Number Theory T...

The smallest 3 digit prime number is:

What is the value of $$x$$ for which $$x, x + 1, x + 3$$ are all prime numbers?

Which of the following number is a prime?

What is the modulus of $$\cfrac { \sqrt { 2 } +i }{ \sqrt { 2 } -i } $$ where $$i=\sqrt { -1 } $$

Consider the following numbers.
1. $$247$$
2. $$203$$
Which of the above number is/are prime?

Which one of the following is a prime number?

If $$\cos { \left( \log { { i }^{ 4i } }  \right)  } =a+ib$$, then

Which of the following numbers is prime?

$$( 7 \times 11 \times 13 + 13 )$$ is a/an

The reciprocal of the smallest prime number is _______.