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?
and 2,3,5 are prime numbers
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?
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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