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Number = Power Remainder (Posted on 2009-08-20) Difficulty: 2 of 5
Determine all possible value(s) of a 4-digit non leading zero base ten positive integer x such that the remainder obtained upon dividing 2x by 10,000 is equal to x.

What are the possible value(s) of a 4-digit non leading zero base ten positive integer x such that the remainder obtained upon dividing 3x by 10,000 is equal to x?

See The Solution Submitted by K Sengupta    
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Mathematica solution | Comment 1 of 3

a qucik search found 2^8736 mod 10000 = 8736
and 3^5387 mod 10000 = 5387 as the only solutions to the 2 problems.


  Posted by Daniel on 2009-08-20 11:17:59
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