halliesavage872 halliesavage872

14-08-2021
Mathematics

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18. Prime numbers are closed under subtraction.
True or false

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jimthompson5910 jimthompson5910

15-08-2021

Answer: False

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Explanation:

We simply need one counterexample to disprove the original claim.

The values 5 and 11 are prime, but 11-5 = 6 is not prime.

We see that taking two primes, and subtracting them, leads to some value outside the set of primes. Therefore, the set of primes is not closed under subtraction.

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gxmzfstqvw gxmzfstqvw

15-08-2021

the answer is false, phone numbers are not closed under subtraction

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