Erdős Problem #203 — Is there an integer m≥1m\geq 1 with (m,6)=1(m,6)=1 such that none of 2k3ℓm+12^k3^\ell m+1 are prime, for any k,ℓ≥0k,\ell\geq 0?

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Is there an integer m≥1m\geq 1 with (m,6)=1(m,6)=1 such that none of 2k3ℓm+12^k3^\ell m+1 are prime, for any k,ℓ≥0k,\ell\geq 0?

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