Question

if n1 and n2 are two odd prime number such that n1 > n2, then write the nature of n1 square - n2 square

Answer 1

hola there

Let n1=n2+2a,      where a∈NWe have, n12-n22=n2+2a2-n22=n22+4an2+4a2-n22=4an2+4a2=4an2+aHere,if a is even number, then 4an2+a will be divisible by 8And if a is odd number, then n2+a will be even number andSubsequently 4an2+a will be divisible by 8.Hence, n12-n22 is positive multiple of 8.