A125260 Numbers n such that n^5 + 4 is prime.

1, 7, 9, 25, 39, 45, 73, 85, 99, 147, 163, 165, 169, 189, 213, 219, 223, 225, 249, 253, 259, 279, 333, 337, 385, 433, 457, 465, 469, 477, 499, 595, 639, 643, 655, 703, 709, 715, 729, 849, 853, 895, 969, 973, 979, 987, 1065, 1075, 1077, 1093, 1165, 1239, 1255

Offset

1,2

Links

Carmine Suriano, Table of n, a(n) for n = 1..4431

Mathematica

lst={}; k=5; Do[If[PrimeQ[n^k+k-1], AppendTo[lst, n]], {n, 10^3}]; lst (* Vladimir Joseph Stephan Orlovsky, Sep 10 2008 *)
Select[Range[1300], PrimeQ[#^5+4]&] (* Harvey P. Dale, Oct 14 2019 *)

Prog

(PARI) is(n)=isprime(n^5+4) \\ Charles R Greathouse IV, Feb 17 2017

Crossrefs

Other sequences of the type "Numbers n such that n^k + k - 1 is prime": A000040 (k=1), A005574 (k=2), A067200 (k=3), A125259 (k=4), this sequence (k=5), A125261 (k=6), A125262 (k=7), A125263 (k=8), A125264 (k=10), A125265 (k=11)..

Sequence in context: A049301 A102028 A265990 * A192859 A104703 A032617

Adjacent sequences: A125257 A125258 A125259 * A125261 A125262 A125263

Keyword

nonn

Author

Zak Seidov, Nov 26 2006

Status

approved