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Math Help - Equation with primes in exponent

  1. #31
    Senior Member abhishekkgp's Avatar
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    Re: Equation with primes in exponent

    Quote Originally Posted by godelproof View Post
    I agree~

    BTW, Do you believe {2}^{p}+{3}^{p}={a}^{n}\Longrightarrow n=1, for ANY positive integer p? See here http://www.mathhelpforum.com/math-he...ed-183583.html
    i will work on it. nice problem.
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  2. #32
    Lord of certain Rings
    Isomorphism's Avatar
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    Re: Equation with primes in exponent

    Quote Originally Posted by tonio View Post
    Now you've finally produced something that looks like a proof (though I still shall check about the distributivity of that LT function, which right now I've not

    time to do and isn't clear to me at once).

    This is all I was asking before.

    Tonio
    His \text{LT}(x) = x \mod 100, so there is no need to verify distributivity.

    The LT() proof and the congruence proofs are actually the same.

    x \mod 100 can be split into two congruences, namely x \mod 25 and x \mod 4 since they are relatively prime

    Abhishek's proof realizes that we can just focus on x \mod 25 part
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