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last three digits in the product 1 · 3 · 5 · 7 · . . . · 2009 · 2011

Source: Norwegian Mathematical Olympiad 2012 - Abel Competition p3a

September 4, 2019
number theoryLast digitProductfactorial

Problem Statement

Find the last three digits in the product 1357...200920111 \cdot 3\cdot 5\cdot 7 \cdot . . . \cdot 2009 \cdot 2011.