2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67636We derive hypergeometric formulas for Euler's constant, gamma. A "by-product" of Thomae's transformation is an infinite product for e^gamma involving the binomial coefficients. Alternate, non-hypergeometric proofs use a double integral for gamma, the beta integral, and an integral for the digamma function. (I thank P. Sebah, S. Zlobin, and W. Zudilin for valuable suggestions used in the paper.)5 pages, 1 figure, submitted for publicationClassical Analysis and ODEsNumber TheoryPrimary 33C20; Secondary 11Y60, 33B15text