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If it's even and greater than two, it's not prime. If you know the divisibility rules, you can eliminate 3 through 10 as factors. Through trial and error, you can eliminate 11, 13, 17 and 19 and so on until you get bored.

That leaves numbers like 1849 which looks prime but is actually the product of 43 and 43. For large numbers like that, Google "list of prime numbers" and click on the first 10000 primes. That will let you know for certain.

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