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Here are some prime numbers:
$5, 17, 23, 59, 89, 101$
They are all odd. What else do they have in common?
Here are some more prime numbers:
$13, 19, 31, 37, 61, 67$
They are also all odd. What else do they have in common?
Can you find any primes greater than $3$ which are not one more, or one less, than a multiple of $6$?
Charlie thought that it wasn't possible to find any primes which were not one more, or one less than a mutiple of $6$. He thought that he might be able to use a number grid to help him prove this.
Claire also though that it wasn't possible to find any primes which were not one more, or one less than a mutiple of $6$. She thought that she might be able to use some general expressions to help her prove this.