A165614 Primes of the form 1 + prime(k) + (prime(k + 1))^2 + (prime(k + 2))^3 + (prime(k + 3))^4 for some k.

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

Harvey P. Dale, Table of n, a(n) for n = 1..5000

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

Adjacent sequences: A165611 A165612 A165613 * A165615 A165616 A165617

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Sep 22 2009

Extensions

Definition clarified - R. J. Mathar, Oct 05 2009

Status

approved