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OpenStudy (anonymous):
Thanks guys - Find the greatest prime factor of 2^20-1 (I got 41, could someone tell me if that is correct and how they obtained their solution?)
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OpenStudy (amistre64):
2^(20-1)?
OpenStudy (anonymous):
(2^20)-2
OpenStudy (anonymous):
Whoops, (2^20)-1
OpenStudy (anonymous):
so you are try to find the largest prime p such that \[2^{20}\equiv 1(mod p)\]
OpenStudy (anonymous):
Yes. I totally forgot how to use modulus, but yes, I believe that is it.
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OpenStudy (anonymous):
yeah my number theory is a bit rusty, I would need to look up some theorems as well...
OpenStudy (anonymous):
Oh darn. =] Anyone care to help?
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