|
|||||
|
|
Short effective intervals containing primes |
|
| Authors: | Olivier Ramaré Yannick Saouter |
| Institution: | a UMR 8524, Université Lille I, 59 655 Villeneuve d'Ascq Cedex, France b IRIT, Batiment 1R1, 118 route de Narbonne, 31062 Toulouse Cedex 4, France |
| Abstract: | We prove that every interval ]x(1−Δ−1),x] contains a prime number with Δ=28314000 and provided x?10726905041. The proof combines analytical, sieve and algorithmical methods. |
| Keywords: | 11N05 |
| 本文献已被 ScienceDirect 等数据库收录！ | |