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| 2^1998 divides (1997^M - 1) (Posted on 2010-12-25) |
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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.
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Submitted by K Sengupta
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Solution:
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M = 21996 is the required minimum possible value of M.
For a detailed explanation, refer to the solution submitted by Harry in this location.
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