Welcome to free math help,
prime numbers are good for quickly transforming a situation
with zillions of possible outcomes into an equivalent situation with
only a handful of possible outcomes.
Here is another way to think about it: If you're looking for some
needles in a haystack, you can start picking up each piece of straw,
examples on math help; checking to see if it's a needle, and then tossing it over your
shoulder. Or you can use a magnet to find the needles right away.
In mathematics, prime numbers serve the same function as a really,
Really, REALLY big magnet.
more examples on free math.
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