The Papava conjecture
Any two natural coprime numbers and their sum at least one contains prime factor without cube.
Otherwise: If (a,b)=1 and a+b=c, then there exists prime number p such that p|abc and p³†abc.
Counter-example: 271³+2³73³3^5=919³.
See other variant Papava's conjecture.
Emzar Papava
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