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A109752 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. 0
1, 2, 3, 4, 5, 6, 7, 8, 90 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

This condition is one of the definitions of a prime, so these numbers could be called dismal primes (cf. A087097).

LINKS

D. Applegate, M. LeBrun and N. J. A. Sloane, Dismal Arithmetic

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: A043313 A171679 A044910 * A098755 A028430 A171717

Adjacent sequences:  A109749 A109750 A109751 * 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 February 16 21:30 EST 2012. Contains 205971 sequences.