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What is the smallest prime divisor of 5^23 + 2^23?

 Jan 6, 2021
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Lets try a list of primes

2: 5^23 is odd 2^23 is even No

3: 5^23 is -1mod3 2^23 is -1mod3 No

5.: 5^23 is divisible by 5 2^23 is not No

7: 5 and 2 are additive inverses mod 7. Exponent is odd. Yessssss

:D

 Jan 6, 2021

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