prime numbers

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What is the smallest prime that divides the sum (5^11) and (7^13)?
 
Note that both 5<SUP>11</SUP> and 7<SUP>13</SUP> are odd numbers.
What sort of number is the sum of two odd numbers?
What is the first prime number?

P.S. Galactus did you spoil a beautiful problem?
 
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