A131993 1 + prime(n) + prime(n)^2 + prime(n)^3 + prime(n)^4 + prime(n)^5.

63, 364, 3906, 19608, 177156, 402234, 1508598, 2613660, 6728904, 21243690, 29583456, 71270178, 118752606, 150508644, 234330768, 426237714, 727250580, 858672906, 1370581548, 1830004056, 2101864254, 3116505840, 3987077724

Offset: 1

Author

Reinhard Zumkeller, Aug 06 2007

Keywords

• nonn

Comments

a(n) = 1 + A131992(n)*A000040(n).

Links

• Ivan Panchenko, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A050997, A008864, A060800, A131991.

Programs

Magma

[1+(&+[NthPrime(n)^(k): k in [1..5]]): n in [1..100]]; // Berselli - Librandi, Apr 20 2011

Mathematica

Total[#^Range[0,5]]&/@Prime[Range[30]]  (* Harvey P. Dale, Apr 20 2011 *)

Formula

a(n) = (A030516(n) - 1)/A006093(n).