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2^1998 divides (1997^M - 1) (Posted on 2010-12-25) Difficulty: 3 of 5
Determine the minimum value of a positive integer M, such that (1997M 1) is divisible by 21998.

Note: For an extra challenge, solve this puzzle without the aid of a computer program.

See The Solution Submitted by K Sengupta    
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  Subject Author Date
SolutionAnalytic SolutionHarry2011-01-04 10:50:21
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