WON plate95 | World!OfNumbers [ March 26, 2001 ] A Ninedigital Divertimento Janean Wilson (email) Janean Wilson from Grand Rapids, Michigan wanted to know the highest possibleproduct of three 3-digit numbers, all nine of whose digits are different. One can differentiate two cases. First the three 3-digits numbers can be anything. My program gave quite a lot of solutions (59996 in fact) The largest solution is the 'one but last' from my output list (coincidentally palindrome 59995) 972 * 997 * 998 = 967145832 The second case is when an extra condition is imposed on the expansion of the three multipliers namely that they must also be ninedigital. Only 39 of the above 59996 fulfil this condition and the largest one is this beautiful 531 * 876 * 942 = 438176952 Note 39 standing for 3 multipliers and 9 digits ! I recommend the interested reader my webpages for more 'Ninedigital diversions' ! [ The complete 39-list is accessible at The Nine Digits Page 6. ] For reference goals and easy searching all the nine- & pandigitalsimplicitly displayed in these topics are listed here. Topic → 438176952, 531876942, 531876942 A000095 Prime Curios! Prime Puzzle Wikipedia 95 Le Nombre 95 Numberland 95
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