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Powerful Divisor (Posted on 2014-05-01) Difficulty: 3 of 5
Let us consider the expression MM+1, where M is a positive integer.

It can be verified that M=3 is the least value for which 22 divides MM+1.

Given that n is a positive integer, find the least value of M (in terms of n) for which MM+1 is divisible by 2n.

No Solution Yet Submitted by K Sengupta    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re: some examples | Comment 6 of 8 |
(In reply to some examples by Charlie)

We want MM+1 not MM to be divisible by 2n.

n  2n   M    MM+1
1 2 1 2
2 4 3 28
3 8 7 823544
4 16 15 (large)



  Posted by Jer on 2014-05-01 16:47:40
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