Offer 01$1,000,000D. Andrew Beal / American Mathematical Society
InstitutionalA proof or counterexample must be complete and published in a respected refereed mathematics journal. Unpublished manuscripts cannot be submitted directly to the AMS.
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The problem
If Aˣ + Bʸ = Cᶻ for positive integers with x, y and z all greater than 2, then A, B and C must have a common prime factor.
Open since1993exact
Last checked2026.07.26Catalog verification
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Reward offers
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