On the distribution of prime numbers (II)
| dc.creator | Gepner, Doron | |
| dc.date | 2005-02-17 | |
| dc.date.accessioned | 2026-07-07T05:17:06Z | |
| dc.date.available | 2026-07-07T05:17:06Z | |
| dc.description | Recently, I have defined the so called PDF's (prime distribution factors) which govern the distribution of prime numbers of the type $p,p+a_i$ being all primes up to some number $n$. It was shown that the PDF's are expressible in terms of the basic PDF's which are defined as $a_i-a_j$ or $a_i$ being composed of primes which are less or equal to the number of primes. For example, $p,p+2$ (twin primes), or $p,p+2,p+6$ being all primes (basic triplets). We give here a conjecture for the number of basic prime PDF's in terms of Hardy-Littlewood numbers, thus completing the determination of PDF's. These conjectures are supported by extensive calculations. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0502376 | |
| dc.identifier | http://arxiv.org/abs/math/0502376 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74230 | |
| dc.subject | Number Theory | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the distribution of prime numbers (II) | |
| dc.type | text |