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A068420 Numbers n such that sigma(n)=4*(n-phi(n)). +0
2
3, 99, 168, 780, 1836, 2976, 5928, 6201, 6468, 13888, 48768, 75696, 123216, 227584, 285948, 401952, 437664, 1003000, 2058732, 3302592, 3810624, 4031488, 4258496, 4318656, 6713664, 14188992, 32021613, 93298284 (list; graph; listen)
OFFSET

1,1

COMMENT

If 2^p-1 is a prime (a Mersenne prime) greater than 3 then 3*2^p*(2^p-1) is in the sequence (the proof is easy). The sequence A110075 gives such terms of this sequence. - Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Jul 27 2005

PROGRAM

(PARI) for(n=1, 100000000, if(sigma(n)==4*(n-eulerphi(n)), print1(n, ", ")))

CROSSREFS

Cf. A000668, A110075.

Adjacent sequences: A068417 A068418 A068419 this_sequence A068421 A068422 A068423

Sequence in context: A107173 A100494 A057014 this_sequence A128296 A037114 A069457

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 02 2002

EXTENSIONS

More terms from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Apr 03 2002

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Last modified October 5 16:50 EDT 2008. Contains 144613 sequences.


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