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With exception of '2' all prime numbers are odd.

Any odd number that ends in '5' is not a prime.

Any number that ends in 0,2,4,6,8 are even and not primes.

'9' is a composite number and not a prime.

So you are left with 3 or 7 , which are primes.

So taking a number , say '23' divide by '3' leaves a remainder of '2' so it is a prime. Similarly '23' divided by '7' leaves a remainder of '2' so 23 is a prime.

If No remainder is left then the number is composite and not a prime.

e.g.

4567 is it a prime ?

Its odd so could be a prime

Does it divide by '3' answer 1522 remainder '1' so it is a prime.

Try '7' answer 652 remainder '3' it is a prime.

Hence 4567 is a definite Prime number.

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lenpollock

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