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Prime numbers form the basis of most encryption algorithms, which are used to protect sensitive data such as credit card information, passwords, etc.

Any natural number greater than one can be written as a product of prime numbers. The prime factorization is unambiguous, that is, for any natural number N, there is exactly one product of prime numbers.

Multiplying prime factors is quick and easy. For example, the product of the two prime numbers 29 and 31 is 899. It is much harder to take 899, and find its prime factors. For very large numbers, such as 150-digit prime numbers, finding the prime factorisation is near impossible - and it is this difficulty that forms the basis of encryption algorithms.

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State the characterictics prime numbers share?

The crucial importance of prime numbers to number theory and mathematics in general stems from the fundamental theorem of arithmetic.


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To find out the difference between prime numbers and composite numbers because prime numbers are useful in finding the lowest common multiple of numbers or the highest common factor of numbers.


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Cryptography - that is, generating security codes for encryption of data.


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Prime numbers like 2, 3, 5 and 7.


What is the total of the next eight prime numbers after twenty four?

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