Prime Numbers Defined

Number Theory · Axiom Academy

Understanding the fundamental building blocks of number theory In other words, a prime number cannot be formed by multiplying two smaller natural numbers. If a number has any divisors other than 1 and itself, it is called composite . 2. Composite Numbers and the Case of 1 Composite numbers are natural numbers greater than 1 that have divisors other than 1 and themselves. For example, 6 is composite because it can be divided by 1, 2, 3, and 6. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47... There are infinitely many prime numbers (proven by Euclid around 300 BCE) Every integer greater than 1 is either prime or can be factored into primes The distribution of primes becomes less dense as numbers get larger No simple formula generates all prime numbers

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