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A158914 Primes p such that there is a composite c with sigma_2(p)=sigma_2(c). 1
7, 47, 157, 3863 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

No other terms less than 10^8. The corresponding composite numbers are 6, 40, 136, and 3352. Is this sequence finite? See A158913 for the sequence for sigma_1.

MATHEMATICA

tp=DivisorSigma[2, Select[Range[4000], PrimeQ]]; tc=DivisorSigma[2, Select[Range[4000], !PrimeQ[ # ]&]]; Sqrt[Intersection[tp, tc]-1]

CROSSREFS

Sequence in context: A139916 A009219 A142185 * A046872 A167860 A152988

Adjacent sequences:  A158911 A158912 A158913 * A158915 A158916 A158917

KEYWORD

more,nonn

AUTHOR

T. D. Noe (noe(AT)sspectra.com), Mar 30 2009

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Last modified February 14 16:11 EST 2012. Contains 205635 sequences.