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Search: id:A062699
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A062699 Numbers n such that sigma(n)=phi(n)*2. +0
14
3, 35, 1045, 24871, 29029, 50065, 58435, 64285, 87685, 137885, 140335, 1390753, 1529983, 1739507, 2011009, 2086903, 3189625, 3281663, 3501605, 3722875, 3830827, 3852155, 6605945, 7711405, 8409305, 9815195 (list; graph; listen)
OFFSET

1,1

COMMENT

3 is the only prime term of this sequence. There is no term of the form p^k where p is a prime and k>1. All terms are odd because if n is even then 2*phi(n)=phi(2n)<=n<sigma(n). - Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Apr 01 2005, Feb 24 2007

PROGRAM

(PARI) for(n=1, 500000, if(sigma(n)==eulerphi(n)*2, print(n)))

CROSSREFS

Cf. A068390, A104900, A104901.

Sequence in context: A129505 A135516 A107712 this_sequence A012767 A136525 A136556

Adjacent sequences: A062696 A062697 A062698 this_sequence A062700 A062701 A062702

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jul 11 2001

EXTENSIONS

More terms from Labos E. (labos(AT)ana.sote.hu), Nov 23 2001

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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