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integer a such 2x^2-30x+a=0 has prime roots (HOMC 2010 J Q7)

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July 25, 2019
number theoryprimesquadraticsroots

Problem Statement

Determine all positive integer aa such that the equation 2x2āˆ’30x+a=02x^2 - 30x + a = 0 has two prime roots, i.e. both roots are prime numbers.
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