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Consider the product of (1-p^(-s))^(-4) over all primes p=1 mod 5. Weevaluate its residue at s=1 and compare with the corresponding Mertens constantof Languasco & Zaccagnini. We also count primitive quintic Dirichlet charactersmod n and determine their average number as n->infty.

Residue of a Mod 5 Euler Product