|
Search: id:A006278
|
|
|
| A006278 |
|
Numbers that are a product of successive primes congruent to 1 (mod 4). |
|
+0
4
|
|
| 5, 65, 1105, 32045, 1185665, 48612265, 2576450045, 157163452745, 11472932050385, 1021090952484265, 99045822390973705, 10003628061488344205, 1090395458702229518345, 123214686833351935572985
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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
|
|
LINKS
|
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.
|
|
MATHEMATICA
|
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]
|
|
CROSSREFS
|
Cf. A002110, A078586.
Sequence in context: A155653 A087453 A103974 this_sequence A121822 A056245 A079482
Adjacent sequences: A006275 A006276 A006277 this_sequence A006279 A006280 A006281
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Gene_Salamin(AT)cohr.com
|
|
|
Search completed in 0.002 seconds
|
