The largest perfect square that divides `2014^3-2013^3+2012^3-....+2^3-1^3` is

The largest perfect square that divides 2014^(3)-2013^(3)+2012^(3)-2011^(3)+ . . . +2^(3)-1^(3) is

Find the smallest perfect square divisible by 3, 4, 5 and 6.

Find the smallest perfect square divisible by 3 , 4 , 5 and 6 .

The largest integer lambda such that 2^(lambda) divides 3^(2^(n))-1, ninN is

The largest integer lambda such that 2^(lambda) divides 3^(2^(n))-1, ninN is

The largest integer lambda such that 2^(lambda) divides 3^(2^(n))-1, ninN is

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

67, 146, 363, 10003 are not perfect squares as they leave remainder 3,2,3 and 3 respectively, when divided by 4,