123 is a peculiar integer, because 1+2+3=1*2*3. 1412 is also peculiar, since 1+4+1+2=1*4*1*2.
A simple question: are there infinitely many such numbers?
A not so simple question: if so, are there such numbers for ANY number of digits?
(In reply to
An extra question by e.g.)
After 24-digits, some of the impossible lengths are
34-digit
35-digit
et al.
Solutions were found for 27-digits: twenty-two 1's, five 2s [32] and 30-digits: twenty-six 1's, two 2's and two 3's [36], and thus are eliminated from my initial list. See Charlie's post timestamped 2006-08-22 14:24:01 for a listing of 531 examples of "impossible lengths" for "peculiar numbers".
Edited on August 22, 2006, 4:33 pm
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Posted by Dej Mar
on 2006-08-22 12:43:18 |
re: An extra question - solution (spoiler)
