Question

19 math questions. 7th grade. Need help!!

Answer 1

Give us the question..?

Answer 2

Okay.

Answer 3

Which is a counterexample to this conjecture?

The sum of any two consecutive integers is a composite number.

A.
16 + 17 = 33

B.
10 + 11 = 21

C.
6 + 7 = 13

D.
7 + 8 = 15

Answer 4

Which result is a prime number?

Answer 5

idk:/

Answer 6

a prime number is a number that only has factors of 1 and itself

example: 33 is not prime because 3*11 = 33, but 37 is prime because only 1 and 37 are factors

Answer 7

Im confuzzled.

Answer 8

this might help
https://www.mathsisfun.com/prime_numbers.html

Answer 9

Okay. Thats prime numbers. What about this problem?

Answer 10

Well a number is either composite or it is prime. It can't be both. If it's not composite, then it is prime

Answer 11

The claim is `The sum of any two consecutive integers is a composite number.`
but there is one case in your answer choices where 2 consecutive integers add to a prime number

Answer 12

This problem still dont make any sense.

Answer 13

A composite number is any number that has factors other than 1 and itself

example: 36 is composite because 3*12 = 36

Answer 14

do you see in your answer choices 2 numbers being added to get a prime number?

Answer 15

Yes. C.

Answer 16

Right?

Answer 17

@jim_thompson5910

Answer 18

sorry my notifications aren't working

Answer 19

Yes `C. 6 + 7 = 13` is where you add 2 consecutive integers and you get a number that is NOT composite

So the claim `The sum of any two consecutive integers is a composite number.` is proven false with choice C being a counter example