A062006 a(n) = prime(n)^n + 1.

3, 10, 126, 2402, 161052, 4826810, 410338674, 16983563042, 1801152661464, 420707233300202, 25408476896404832, 6582952005840035282, 925103102315013629322, 73885357344138503765450, 12063348350820368238715344, 3876269050118516845397872322

Offset

1,1

Comments

Sum of the n-th powers of the divisors of the n-th prime. - Wesley Ivan Hurt, Jan 17 2016

References

D. M. Burton, Elementary Number Theory, Allyn and Bacon, Inc. Boston, MA, 1976, pp. 56.

Links

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

Formula

a(n) = prime(n)^n + 1.

Maple

A062006:=n->ithprime(n)^n+1: seq(A062006(n), n=1..20); # Wesley Ivan Hurt, Jan 18 2016

Mathematica

Table[Prime[n]^n + 1, {n, 20}] (* Harvey P. Dale, Dec 23 2013 *)

Prog

(PARI) for(n=1, 22, print1(prime(n)^n+1, ", "))
(PARI) for (n=1, 100, a=2, a=prime(n)^n + 1; write("b062006.txt", n, " ", a) ) \\ Harry J. Smith, Jul 29 2009
(Magma) [NthPrime(n)^n+1 : n in [1..20]]; // Vincenzo Librandi, Jun 24 2015

Crossrefs

Equals A062457(n) + 1.

Sequence in context: A242473 A282410 A290059 * A199036 A173415 A199232

Adjacent sequences: A062003 A062004 A062005 * A062007 A062008 A062009

Keyword

easy,nonn

Author

Jason Earls, Jun 27 2001

Status

approved