James says that if a prime number is doubled that the new number is prime state whether you agree or disagree and give an example that proves the conjecture or a counter example

Question

Chanel Rodgers

Mathematics

27 May, 10:47

James says that if a prime number is doubled that the new number is prime state whether you agree or disagree and give an example that proves the conjecture or a counter example

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Answers (1)

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Iris Cunningham · Answer 1

Step-by-step explanation:

James says that if a prime number is doubled that the new number is prime state ...

... Give an example that proves the conjecture or a counter example.

Chose any prime number and double.

2, 3, 5, 7 ...

2 * 2 = 4 which is not a prime number

3 * 2 = 6 which is not a prime number

Etc.

Why?

Any prime number multiplied by an even number (as it is doubled), will result in an even number. Therefore, none of the results will be odd and can't be prime - there are no even prime numbers except 2.