Quote:
Originally Posted by science_man_88
No ,not to my extremely limited knowledge either. You can ( as I've shown) do better than brute force though ( okay I brute forced enough, to show certain forms don't work, and the exponents need be pairwise coprime to not group under forms like a^5+1 potentially).

Of course, without restrictions on exponents (number of them, minimum), you can prove that the first part can be all even composites, meaning all odd primes can be made this way