Erdős Problem #472

declared status 'open'. Formalized: no. Given some initial finite sequence of primes $q_1<\cdots<q_m$ extend it so that $q_{n+1}$ is the smallest prime of the form $q_n+q_i-1$ for $n\geq m$. Is there an initial starting sequence so that the resulting sequence is infinite? Prize: no. OEIS: A389713. Tags: number theory.

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