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There is no formula that will specifically give you a prime number and no non-Prime number. Therefore, several large numbers are tested to see if they are primes, until a prime number is found.

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Q: How are these extremely large prime numbers found?
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Is the set of prime numbers is well defined or not and why?

The set is well defined. Whether or not a given integer belongs to the set of prime numbers is clearly defined even if, for extremely large numbers, it may prove impossible to determine the status of that number.


Is the set of prime numbers well defined?

The set is well defined. Whether or not a given integer belongs to the set of prime numbers is clearly defined even if, for extremely large numbers, it may prove impossible to determine the status of that number.


How many prime numbers to be found between 1-50?

51


How do you get the prime factorization of large numbers?

The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.


Why do people look for large prime numbers?

Some think it is an interesting challenge. Prime numbers of up to a few hundred digits have real practical applications, in cryptography. However, the largest prime numbers found are much, much greater than that.Some think it is an interesting challenge. Prime numbers of up to a few hundred digits have real practical applications, in cryptography. However, the largest prime numbers found are much, much greater than that.Some think it is an interesting challenge. Prime numbers of up to a few hundred digits have real practical applications, in cryptography. However, the largest prime numbers found are much, much greater than that.Some think it is an interesting challenge. Prime numbers of up to a few hundred digits have real practical applications, in cryptography. However, the largest prime numbers found are much, much greater than that.