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Evaluate this remainder (Posted on 2008-08-13) Difficulty: 2 of 5
What is the remainder when you divide 299 by 99?

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

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Rereading | Comment 1 of 6
I have been rereading part of Simon Singh's "The Code Book". 

In that I found the expression Y^x(mod P).  Unfortunately my calculator, or for that matter MS Excel, cannot calculate that without an overflow error.

By 'dividing' the index I seem to have a remainder of 2^4+1.  I can explain my method further but I'm sure there are others who can explain the theory better. 

I considered expressions such as:
99 = 4*20 + 16 +3
99 = 6*16 + 3

...  all rendered the same result.

  Posted by brianjn on 2008-08-13 10:42:23
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