perplexus.info :: Just Math : 2^1998 divides (1997^M

2^1998 divides (1997^M - 1) (Posted on 2010-12-25)

Determine the minimum value of a positive integer M, such that (1997^M – 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
	Analytic Solution	Harry	2011-01-04 10:50:21

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