For how many positive integral values of n does n! end with precisely 25 zeros?

For every positive integral value of n, 3 ^(n) gt n^(3) when

For how many positive integer values of n will (n^(2) + 5n + 12) be divisible by (n + 5) ?

For how many positive integers ‘n’, n^3-8n^2+20n-13 is a prime?

The least positive integral value of n for which ((1+i)/(1-i))^n=1 is

The smallest positive integral value of n for which (1+sqrt3i)^(n/2) is real is

The smallest positive integral value of n for which ((1-i)/(1+i))^(n) is purely imaginary with positive imaginary part is

Use proof by contradition to show that there is no value of n for which 6^n ends with the digit zero.