Problems & Puzzles: Puzzles

Puzzle 964. A308357

Here we ask to get a(10), the first unknown term for A308357, by Dmitry Kamenetsky.

"A308357 Smallest k such that k! can be represented as the sum of the n-th powers of two or more distinct primes; or -1 if no such k exists."

2, 4, 8, 10, 12, 15, 19, 20, 24, 25

This means to get the minimal k! such that it is equal to the sum of the 10th power of two or more distinct primes.

It has been proved that a(10)>26

Q1. Send your minimal factorial solution for a(10).


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