Primey numbers

Number Theory Level 2

Let that $\text{(a,b) > 1}$ .

Is it possible that $\text({a}^{2})$ + $\text({b}^{2})$ $\text{+(2)}$ $\text{= (prime number)}$ ?

No Yes Not enough information None

1 solution

Matin Naseri
Feb 22, 2018

$\text({2}^{2})+$ $\text({5}^{2}) +$ $\text{2}$ $\text{= 31}$ .

$\text{31}$ is a prime number .

Hence the answer is $\boxed{\mathscr{yes}}$

You should state that a and b are integers...

Maurice van Peursem - 2 years, 10 months ago