MathCastle
Number TheorySuperchallengeFermat, Euler and Wilson

Fermat, Euler and Wilson · Superchallenge problem

The number 3737 is prime. Find the remainder when

∑k=136k⋅k!⋅(36−k)!\sum_{k=1}^{36} k \cdot k! \cdot (36 - k)!

is divided by 3737.