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Nine Digits Digressions - Enjoy the puzzle!

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gratispuzzelen.nl

Here are some smallest solutions such that...

5986 = 2 x 41 x 73
the digits of n and the prime factorization of n
are from the set 1 to 9 with each digit occurring exactly one time.
28651 = 7 x 4093
the digits of n and the prime factorization of n
are from the pandigital set 0 to 9 with each digit occurring exactly one time.

14368485 = 3 x 5 x 17 x 29 x 29 x 67
the digits of n and the prime factorization of n
are from the set 1 to 9 with each digit occurring exactly two times.
40578660 = 2 x 2 x 3 x 3 x 5 x 17 x 89 x 149
the digits of n and the prime factorization of n
are from the pandigital set 0 to 9 with each digit occurring exactly two times.

Special thanks goes to G. L. Honaker, Jr. for providing the original idea !
Prime Curios! sources : 5986 28651 14368485 40578660

A lot more curious fact and figures about these numbers
can be found on my Nine Digits Digressions webpage.


A000085 Prime Curios! Prime Puzzle
Wikipedia 85 Le Nombre 85 Numberland 85














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E-mail address : pdg@worldofnumbers.com