Is there an even number $n \in \mathbb{N}$ and two different primes $p,q<n$ which are not divisors of $n$, as well as $a,b \in \mathbb{N}$ with $a,b>1$, such that $$ n=q+p^{a}=p+q^{b} $$ ? I conjecture, there is no such even number $n$, but I'm not sure.
2026-04-01 13:08:09.1775048889
Summation of a prime and a prime power
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