Formulas giving prime numbers under Cramér's conjecture
| dc.creator | Farhi, Bakir | |
| dc.date | 2006-11-24 | |
| dc.date.accessioned | 2026-07-07T07:33:19Z | |
| dc.date.available | 2026-07-07T07:33:19Z | |
| dc.description | Under Cramér's conjecture concerning the prime numbers, we prove that for any $x>1$, there exists a real $A=A(x)>1$ for which the formula $[A^{n^x}]$ (where $[]$ denotes the integer part) gives a prime number for any positive integer $n$. Under the same conjecture, we also prove that for any $ε>0$, there exists a positive real number $B$ for which the formula $[B.{n!}^{2+ε}]$ gives a prime number for any sufficiently large positive integer $n$. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611761 | |
| dc.identifier | http://arxiv.org/abs/math/0611761 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119411 | |
| dc.subject | Number Theory | |
| dc.subject | 11A41 | |
| dc.title | Formulas giving prime numbers under Cramér's conjecture | |
| dc.type | text |