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Search: id:A137819
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A137819 Year numbers, i.e. phi(n) = 2 phi(sigma(n)), divisible by a 5th prime power. +0
5
1811079, 4473387, 67009923, 77242167, 88605819 (list; graph; listen)
OFFSET

1,1

COMMENT

See A137815 for more comments and references about "year numbers". This is the subsequence of elements of A137815 divisible by a 5th prime power. As such, it is of course also a subsequence of A137818 (those divisible by a 4th prime power).

There are only 5 such numbers below 10^8.

PROGRAM

(PARI) for( i=1, #A137816, vecmax(factor(A137816[i])[, 2])>4 & print1(A137816[i])", ")

(PARI) for( n=1, 10^9, issquarefree(n) && next; vecmax(factor(n)[, 2])>4 || next; eulerphi(n)==2*eulerphi(sigma(n)) && print1(n", "))

CROSSREFS

Cf. A137815-A137818.

Adjacent sequences: A137816 A137817 A137818 this_sequence A137820 A137821 A137822

Sequence in context: A017394 A017658 A043650 this_sequence A115495 A015347 A064820

KEYWORD

more,nonn

AUTHOR

Richard K. Guy (rkg(AT)cpsc.ucalgary.ca), Richard J. Mathar (mathar(AT)strw.leidenuniv.nl) and M. F. Hasler (MHasler(AT)univ-ag.fr), Feb 11 2008

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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