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Bonus Policy applies. Scratch Cards Play. Show me more. A whole number is prime if it is positive and has exactly 2 factors itself and "1".
A factor of an arbitrary number "n" is a number that divides into "n" without leaving a remainder. There are an infinite amount of prime numbers this can be proven using Euclid's theorem , which means storing a list of all prime numbers is impossible and, as such, one may need to verify the primality of a number dynamically.
There are several methods to do this. When factoring a number, its factors will come in pairs unless it is a perfect square — in which case its square root will lack a pair.
If 1, 2, and 3 are not factors of 12, then its pairs won't be either. Using this, testing is only needed if numbers in the range 2 through the square root of n inclusive are factors of n, to test if n is prime.
In fact, only the prime numbers in that range have to be tested. Keep in mind that this method is much slower than the others: it might take up to 6 days to complete.
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