10 Primes

12 is a number with __________ divisors. Its divisors are

Six Divisors. 1,2,3,4,6,12

Decide if each of the following statements is a definition, a theorem or a conjecture. There are infinitely many prime numbers. For n we set z={2342} There are infinitely many twin primes

T D C

smallest number that is prime: smallest composite: How many primes less than 10: Smallest prime greater than 50:

smallest number that is prime: 2 smallest composite: 4 How many primes less than 10: 4 Smallest prime greater than 50: 53

List the Twin Primes between 1 and 100 as ordered pairs in ascending order.

(3,5) (5,7) (11,13) (17,19) (29,31) (41,43) (59,61) (71,73)

Prime factorization of: 134:

2, 67

Prime Divisor of 42: 200: 197:

42: 2,3,7 200: 5,2 197: 197

Do Seive of Eratosthenes from integers 660 to 681 to find all primes.

661 667 671 673 677 679

Definition: An integer p>1 is PRIME means that the only positive factors of p are 1 and p. An integer greater than 1 that is not prime is called composite.

Definition Prime

An integer n>1 is composite if it can be written as n=a*b where a and b are integers greater than 1. Ex: 57 = 3*19

Definition and example of composite