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TOT 003 1980 Spring J3 permutations of 2,...,102 divisible by k for all k

Source:

August 16, 2019

permutationscombinatoricsnumber theorydivisible

Problem Statement

If permutations of the numbers

2, 3,4,..., 102

are denoted by

a_i,a_2, a_3,...,a_{101}

, find all such permutations in which

a_k

is divisible by

k

for all

k