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A063785 Numbers n such that sigma(n) = 2n + omega(n), where omega(n) is the number of distinct prime divisors of n. +0
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20, 104, 464, 1952, 4030, 5830, 130304, 522752, 1848964, 8382464, 134193152 (list; graph; listen)
OFFSET

1,1

COMMENT

It is easily proved that if 2^m-3 is prime then 2^(m-1)*(2^m-3) is in the sequence. - Farideh Firoozbakht (mymontain(AT)yahoo.com), Feb 12 2008

PROGRAM

(PARI) for(n=1, 10^8, if(sigma(n)==2*n+omega(n), print(n)))

CROSSREFS

Cf. A045768.

Sequence in context: A071334 A045768 A088831 this_sequence A135174 A109854 A008383

Adjacent sequences: A063782 A063783 A063784 this_sequence A063786 A063787 A063788

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Aug 17 2001

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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