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Search: id:A006278
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| A006278 |
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Numbers that are a product of successive primes congruent to 1 (mod 4). |
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+0
4
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| 5, 65, 1105, 32045, 1185665, 48612265, 2576450045, 157163452745, 11472932050385, 1021090952484265, 99045822390973705, 10003628061488344205, 1090395458702229518345, 123214686833351935572985
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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
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
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..100
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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MATHEMATICA
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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]
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CROSSREFS
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Cf. A002110, A078586.
Adjacent sequences: A006275 A006276 A006277 this_sequence A006279 A006280 A006281
Sequence in context: A118004 A087453 A103974 this_sequence A121822 A056245 A079482
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KEYWORD
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nonn
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AUTHOR
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Gene_Salamin(AT)cohr.com
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