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A065061 Numbers n such that sigma(n) - tau(n) is a prime. +0
3
3, 8, 162, 512, 1250, 8192, 31250, 32768, 41472, 663552, 2531250, 3748322, 5120000, 6837602, 7558272, 8000000, 15780962, 33554432, 35701250, 42762752, 45334242, 68024448, 75031250, 78125000, 91125000, 137149922, 243101250, 512000000 (list; graph; listen)
OFFSET

1,1

MATHEMATICA

Do[ If[ PrimeQ[ DivisorSigma[1, n] - DivisorSigma[0, n]], Print[n]], {n, 1, 10^7}]

PROGRAM

(PARI) { n=0; for (m=1, 10^9, if (isprime(sigma(m) - numdiv(m)), write("b065061.txt", n++, " ", m); if (n==100, return)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 05 2009]

CROSSREFS

I.e. A065608(n) is prime. Cf. A064205.

Sequence in context: A053605 A076147 A132563 this_sequence A007159 A081466 A092592

Adjacent sequences: A065058 A065059 A065060 this_sequence A065062 A065063 A065064

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Nov 06 2001

EXTENSIONS

a(17) - a(28) from Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 05 2009

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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