A062412 a(n) = Sum_{k=1..n} (k^n + (prime(k) - 1)^n).

2, 10, 109, 1923, 113258, 4103972, 315764017, 15871339589, 1481092410586, 327513561563174, 26675659416361181, 5516357252651388375, 864424420824670346866, 86799914926048613598024

Offset

1,1

References

D. M. Burton, Elementary Number Theory, Allyn and Bacon, Inc., Boston, MA, 1976. p. 169.

Links

Harry J. Smith, Table of n, a(n) for n = 1..100

Example

a(3) = 109 because 1^3 + 2^3 + 3^3 + 1^3 + 2^3 + 4^3 = 109.

Prog

(PARI) a(n)={sum(k=1, n, (k^n) + (prime(k) - 1)^n)}

Crossrefs

Sequence in context: A343307 A003167 A240625 * A212491 A364409 A006608

Adjacent sequences: A062409 A062410 A062411 * A062413 A062414 A062415

Keyword

easy,nonn

Author

Jason Earls, Jul 09 2001

Status

approved