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If m and n are prime numbers such that the sum of m and n is greater than 20 and the product of m and n is less than 50, what is a possible value of mn?

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2 Answers

primes: 2,3,5,7,11,13,17,19,23,27,29,31,37,
 
2+19 = 21 > 20, 2*19 = 38 < 50 =====> 2 & 19 work
 
2+23 = 25 > 20, 2*23 = 46 < 50 =====> 2 & 23 work
 
2+27 = 29 > 20, 2*27 = 54 > 50
 
3+19 = 22 > 20, 3*19 = 57 > 50
 
3+17 = 20
 
So there are two answers: 38 and 46.