Possible positive integer n for which the expression `n^3 – 14n^2 + 64n - 93` is prime, is/are :

The number of positive integers 'n' for which 3n-4, 4n-5 and 5n - 3 are all primes is:

The number of positive integers 'n' for which 3n-4,4n-5 and 5n-3 are all primes is

For each n in N the greatest positive integer which divides (n + 1) (n + 2) (n + 3) ldots (n + r) is :

If two positive integers m and n are expressible as as m = ab^(2) and n = a^(3) b , where a and b are prime numbers, then find LCM (m, n)

Statement -1 : The expression ((2i)/(1+i))^(n) is a positive integer for all the values of n. and Statement -2 : Here n=8 is the least positive for which the above expression is a positive integer.

Statement -1 : The expression ((2i)/(1+i))^(n) is a positive integer for all the values of n. and Statement -2 : Here n=8 is the least positive for which the above expression is a positive integer.