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The finite-even-terms conjecture for coprime (2,1)-Ulam sets
Finite-even-terms conjecture. The set $U(a,b)$ contains finitely many even terms if and only if one of the following holds:
Conjecturesolvedadditive-combinatorics eventually-periodic-sequences ulam-sequencesarXiv posted 2 days ago

The finite-even-terms conjecture for coprime (2,1)-Ulam sets