Yes.
2 and 3 are the only consecutive numbers that are prime.
7
Pick any two consecutive numbers in that range.
Any prime number is relatively prime to any other prime number.
Yes.
2 and 3 are the only consecutive numbers that are prime.
7
Pick any two consecutive numbers in that range.
Pick any two consecutive numbers in that range.
The maximum difference is 8, between 89 and 97.
They are: 90 91 92 93 94 95 and 96 which are between the prime numbers of 89 and 97
Any prime number is relatively prime to any other prime number.
90, 91, 92, 93, 94, 95, 96
90, 91, 92, 93, 94, 95, 96That's the only set of seven consecutive composite numbers less than 100.
Basically, composite numbers are the non-prime numbers. Take a table of prime numbers, and look for any two prime numbers, one after the other, that have a difference greater than 2. Any numbers in between are consecutive composite numbers. For example, the next prime number after 13 is 17; that makes 14, 15, and 16 three consecutive non-primes, i.e., composite numbers.
Any odd number of consecutive numbers in which the center number is 100 will have this property. The simplest example is 99, 100, 101.