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Set and smalles integer

Source: Austrain- Polish competition 1981

December 7, 2013

number theory unsolvednumber theory

Problem Statement

Find the smallest

n

for which we can find

15

distinct elements

a_{1},a_{2},...,a_{15}

of

\{16,17,...,n\}

such that

a_{k}

is a multiple of

k

.

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