Can a sum of five squared prime numbers be a squared prime number?
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Hello! Originally Posted by Jone Can a sum of five squared prime numbers be a squared prime number? Do you care about DIFFERENT prime numbers? Because $\displaystyle 2^2+2^2+2^2+2^2+3^2 = 4+4+4+4+9 = 25 = 5^2$ and 2,3,5 are prime numbers Regards Rapha
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?
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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