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For every Prime number p greater than 2, p + 1 is composite.

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Q: Use the fact that there are infinitely many primes to prove that there are inifitely many non prime numbers?
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Related questions

All prime numbers in the world?

There are infinitely many primes.


What number has the product of exactly three different prime numbers?

Since there are infinitely many primes, there are infinitely many numbers that are products of 3 primes.


How many known prime numbers are there?

There are infinite prime numbers as there is infinite numbers. You cannot limit the counting of primes.


What is the smallest numbers whose prime factors are the consecutive prime number from 20 and onwards?

There are infinitely many prime numbers, and also infinitely many twin primes so there is no answer to the question.


How many prime numbers are there total?

There are infinitely many primes. There are 24 prime numbers between 1 and 100


What two numbers is prime numbers?

There are infinitely many primes, not just two. The first two are 2 and 3.


What pair of prime numbers that differ by 2?

They are called twin primes and there are thought to be infinitely many such pairs.


Are there infinitely many natural numbers that are not prime?

This can be an extension to the proof that there are infinitely many prime numbers. If there are infinitely many prime numbers, then there are also infinitely many PRODUCTS of prime numbers. Those numbers that are the product of 2 or more prime numbers are not prime numbers.


What group of numbers even or odd contain more prime numbers?

All even numbers except 2 are divisible and thus not prime. There is no such number for odd numbers, and there is in fact just one even prime and infinitely many odd primes.


What are all numbers that are prime?

There are infinitely many primes so it is not possible to list them all. Moreover, there is no simple rule that can be used to describe a list of all primes.


List all of each number then identify each number prime or composite?

There are infinitely many numbers, and these comprise infinitely many primes and composites. It is not possible to list them all.


What are the prime numbers starting from 1?

There are infinitely many prime numbers and therefore they cannot be listed.There are infinitely many prime numbers and therefore they cannot be listed.There are infinitely many prime numbers and therefore they cannot be listed.There are infinitely many prime numbers and therefore they cannot be listed.