Breaking RSA if you know m^k = 1 mod n
Hello I'm looking for some guidance:

Re: Breaking RSA if you know m^k = 1 mod n
You seem to assume that everyone knows what you are talking aboutwhy?
You certainly have not defined terms, but when I look into this, it is my impression that you have no understanding of modular arithmetic. Why not check that out? 
Re: Breaking RSA if you know m^k = 1 mod n
Look, RSA is built on the fact in the private key (d,n) and the public key (e,n) d and e are exponential inverses of each other mod n. If x^d or x^e are congruent to 1 then d = phi(n) or e = phi(n) respectively... Take a look at Euler's Theorem which is a generalize form of Fermat's Little Theorem. This is why in RSA there is so much care taken in picking keys.

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