World!Of
Numbers

WON plate
172 |

[ June 17, 2007 ]
A pandigital puzzle from
professor Seppo Mustonen, author of Survo MM.

Statistician Kimmo Vehkalahti from Finland (homepage) brings
to my attention an interesting and addictive site with Survo puzzles
and more in particular puzzle 008 as it is related to a topic
many times presented in my website namely pandigital numbers.

Here is an extract that directly describes the subject.

 1 *  2 * S.Mustonen [ 1991 ]:  3 * Let us examine the number 1238965740, where each digit appears  4 * once. It can be "splitted with asterisks" in two ways to a  5 * product of four terms giving the same result:  6 * 12*38*96*5740 = 251274240  7 * 123*896*57*40 = 251274240  8 *

The challenge now is to find further similar solutions.
Who will come up with the first ninedigital variant...

Be creative and try to find solutions with different products
but related in one or the other way (e.g. reversals, etc.)
Good luck to all of you !

 1 *  2 * Carlos Rivera [ February 16, 2008 ]:  3 *  4 * Regarding your nice plate 172, here is the smallest pandigital (10) solution:  5 * 1*235*096*847 = 19108320  6 * 12*35*0968*47 = 19108320  7 *  8 * But the same solution allows the smallest pandigital (9) solution  9 * 1*235*96*847 = 19108320  A * 12*35*968*47 = 19108320  B *

A000172 Prime Curios! Prime Puzzle
Wikipedia 172 Le nombre 172
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