**Prime number**- is one that cannot be split up by division. Think of 11. Twice six is 12, three fours are 12. But the only number you can divide 11 by is one, and when you have done that you still have 11 left.

Prime
numbers lie at the very roots of arithmetic, and have always fascinated those
concerned with figures. Choose at random 17, 23, 29, 41, take the sequence as
far as you like, and you will never find a prime number divisible by another.
Over the centuries the world's finest mathematicians have tried to do so and
failed although they have also been unable to prove that no such number exists.

That is
because there is an infinity of prime numbers, and, in theory, anything may
happen in infinity. But so far the theorists have not even been able to find a
rule governing the gaps between prime numbers, which is a great mathematical
mystery.

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