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A165614
Primes of the form 1 + prime(k) + (prime(k + 1))^2 + (prime(k + 2))^3 + (prime(k + 3))^4 for some k.
1
15013, 29947, 85847, 287003, 1513364201, 106487271217, 357496242329, 403978515383, 459328620433, 592202893027, 689515796537, 745616750069, 965433908149, 1268409806933, 1278025436593, 5052343682767, 8777496441409
OFFSET
1,1
COMMENTS
Generated by starting indices k = 1, 2, 3, 5, 41, 101, 133, 135, 139, 147, 152, 154, 163, 174, 175..
LINKS
MATHEMATICA
lst={}; Do[p=Prime[n+0]^0+Prime[n+1]^1+Prime[n+2]^2+Prime[n+3]^3+Prime[n+4]^4; If[PrimeQ[p], AppendTo[lst, p]], {n, 6!}]; lst
Select[1+#[[1]]+#[[2]]^2+#[[3]]^3+#[[4]]^4&/@Partition[Prime[Range[350]], 4, 1], PrimeQ] (* Harvey P. Dale, Nov 27 2012 *)
CROSSREFS
Sequence in context: A234654 A064730 A081635 * A104875 A046391 A339938
KEYWORD
nonn
AUTHOR
EXTENSIONS
Definition clarified - R. J. Mathar, Oct 05 2009
STATUS
approved