The greatest positive integer which divides `((n+2)!)/((n-1)!)` for all `n in N` is

If n is a positive integer, then ((n+4)!)/((n+7)!)=

Find the largest positive integer n such that 2^(n) divides 3^(4096)-1

The least positive integer n such that ((2i)/(1+i))^(n) is a positive integer is

The least positive integer n for which ""^(n-1)C_(5)+""^(n-1)C_(6) lt ""^(n)C_(7) is

The largest value of the positive integer k for which n^(k)+1 divides 1+n+n^(2)+ . . . .+n^(127) , is

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

The remainder when the positive integer m is divided by n is r. What is the remainder when 2m is divided by 2n?

What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n)?