id:A067582 - OEIS Search Results

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Nonprime values of n such that bigomega(n)^omega(n)=omega(n)^bigomega(n) where bigomega(n) is the number of prime factors of n (counted with multiplicity) and omega(n) the number of distinct prime factors of n.

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1, 6, 10, 14, 15, 21, 22, 24, 26, 30, 33, 34, 35, 36, 38, 39, 40, 42, 46, 51, 54, 55, 56, 57, 58, 62, 65, 66, 69, 70, 74, 77, 78, 82, 85, 86, 87, 88, 91, 93, 94, 95, 100, 102, 104, 105, 106, 110, 111, 114, 115, 118, 119, 122, 123, 129, 130, 133, 134, 135, 136, 138, 141 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Consists of nonprime square-free numbers A000469(n), and numbers of the forms pq^3 and p^2q^2 for distinct primes p and q. (The solutions in positive integers of x^y=y^x are x=y and {x,y}={2,4}. The first case gives the square-free numbers; the second gives the other two forms.)`
	CROSSREFS	`Sequence in context: A063763 A115956 A066073 this_sequence A119847 A119899 A130092` `Adjacent sequences: A067579 A067580 A067581 this_sequence A067583 A067584 A067585`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 30 2002`
	EXTENSIONS	`Edited by Dean Hickerson (dean(AT)math.ucdavis.edu), Jun 18 2002`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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