Question

Express $66$ as a sum of two odd primes.

Answer 1

$66$ can be written as

$66=1+65$ ($1$ is neither a prime number nor a composite number)

$66=2+64$ ($2$ is an even prime while $64$ is a composite number)

$66=3+63$ ($63$ is a composite number)

$66=4+62$ (Both $4$ and $62$ are composite number )

$66=5+61$. Clearly, both $5$ and $61$ are odd prime numbers.

Thus, $66$ can be expressed as sum of $5$ and $61$.