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Erdős problem 709

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How long must an interval be to contain distinct representatives xix_i, with ai∣xia_i \mid x_i, for every nn-element set of moduli A={a1,…,an}A = \{a_1, \dots, a_n\}?

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How long must an interval be to contain distinct representatives $x_i$, with $a_i \mid x_i$, for every $n$-element set of moduli $A = \{a_1, \dots, a_n\}$?

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