Prime numbers have always fascinated mathematicians. They
appear among the integers seemingly at random, and yet not
quite: there seems to be some order or pattern, just a little below
the surface, just a little out of reach.
Small children when they first go to school learn that there are two
things you can do to numbers: add them and multiply them. Addi-
tion sums are relatively easy, and addition has nice simple proper-
ties: 10 can be written as the sum of two numbers to make this pretty
pattern
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