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Power x mod x (Posted on 2008-12-18) Difficulty: 3 of 5
Find the smallest positive integer, x, such that 2x (mod x) = 3.

See The Solution Submitted by pcbouhid    
Rating: 4.0000 (1 votes)

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thoughts on solution | Comment 1 of 6

it seems to me that there are on solutions for x>3,I have completed a computer search for x>3 and x<=1 billion.  Now I think that x=1 could be the solution depending on what is meant by the equal sign in 2^x mod x = 3.  If it means exact inequality then 2^1 mod 1=0 is not = to 3.  But if it means congruence then 3 mod 1 =0 and 2^1 mod 1 =0 and thus 2^1 mod 1= 3.


  Posted by Daniel on 2008-12-18 21:09:02
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