Erdős Problem #458 [status

falsifiable; formalized: yes]. Let $[1,\ldots,n]$ denote the least common multiple of $\{1,\ldots,n\}$. Is it true that, for all $k\geq 1$,$$[1,\ldots,p_{k+1}-1]< p_k[1,\ldots,p_k]?$$ Prize: no. OEIS: A056604. Tags: number theory, primes.

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