id:A109752 - OEIS Search Results

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Using the dismal product (see A087062 for definition), numbers n such that if n divides a*b, then n must divide either a or b. The multiplicative identity, 9, is excluded by convention.

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1, 2, 3, 4, 5, 6, 7, 8, 90 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`This condition is one of the definitions of a prime, so these numbers could be called dismal primes (cf. A087097).`
	LINKS	`Index entries for sequences related to dismal arithmetic`
	EXAMPLE	`90 is a member because the dismal multiples of 90 are the same as the numbers ending with a 0 and if neither a nor b ends in 0, then neither does a*b.`
	CROSSREFS	`Cf. A087062, A087097.` `Sequence in context: A024656 A043313 A044910 this_sequence A098755 A028430 A154701` `Adjacent sequences: A109749 A109750 A109751 this_sequence A109753 A109754 A109755`
	KEYWORD	`base,fini,full,nonn,less`
	AUTHOR	`David Wasserman (wasserma(AT)spawar.navy.mil), Aug 11 2005`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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