A discovery #285
Made in Georgia (Caucasus) by Emzari Papava.
A generalization of Fermat-Catalan's conjecture:
Papava's conjecture. There are only finitely many triples of coprime positive integers a,b,c for which a+b=c with
log[a, rad(a)]+log[b, rad(b)]+log[c, rad(c)]≤1.