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

Author

Jason Earls, Jun 27 2001

Keywords

• easy
• nonn

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

Crossrefs

Equals A062457(n) + 1.

Programs

Magma

[NthPrime(n)^n+1 : n in [1..20]]; // Vincenzo Librandi, Jun 24 2015

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 *)

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

Formula

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