Claims

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1988_03_01_tijdeman_wang: Tijdeman and Wang prove that every rational number beyond some constant has at most four representations as 2^a 3^b + 2^c + 3^d once representations with the same three summands are identified, four being best possible.

1988_10_13_evertse_gyory_stewart_tijdeman: Evertse, Győry, Stewart and Tijdeman prove that the number of representations of n as a power of two plus a power of three plus a product of the two is bounded by an absolute constant, the first proof of Newman's conjecture.

2023_08_09_bajpai_bennett: Bajpai and Bennett prove, with explicit constants, that a positive integer has at most nine representations as 2^a 3^b + 2^c + 3^d, at most four from 131082 on, once representations with the same three summands are identified.

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