Question

Consider the following conjecture:There are no prime numbers between 7,608 and 7,620.How could this statement be shown to be true or false? Would it still be a conjecture if no counterexample were found? Explain.(Ps: there’s two parts to this question!, once this one is answered, the other part will show!)

Answer 1

To show whether the statement is true or false, determine whether any of the numbers between 7608 and 7620 is prime or composite. If none of the numbers is prime, then no counterexample exists and the statement is true. If all of the numbers are composite, then the statement is false.

If no counterexamples are found, then the statement will no longer be a conjecture; it'll be a true statement.

Note that a conjecture is an unproven statement.

Hope this Helps!!!