A062457 a(n) = prime(n)^n.

2, 9, 125, 2401, 161051, 4826809, 410338673, 16983563041, 1801152661463, 420707233300201, 25408476896404831, 6582952005840035281, 925103102315013629321, 73885357344138503765449, 12063348350820368238715343, 3876269050118516845397872321

Offset: 1

Author

Labos Elemer, Jul 09 2001

Keywords

• easy
• nonn

Comments

Heinz numbers of square integer partitions, where the Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k). - Gus Wiseman, Apr 14 2018

Main diagonal of A182944. - Omar E. Pol, Sep 12 2018

Second diagonal of A319075. - Omar E. Pol, Sep 13 2018

Links

• T. D. Noe, Table of n, a(n) for n = 1..100

Crossrefs

Cf. A000040, A000312, A000720, A000961, A001222, A051674, A062006, A076146, A093358, A201614, A275024, A302242, A302493, A302498, A319075.

Programs

Magma

[NthPrime(n)^n : n in [1..20]]; // Wesley Ivan Hurt, Jan 18 2016

Maple

A062457:=n->ithprime(n)^n: seq(A062457(n), n=1..20); # Wesley Ivan Hurt, Jan 18 2016

Mathematica

Table[Prime[n]^n, {n,20}] (* Harvey P. Dale, Jun 22 2011 *)

PARI

a(n) = prime(n)^n; \\ Harry J. Smith, Aug 07 2009

Formula

a(n) = A062006(n) - 1. - Wesley Ivan Hurt, Jan 18 2016

From Amiram Eldar, Nov 16 2020: (Start)

Sum_{n>=1} 1/a(n) = A093358.

Sum_{n>=1} (-1)^(n+1)/a(n) = A201614. (End)