No, prime numbers already existed. Euclid simply made some important mathematical contributions related to prime numbers. Among others, he discovered a surprisingly simple proof that the set of prime numbers is infinite; and he discovered that the prime factorization of any natural number is unique.
No one invented prime numbers.
Euclid
The Egyptians were the first people to have some knowledge in prime numbers. Though, the earliest known record are Euclid's Elements, which contain the important theorem of prime numbers. The Ancient Greeks, including Euclid, were the first people to find prime numbers. Euclid constructed the Mersenne prime to work out the infinite number of primes.
Euclid
Euclid
Euclid contributed to number theory, which is the study of integers. He worked on prime numbers and divisibility. He proved the infinitude of prime numbers, which had not been proven before.
Was demonstrated by Euclid around 300 B.C
Euclid did not make the twin prime conjecture; it is attributed to later mathematicians. Euclid, a Greek mathematician active around 300 BCE, is best known for his work in geometry and his influential text, "Elements." The twin prime conjecture, which posits that there are infinitely many pairs of prime numbers that differ by two, was first proposed in the 19th century. Therefore, Euclid did not receive any reward for this conjecture, as it was not his work.
You can use Euclid's algorithm to calculate the gcf of two of the numbers - then use Euclid's algorithm again with the result and the third number.Or you can factor all the numbers into prime factors, and check which prime factors occur in all three numbers.
Euclid's algorithm is probably the most commonly used 'formula' for that purpose. If the greatest common factor is 1, the numbers are relatively prime. See the related question for an example of Euclid's algorithm.
Euclid (c. 300 BC) was one of the first to prove that there are infinitely many prime numbers. His proof was essentially to assume that there were a finite number of prime numbers, and arrive at a contradiction. Thus, there must be infinitely many prime numbers. Specifically, he supposed that if there were a finite number of prime numbers, then if one were to multiply all those prime numbers together and add 1, it would result in a number that was not divisible by any of the (finite number of) prime numbers, thus would itself be a prime number larger than the largest prime number in the assumed list - a contradiction.
No two prime numbers can make 30.No two prime numbers can make 30.No two prime numbers can make 30.No two prime numbers can make 30.