Number of Euclide
The numbers of Euclide are entireties of the form = # + 1, where # is the Primorielle of , which is the nth prime number. Their name comes from the Greek mathematician of the Antiquity Euclide, which used them in its original proof of the existence of an infinity of prime numbers.
The first numbers of Euclide are 3,7,31,211,2311,30031,510511 (A006862 continuation in the electronic Encyclopédie of the whole continuations).
It is not known at present if there exists or not an infinity of numbers of Euclide first.
= 13# + 1 = 30031 = 59 X 509 is the first number of composed Euclide, which shows that all the numbers of Euclide are not first.
See too
- Proof of the infinitude of the prime numbers
- Prime number primoriel
- Primorielle
| Random links: | Bibern (Soleure) | Jumping | Crocus sativus | Martin Lapointe | Radio (film) | Liste_d'état_d'États-Unis_et_de_secteurs_de_région_sauvage_de_tribal |