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Johnny stated "All prime numbers are odd." Charlene responded, "I can demonstrate that your statement is false."

Which explanation is sufficient to prove Johnny's statement is false?



Answer choices are
A)Many prime numbers have a difference of two, such as 5 and 7, 11 and 13, and 41 and 43.

B)The numbers 15, 35, 21, are all odd, but not prime numbers.

C)There could be a very large number that is even and prime.

D)The number 2 is a counterexample.

Respuesta :

vta

[tex]\text{Hello There!}[/tex]

[tex]\bf\text{All prime numbers are ultimately odd besides 2 because it is a factor.}[/tex]

[tex]\text{Therefore, he would be close, but incorrect at some extent.}[/tex]

[tex]\bold{So\;D\;would\;be\;your\;answer.}[/tex]

[tex]\huge\text{I hope this helped! (:}[/tex]

[tex]\rule{250}{1.5}[/tex]

Only number 2 is prime and even number.

Option D is correct.

Prime and even number :

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

  • A factor is a whole number that can be divided evenly into another number.
  • The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
  • An even number is a number that can be divided into two equal groups.
  • An odd number is a number that cannot be divided into two equal groups.

From above definition of numbers, It is observed that 2 is prime and even number.

Thus, statement  "All prime numbers are odd " is false.

Learn more about the Number system here:

https://brainly.com/question/17200227

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