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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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โˆ™ 2010-12-07 12:31:52
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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.

Related questions

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.


What are numbers are prime numbers found between 1-150?

What are prime numbers from 1-150?


Do large numbers have more prime factors than smaller numbers?

Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.


Is it possible for an extremely large prime to be expressed as a large integer raised to a very large power why or why not?

ne


What are the 2 largest prime numbers that are under 100?

91,97 are the two large prime numbers below 100.


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


What are even numbers found in prime numbers?

There is only one even prime number: two (2).


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.


All the prime numbers that can be found?

If you're asking us to type the tens of millions of known prime numbers, the answer is no.


Why do you use large prime numbers?

Large primes numbers are used in public key encryption systems as when multiplied together to create an even larger composite number it is extremely difficult to factorise this number into its component primes - this is what gives the encryption its strength. It is the knowledge of the large prime factors of the even larger composite number which allows the encryption and decryption keys to be determined; they are dependent on each other and the prime factors.


How do you find 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.

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