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Remainder of One (Posted on 2004-12-29) Difficulty: 4 of 5
Let p be a prime. Let S be a set of (p-1) integers, none of which are divisible by p. Show that some subset of S has a sum that has a remainder of 1 when divided by p.

(The sum of a set is defined as the sum of the elements of the set)

See The Solution Submitted by David Shin    
Rating: 3.8750 (8 votes)

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Solution Yet another Erdos theorem | Comment 4 of 13 |
See http://www.math.uwaterloo.ca/PM_Dept/Homepages/Stewart/Jour_Books/J-London-Math-Soc-1994.pdf for a proof!
  Posted by e.g. on 2004-12-30 13:36:32
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