Problem 320
15 January 2011
Let N(i) be the smallest integer n such that n! is divisible by (i!)1234567890
Let S(u)=
N(i) for 10 
i u.
S(1000)=614538266565663.
Find S(1 000 000) mod 1018.
Let N(i) be the smallest integer n such that n! is divisible by (i!)1234567890
Let S(u)=N(i) for 10 i u.
S(1000)=614538266565663.
Find S(1 000 000) mod 1018.