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Greates Common Divisor of a Set

Source: Israel Autumn 2016 TST2/4

September 29, 2016
greatest common divisornumber theorynumber theory solved

Problem Statement

Find the greatest common divisor of all numbers of the form (2a2⋅19b2⋅53c2+8)16−1(2^{a^2}\cdot 19^{b^2} \cdot 53^{c^2} + 8)^{16} - 1 where a,b,ca,b,c are integers.
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