++; If[PrimeQ[4k+1], 
               AppendTo[pLst, 4k+1]]]; lst=Drop[FoldList[Times, 1, pLst], 1]
%Y A006278 Cf. A002110, A078586.
%Y A006278 Sequence in context: A155653 A087453 A103974 this_sequence A121822 A056245 
               A079482
%Y A006278 Adjacent sequences: A006275 A006276 A006277 this_sequence A006279 A006280 
               A006281
%K A006278 nonn
%O A006278 1,1
%A A006278 Gene_Salamin(AT)cohr.com

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