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Erdős problem 324 - quintic · Conjectures.io
Number theory
Erdős problem 324 - quintic
Probably f(x)=x5 has the property that the sums f(a)+f(b) with
a<b nonnegative integers are distinct.
0 α bounty·nobody has started
week of 11 Oct 2025 · nothing publishedweek of 18 Oct 2025 · nothing publishedweek of 25 Oct 2025 · nothing publishedweek of 1 Nov 2025 · nothing publishedweek of 8 Nov 2025 · nothing publishedweek of 15 Nov 2025 · nothing published
Solve it
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
11 Oct 2025nothing published against this one yet3 Oct 2026
erdosproblems.com/324
Something wrong with this formalization?
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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