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
clearly false
All you need is one exception to the rule and the rule becomes bogus
since 6+7 = 13 and 13 is NOT a composite number
the statement is false.
Thanks
To determine if the sum of any two consecutive integers is a composite number, we need to understand what a composite number is. A composite number is a positive integer that has more than two positive divisors.
Let's examine the given options:
A. 16 + 17 = 33
To determine if 33 is composite, we need to find its divisors. Dividing 33 by 1, we get 33. Dividing it by 3, we get 11. Since 33 only has two divisors (1 and 33), it is not composite.
B. 10 + 11 = 21
To determine if 21 is composite, we need to find its divisors. Dividing 21 by 1, we get 21. Dividing it by 3, we get 7. Since 21 only has two divisors (1 and 21), it is not composite.
C. 6 + 7 = 13
To determine if 13 is composite, we need to find its divisors. Dividing 13 by 1, we get 13. Dividing it by 13, we get 1. Since 13 only has two divisors (1 and 13), it is not composite.
D. 7 + 8 = 15
To determine if 15 is composite, we need to find its divisors. Dividing 15 by 1, we get 15. Dividing it by 3, we get 5. Since 15 has more than two divisors (1, 3, 5, and 15), it is composite.
Based on the analysis, the sum of two consecutive integers that results in a composite number is option D.