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What is difference of prime and a multiple?

Updated: 8/20/2019
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Prime numbers have only two factors. Multiples of any number greater than one have more than two.

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Q: What is difference of prime and a multiple?
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What is The difference between 2 prime numbers is another prime numbers what is it?

All prime numbers are odd numbers, except for the number 2. The difference between two odd numbers must be a multiple of 2. So, if the difference between two prime numbers is another prime number, that difference must be 2.Examples:{3, 5}{5, 7}{11, 13}{29, 31}


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Is 2008 a prime number?

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No. Let p1 be a prime number. Let p2 be a multiple of p1 such that p2 = p1 * k.  Then the factors of p2 are: 1, p1, k and p2. ==> p2 is not a prime number. Hence, a multiple of a prime number cannot be a prime number.


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