Question

$prove \: that \: {4}^{4} + {9}^{4} \: is \: composite$

Answer 1

since u know composite number means if we factorise it so that all factors are prime numbers .

for eg 4 is smallest composite number 4=2×2
here 2 is prime number.

now here 4^4+9^4

=256+6561=6817

if we factorise this
6817=17×401
both are prime no.s so it is a composite number