mod,prime -> inverse possible

Posted by Piet on Stack Overflow See other posts from Stack Overflow or by Piet
Published on 2010-05-19T20:11:14Z Indexed on 2010/05/19 20:20 UTC
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Hi all. I was wondering if one can do the following:

We have:

X is a product of N-primes, thus I assume unique.
C is a constant. We can assure that C is a number that is part of the N-primes or not. Whichever will work best.

Thus:

X mod C = Z

We have Z and C and we know that X was a product of N-primes, where N is restricted lets say first 100 primes.

Is there anyway we can get back X?

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