Wilson's Theorem for Multifactorials

Number Theory Level 5

3002 ! ! m o d 2003 = ? \large 3002!! \bmod{2003} = \, ?

Notation : ! ! !! denotes the double factorial notation. For example, 10 ! ! = 10 × 8 × 6 × 4 × 2 10!!=10\times8\times6\times4\times2 .


The answer is 1813.

Sal Gard by Sal Gard , 19, USA

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1 solution

Giorgos K.
Feb 22, 2018

Mathematica

Mod[3002!!,2003]

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