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Find gcd(S_{n} , S_{3n})

Source:

September 13, 2010

number theorygreatest common divisorinductionalgorithmmodular arithmeticalgebrabinomial theorem

Problem Statement

Set

S_n = \sum_{p=1}^n (p^5+p^7)

. Determine the greatest common divisor of

S_n

and

S_{3n}.