The integer 30 can be written as a sum of consecutive positive integers in three ways:
30 = 9+10+11 = 6+7+8+9 = 4+5+6+7+8.

Find the smallest positive integer which can be written as a sum of consecutive positive integers in 12 ways.

(In reply to re: Possible Solution by Tristan)

I corrected my numbers of terms (I forgot to add one to each of mine) and verified the two extras of yours which start at 17 and 2 resp.

Posted by Richard on 2004-06-28 18:52:50