Which are the prime numbers?

A prime number is a natural integer that admits only two different divisors: 1 and itself. Therefore 0 and 1 are not  prime numbers .

The  theorem of Euclid  proved that there is an infinity of them, so it is impossible to know them all. To help you, here is the list of the 25 prime numbers between 0 and 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53 , 59, 61, 67, 71, 73, 79, 83, 89, 97.

More can be found thanks to the division test technique and the Eratosthenes sieve, although there are other techniques to know the .

On the other hand, there are  special primes : the twin primes, those of Pythagoras, those of Mersenne and those of Fermat.

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