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You seek for prime numbers that are approximately 200 digits big, then multiply them. I don't know details about the algorithms, but I understand that for cryptography, instead of using an algorithm that will be guaranteed to give a Prime number, an algorithm is used, instead, that has a very, very high probability of giving a prime number. Probably this is done because it is faster.

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Q: How do you find 2 prime numbers that if multiplied would generate a 400-digit number?
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