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$x = (5^2 \bmod 6)^4 \bmod 15$.

I wanted to turn $(5^2 \bmod 6)^4 \bmod 15$ into a constant, but I just lost hope when I saw how humongous the expression was.

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    Humongous? Is $1$ humongous? Maybe to a creature of size $10^{-4}$.2012-11-29
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    if you had 625, you could do 625-6x10 and do the same thing?2012-11-29
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    @internetlearning, yes $6 = 0 \mod 6$ so $600 = 0 \mod 6$ so $625 = 25 \mod 6$.2012-11-29
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    @internetlearning you should start thinking about accepting answers you find helpful.2012-11-30

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