Problem 472

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.