"P^Q + Q^P = R" and P/Q/R are all "Prime Number"
P^Q + Q^P = R 而 P/Q/R 都是質數
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Anser #1: P=2, Q=3, R=17
e.g. 2^3 + 3^2 = 8 + 9 = 17 (True, Prime Number)
NOT Anser #2: P=2, Q=5, R=57
e.g. 2^5 + 5^2 = 32 + 25 = 57 = 3*19 (FALSE, NOT Prime)
NOT-Anser #3: P=2, Q=7 or Q=11 or Q=13, or Q=17
e.g. 2^7 + 7^2 = 177 = 3*59 (FALSE, not prime)
e.g. 2^11 + 11^2 = 2048 + 121 = 2169 = 3*3*441 (FALSE, not prime)
e.g. 2^13 + 13^2 = 8361 = 3*3*929 (FALSE, not prime)
e.g. 2^17 + 17^2 = 3*43787 (FALSE, not prime)