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GCD of all elements of {k^{19}-k: 1<k<20, k\in N}

Source: LIMIT 2020 Cat 2 Obj P12

June 9, 2020
GCDnumber theorylimit

Problem Statement

Let AA be the set {k19−k:1<k<20,k∈N}\{k^{19}-k: 1<k<20, k\in N\}. Let GG be the GCD of all elements of AA. Then the value of GG is?
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