A natural number k is such that `k^2,2014,(k+1)^2` what is the largest prime factor of k?

What is the largest number of electron in K orbit?

If n is a product of k distinct primes what is the total number of factors of n ?

Let f:R rarr R in pi'k' largest natural number for which f(x)=x^(3)+2k^(2)+(k^(2)+12)x-12 is a bijective function,then (f(1)+f^(prime-1)(49))/(10) is equal to

a,b are distinct natural numbers that (1)/(a)+(1)/(b)=(2)/(5). If sqrt(a+b)=k sqrt(2), then the value of k is

If k,2k-1 and 2k+1 are in the arithmetic progression then k

Let the set of all natural numbers N be the uni- versal set and K = { x :x is an even prime number} . I Find K

A=k^(2)-1andB=(k+1)^(2)-1 , where k is a natural number greater than 1. How many prime number are there by which both A and B are divisible for at least one value of k?

Let X_(k) be real number such that X_(k)gtk^(4)+k^(2)+1 for 1 le k le 2018 . Denot N =sum_(k=1)^(2018)k . Consider the following inequalities: I. (sum_(k=1)^(2018)kx_(k))^(2)leN(sum_(k=1)^(2018)kx_(k)^(2)) " " II. (sum_(k=1)^(2018)kx_(k))^(2)leN(sum_(k=1)^(2018)k^(2)x_(k)^(2))

If k_1 and k_2(k_2