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Math Help - Squared primes

  1. #1
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    Squared primes

    Can a sum of five squared prime numbers be a squared prime number?
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  2. #2
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    Hello!

    Quote Originally Posted by Jone View Post
    Can a sum of five squared prime numbers be a squared prime number?
    Do you care about DIFFERENT prime numbers?

    Because 2^2+2^2+2^2+2^2+3^2 = 4+4+4+4+9 = 25 = 5^2

    and 2,3,5 are prime numbers

    Regards
    Rapha
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  3. #3
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    Of course they can be different (or must, as otherwise there's no such possibility).
    Is there a general formula that will help me evaluate all such prime numbers?
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  4. #4
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    Can

    P0^2 = p1^2 + p2^2 + p3^2 + p4^2 + p5^2

    Since all primes (except 2) are of the form: 2k+1

    the lhs: 4k^2 + 4k + 1

    After some additions and simplifications, the lhs & rhs
    will never have odd/even parity.

    Therefore to answer your question: NO.
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