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A063784 Primes obtained as a sum of cube of divisors of an integer. +0
2
73, 757, 1772893, 48551233240513, 378890487846991, 3156404483062657, 17390284913300671, 280343912759041771, 319913861581383373, 487014306953858713, 7824668707707203971, 8443914727229480773 (list; graph; listen)
OFFSET

1,1

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,1000

FORMULA

Primes of form p = DivisorSigma[3, x].

EXAMPLE

sigma[3,9]=1+27+729=757, a prime.

PROGRAM

(PARI) { n=0; p=0; for (m=1, 10^9, p=nextprime(p+1); if(isprime(q=p^6 + p^3 + 1), write("b063784.txt", n++, " ", q); if (n==1000, break)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 31 2009]

CROSSREFS

A023194.

Sequence in context: A167187 A133753 A137835 this_sequence A066101 A100412 A104907

Adjacent sequences: A063781 A063782 A063783 this_sequence A063785 A063786 A063787

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Aug 17 2001

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Last modified December 11 12:52 EST 2009. Contains 170569 sequences.


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