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Omni-MATH / Find all primes p such that there exist positive integers x,y that satisfy x(y²−p)+y(x²−p)=5p .

Problem

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problem

Find all primes pp such that there exist positive integers x,yx,y that satisfy x(y2p)+y(x2p)=5px(y^2-p)+y(x^2-p)=5p .
Plain-text mathematical notation (without MathML)
Find all primes p such that there exist positive integers x,y that satisfy x(y²−p)+y(x²−p)=5p .
Original LaTeX notation
Find all primes $p$ such that there exist positive integers $x,y$ that satisfy $x(y^2-p)+y(x^2-p)=5p$ .

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