AMC 10 Step by Step
2002 AMC 10AProblem 14P11-15~3 minPrint

Both roots of the quadratic equation x263x+k=0x^2 - 63x + k = 0 are prime numbers. The number of possible values of kk is

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2002 12A #12.