[ December 27, 1999 ]
Find more smallest Squares and Cubes whose digits occur a same number of times ?
E.g. 100112 = 100220121 has exactly three zero's, three ones and three two's !
Note that the number of different digits in the decimal expansion
may differ from their required frequency.
The next table already give the solutions for frequencies 1 to 7 for the squares.
Though the numbers are definitely 'base-related' they surely display a notable beauty !
Some questions I would like to ask are for instance :
Are there always solutions possible for any frequency ?
What are the possible shortcuts one can make while programming this puzzle ?
10116006416044464016 is next one
by Jeff Heleen - January 17, 2000
by Jeff Heleen - January 20, 2000
For the Cubes and higher Powers solutions
please visit my newest webpage solely dedicated to this interesting topic.
The title is Numbers whose digits occur with same frequency.