(n+17)! = 1*2*3*4*......*(n+1)*(n+16)*(n+17)
n>-15 целое
1*2*3*4*......*(n+1)*(n+16)*(n+17) = 420 *1*2*3*.....*(n+15)
(n+16)(n+17)=420
n² + 16 n + 17n+ 272=420
n² + 33n - 148 =0
D=1089 + 592 = 1681 = 41²
n12=(-33+-41)/2 = -37 4
-37 НЕТ n>-15
4 ДА
ответ 4