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Consecutive Integer Sums (Posted on 2004-06-28) Difficulty: 3 of 5
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.

See The Solution Submitted by Brian Smith    
Rating: 4.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
A start | Comment 2 of 22 |
note the sum of n integers is sort of a sequence
generated by the formula a*n if n is odd
and a*n + n/2 if n is even

What we would want is akin to finding a number with a large number (12?) of factors.

This may be a step in the right direction.
-Jer
  Posted by Jer on 2004-06-28 16:51:34
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