login
A140433
Primes of the form n^0+(n+1)^1+(n+2)^2+(n+3)^3+(n+4)^4.
0
701, 2647, 4481, 7129, 15731, 53551, 110161, 405001, 473201, 549667, 1079297, 1541051, 1922077, 6892651, 8654689, 10734697, 13168801, 15995071, 30380849, 33789601, 55322081, 72401057, 85800961, 113622391, 147716801, 238297249
OFFSET
1,1
EXAMPLE
n=1->701, n=3->247, n=4->4481, n=5->7129, n=7->15731, n=11->53551,...
(1+0)^0+(1+1)^1+(1+2)^2+(1+3)^3+(1+4)^4=1+2+9+64+625=701
MATHEMATICA
lst={}; Do[p=n^0+(n+1)^1+(n+2)^2+(n+3)^3+(n+4)^4; If[PrimeQ[p], AppendTo[lst, p]], {n, 2*5!}]; lst
Select[1+#[[1]]+#[[2]]^2+#[[3]]^3+#[[4]]^4&/@Partition[ Range[ 200], 5, 1], PrimeQ] (* Harvey P. Dale, Jan 11 2019 *)
CROSSREFS
Sequence in context: A223351 A180469 A031423 * A316969 A303689 A252567
KEYWORD
nonn
AUTHOR
Vladimir Joseph Stephan Orlovsky, Jun 19 2008, Jan 30 2009
EXTENSIONS
Edited by N. J. A. Sloane, Aug 15 2010 at the suggestion of D. S. McNeil
STATUS
approved