$\left[\begin{array}{l}{[\text { Prime numbers and their properties }} \\ {[\underline{\text { Arithmetic of residues (other) })]}}\end{array}\right.$

a) $p, p+10, p+14$ - prime numbers. Find $p$.

b) $p, 2 p+1,4 p+1$ - prime numbers. Find $p$.
Consider the remainders when dividing by 3. One of these numbers is divisible by 3.

## Answer

$p=3$.