Look at the base, not in the exponent

Number Theory Level 2

Find the smallest prime factor of

2345+3452+4523+5234\huge{ 2^{3^{4^{5}}} + 3^{4^{5^{2}}} + 4^{5^{2^{3}}} + 5^{2^{3^{4}}}}

Try this

Paul Ryan Longhas by Paul Ryan Longhas
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