answersLogoWhite

0

Why do odd numbers have more primes?

Updated: 4/28/2022
User Avatar

Wiki User

15y ago

Best Answer

An even number is on that is a multiple of 2 so any even number greater than 2 can't be prime. Here is why, a prime is a number whose only divisors are 1 and itself. That means if I take a number, call it P, the onlly divisors of P are 1 and P. That is the same as saying you can only divide P by itself and 1 or the only factors of P are 1 and itself. If a number is even, then it has 2 as a divisor or a factor so it is not prime. So we just got rid of every even number greater than 2 as a possible primes. The odds are left and some of them are primes and some are not. Dr. Chuck aka Mathdoc

User Avatar

Wiki User

15y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why do odd numbers have more primes?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Are there more mersenne primes known as there are perfect numbers?

There is a one-to-one relationship between even perfect numbers and Mersenne primes. It is unknown whether there are any odd perfect numbers.


Are all odd numbers composite?

With the exception of 2, all primes are odd numbers, therefore the answer is no.


What are the odd numbers between 10 and 30 as the sum of three odd primes?

10


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.


How many of the prime numbers between 10 and 20 can be written as the sum of two primes?

All prime numbers greater than 2 are odd numbers. For an odd prime to be written as the sum of two primes, one of the primes must be 2 because two odd primes will produce an even sum. 11 cannot be written as the sum of two primes. 13 = 2 + 11. 17 cannot be written as the sum of two primes. 19 = 2 + 17.


Are 113 and 127 twin primes?

No. Twin primes are two consecutive odd numbers that are prime, such as 17 and 19.


What are the three odd primes with the sum of 14?

There are not three odd primes with the sum of 14. The sum of three odd primes will be an odd number.


Express 63 as sum of odd primes?

To make odd numbers total an odd number, you have to have an odd number of them. 7 + 13 + 43 = 63


All prime numbers are even or odd?

Actually 2 is a prime number so not all are odd primes.


Do prime numbers have to be odd?

No. 2 is a prime and it is not odd. But all other primes must be odd because otherwise they would be divisible by 2.


Is there a pattern in the prime and composite numbers between 1 to 100?

There are some patterns, but none that can help you determine, in all cases, whether the number is a prime or not.For example: * All primes except 2 are odd numbers. However, not all odd numbers are primes. * All primes greater than 3 are of the form 6n - 1, or 6n + 1. However, not all numbers of this form are primes.


What 2 odd primes equal the sum of 10?

The prime numbers 3 an 7 are both odd and sum to 10.