A104129 Integers of the form p^(p-1)+p where p is prime.

4, 12, 630, 117656, 25937424612, 23298085122494, 48661191875666868498, 104127350297911241532860, 907846434775996175406740561352, 88540901833145211536614766025207452637390

Offset: 1

Author

Cino Hilliard, Mar 06 2005

Keywords

• easy
• nonn

Comments

Sum of the reciprocals 1/a(n) rapidly converges to 0.3349291343132812638... - R. J. Mathar, Apr 27 2007

Crossrefs

Cf. A000040, A005097, A036878, A085531.

Programs

Mathematica

#^(#-1)+#&/@Prime[Range[10]] (* Harvey P. Dale, Mar 23 2025 *)

Formula

From R. J. Mathar, Apr 27 2007: (Start)

a(n) = A036878(n)+p where p=A000040(n).

For p>2, a(n) = p*[1+A085531(A005097(n-1))]. (End)

Extensions

Edited by R. J. Mathar, Apr 27 2007