A138405 a(n) = prime(n)^5 - prime(n)^2.

28, 234, 3100, 16758, 160930, 371124, 1419568, 2475738, 6435814, 20510308, 28628190, 69342588, 115854520, 147006594, 229342798, 418192684, 714920818, 844592580, 1350120618, 1804224310, 2073066264, 3077050158, 3939033754, 5584051528, 8587330848, 10510090300

Offset: 1

Author

Artur Jasinski, Mar 19 2008

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..200
• Index to sequences related to prime powers

Crossrefs

Cf. A001248, A030078, A050997, A138431.

Programs

Magma

[NthPrime((n))^5 - NthPrime((n))^2: n in [1..30] ]; // Vincenzo Librandi, Jun 17 2011

Mathematica

a = {}; Do[p = Prime[n]; AppendTo[a, p^5 - p^2], {n, 1, 50}]; a

PARI

forprime(p=2,1e3,print1(p^5-p^2", ")) \\ Charles R Greathouse IV, Jun 16 2011

Formula

a(n) = A001248(n)*(A030078(n) - 1). - Elmo R. Oliveira, Jan 14 2023

From Alois P. Heinz, Jan 17 2023: (Start)

a(n) = 2 * A138431(n).

a(n) = A050997(n) - A001248(n). (End)