A160932 Primes of the form Sum_{i=1..6} (k+i)^i with k>=0.

50069, 1063529, 1878689, 5091371, 35501201, 66586259, 153392381, 252394199, 319025849, 1325973791, 3082004021, 4188361319, 119234717909, 790574486879, 894515522081, 1071617160899, 3844244233499, 4032260016749, 4431338896511

Offset

1,1

Comments

Values of k are 0, 4, 5, ... (A160934).

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

k=0: 1^1+2^2+3^3+4^4+5^5+6^6 = 50069; k=4: 5^1+6^2+7^3+8^4+9^5+10^6 = 1063529

Maple

select(isprime, [seq((k+1)^1+(k+2)^2+(k+3)^3+(k+4)^4+(k+5)^5+(k+6)^6, k=0..1000)]); # Robert Israel, Jan 13 2026

Mathematica

f[n_]:=(k+1)^1+(k+2)^2+(k+3)^3+(k+4)^4+(k+5)^5+(k+6)^6; lst={}; Do[a=f[n]; If[PrimeQ[a], AppendTo[lst, a]], {n, 0, 7!}]; lst

Crossrefs

Cf. A027886, A160934

Sequence in context: A249540 A271115 A269475 * A268279 A202490 A105001

Adjacent sequences: A160929 A160930 A160931 * A160933 A160934 A160935

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, May 30 2009

Extensions

Edited by Charles R Greathouse IV, Oct 08 2009

Status

approved