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A132793 Numbers n such that sigma(phi(n))-phi(n)=phi(sigma(n)-n). +0
2
1, 3, 70, 138, 792, 924, 1692, 1932, 2124, 2250, 2988, 3852, 30936, 112644, 189252, 240120, 261660, 263928, 338760, 364308, 379470, 390432, 504216, 529110, 785568, 862290, 917700, 979596, 1022310, 1124220, 1404270, 1434072, 2004372, 2526000 (list; graph; listen)
OFFSET

1,2

COMMENT

Used sigma(n)-n, namely the sum of proper divisors.

MAPLE

with(numtheory); P:=proc(n) local i, j, k; for i from 1 by 1 to n do j:=sigma(phi(i))-phi(i); k:=phi(sigma(i)-i); if j=k then print(i); fi; od; end: P(150000);

PROGRAM

(PARI) isA132793(n)={ if( sigma(eulerphi(n))-eulerphi(n) == eulerphi(sigma(n)-n), 1, 0 ) ; } { for(n=2, 6000000, if(isA132793(n), print(n) ; ) ; ) ; } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 11 2007

CROSSREFS

Cf. A000010, A000203, A001229, A018784, A033632, A132794.

Sequence in context: A012096 A012074 A037109 this_sequence A061173 A000282 A140048

Adjacent sequences: A132790 A132791 A132792 this_sequence A132794 A132795 A132796

KEYWORD

nonn

AUTHOR

Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Aug 31 2007

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 11 2007

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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