Abstract
We can partition the positive integers into three classes:
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the unit, 1
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the primes, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,...
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the composite numbers, 4, 6, 8, 9, 10,...
A number greater than 1 is prime if its only positive divisors are 1 and itself; otherwise it’s composite. Primes have interested mathematicians at least since Euclid, who showed that there were infinitely many.
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Guy, R.K. (1981). Prime Numbers. In: Unsolved Problems in Number Theory. Unsolved Problems in Intuitive Mathematics, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1738-9_2
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