Find the largest prime number that divides the quantity $0!+(1!)×1+(2!)×2+(3!)×3+⋯+(50!)×50$
apparently n∑k=1 k!⋅k=(n+1)!−10!=1so the expression shown =(n+1)!−1+1=(n+1)!so the largest prime <(n+1) is what we're afterand this is 47.
