ROSECODE 496

Sum of factorials

liuguangxi · Math · 2018-06-21

Let

S (n) = \sum_{k = 1}^{n} k!

You are given

S (10) = 4037913

S (100) mod 1000000000039 = 947219250081

.

Find

S (314159265358) mod 1000000000039