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Erdős problem 242 - schinzel generalization · Conjectures.io
Number theory
Erdős problem 242 - schinzel generalization
Schinzel conjectured (see [Si56]) the generalisation that, for any fixed a, if n is sufficiently
large in terms of a then there exist distinct integers 1≤x<y<z such that
na=x1+y1+z1.
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Solve it
A complete proof or refutation in Lean. The first one the validator accepts takes the whole bounty.
A statement that does not faithfully capture the original conjecture is the one real risk here, so we would rather hear about it early - before someone spends weeks on it.
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