Euclid also gives a proof of the Fundamental Theorem of Arithmetic: Every integer can be written as a product of primes in an essentially unique way.Д®uclid also showed that if the number 2 n в€’ 1 2^ - 79 n + 1601 n 2 в€’ 7 9 n + 1 6 0 1 which is prime for 0 в‰¤ n в‰¤ 79 0 в‰¤ n в‰¤ 79 0 в‰¤ n в‰¤ 7 9. Number 1 is not considered a prime number. This is one of the first proofs known which uses the method of contradiction to establish a result. 1 - 1000: List of all the prime numbers, up to one thousand, from the first prime number, 2, up to the last, 997. In Book IX of the Elements, Euclid proves that there are infinitely many prime numbers. You can see more about these numbers in the History topics article Perfect numbers.Д«y the time Euclid's Elements appeared in about 300 BC, several important results about primes had been proved. They understood the idea of primality and were interested in perfect and amicable numbers.ДЄ perfect number is one whose proper divisors sum to the number itself. The mathematicians of Pythagoras's school (500 BC to 300 BC ) were interested in numbers for their mystical and numerological properties. Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians.

List of prime numbers 1 to 10000