... is it possible that − is divisible by , is necessarily a prime number? Explain. 3) If and are whole numbers and does not divide is prime? Explain. If. ...

... 14. Which of the given numbers are composite? Composite number is a positive number which is prime. The prime numbers are 19, 23, 31, 59, 97, 103. ...

... from 1 and from 64,000,000 If both p and q are primes, we are done, the number is a product of primes. If one of the numbers, say p, is not a prime, then it's ...

... Solution: Any numbers of the form 6n + 1 and 6n 1 are odd numbers and two is only even prime number. Make tables of values for 6n + 1 and 6n 1. ...

... 41 is used to encode the alphabet and the numbers 0,...,9 ... in {1, 2, . . . , n − 1} that are relatively prime to n ... of the form n = pq with p, q primes we have φ ...

... ℕ stands for the set of natural numbers, ie, the set {1, 2, 3, .}. Theorem is Theorem 4: ℤn is an integral domain if and only if n is a prime number. ...

... 21 7. 40 Which of the numbers 32, 23, 54, and 37 are prime? Show Work Below. 23 and 37 because they are not divisible by any number other than 1. ...