Problem 203

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Statement. Is there an integer $m\geq 1$ with $(m,6)=1$ such that none of $2^k3^\ell m+1$ are prime, for any $k,\ell\geq 0$?

Status. Open.

Source. erdosproblems.com/203, accessed 2026-09-04. Cite as: T. F. Bloom, Erdős Problem #203, https://www.erdosproblems.com/203.

Formalization. Statement in formal-conjectures.

Progress

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Known Results

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Linked library material

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• adenwalla_2025_question_erdos_graham_covering_systems