How many pairs (n, n+1) have one or more prime factors common, where n is an integer and 2 ≤ n ≤...
How many pairs (n, n+1) have one or more prime factors common, where n is an integer and 2 ≤ n ≤9 ?
Answer/Solution
0
Steps/Work
n and n+1 are consecutive integers.
Two consecutive integers are co-prime, which means that they don't share ANY common factor but 1. For example 20 and 21 are consecutive integers, thus only common factor they share is 1.
Answer: A.
Two consecutive integers are co-prime, which means that they don't share ANY common factor but 1. For example 20 and 21 are consecutive integers, thus only common factor they share is 1.
Answer: A.