3 Feb
2003
3 Feb
'03
6:31 p.m.
expressing a number as the sum of its digits to different powers ... we would like to make the minimum ... of those powers ... as large as possible.
here is an example where the smallest power is m=7: 3212 = 3^7 + 2^9 + 1^9 + 2^9
...find any larger than m=7.
minimum power first number ------- ------------ 8 133232 = 1 + 3^10 + 3^9 + 2^15 + 3^9 + 2^11 9 133232 = 1 + 3^10 + 3^9 + 2^15 + 3^9 + 2^11 10 222203 = 2^15 + 2^13 + 2^11 + 2^11 + 0 + 3^11 11 222203 = 2^15 + 2^13 + 2^11 + 2^11 + 0 + 3^11 12 20232103 = 2^24 + 0 + 2^18 + 3^13 + 2^12 + 1 + 0 + 3^13 -- Don Reble djr@nk.ca