answersLogoWhite

0

If the number has a remainder of 2 or 4 when divided by 6, it is an even number, so it is not Prime number.

6n + 2 = 2 (3n + 1), so it is divisible by 2.

6n + 4 = 2 (3n + 2), so it is divisible by 2.

If the number has a remainder of 3 when divided by 6, it is divisible by 3, so it is not a prime number.

6n + 3 = 3 (2n + 1), so it is divisible by 3.

However, there are two prime numbers that do not have a remainder of 1 or 5 when divided by 6 : 2 and 3

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

ProfessorProfessor
I will give you the most educated answer.
Chat with Professor
RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa
BeauBeau
You're doing better than you think!
Chat with Beau

Add your answer:

Earn +20 pts
Q: Why do prime numbers have a remainder of 1 or 5 when divided by 6?
Write your answer...
Submit
Still have questions?
magnify glass
imp