| Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3). |
| Topics | Help • Register • News • History • How to • Sequences statistics • Template prototypes |
Difference between revisions of "PrimeGrid Sophie Germain Search"
m (Spacing) |
(→Found primes: Added Top5000 links for each prime) |
||
| Line 9: | Line 9: | ||
==Found primes== | ==Found primes== | ||
| − | As of June 2020 the project has found over 8200 primes, with 2 Sophie Germain pairs and 2 Twin pairs. | + | As of June 2020 the project has found over 8200 primes, with 2 Sophie Germain pairs and 2 Twin pairs. Each of these discoveries are currently the largest and second largest known pairs in their respective categories. |
===Sophie Germain pairs=== | ===Sophie Germain pairs=== | ||
| − | # {{Kbn|2618163402417|1290000}} and {{Kbn|2618163402417|1290001}} on 2016-02-29 | + | # {{T5000|121330|{{Kbn|2618163402417|1290000}}}} and {{T5000|121331|{{Kbn|2618163402417|1290001}}}} on 2016-02-29 ([https://www.primegrid.com/download/SGS_2618163402417_1290000.pdf official announcement]) |
| − | # {{Kbn|18543637900515|666667}} and {{Kbn|18543637900515|666668}} on 2012-04-09 | + | # {{T5000|106226|{{Kbn|18543637900515|666667}}}} and {{T5000|106227|{{Kbn|18543637900515|666668}}}} on 2012-04-09 ([https://www.primegrid.com/download/SGS-666667.pdf official announcement]) |
===Twin pairs=== | ===Twin pairs=== | ||
| − | # {{Kbn|2996863034895|1290000}} and {{Kbn|+|2996863034895|1290000}} on 2016-09-14 | + | # {{T5000|122213|{{Kbn|2996863034895|1290000}}}} and {{T5000|122214|{{Kbn|+|2996863034895|1290000}}}} on 2016-09-14 ([https://www.primegrid.com/download/twin-1290000.pdf official announcement]) |
| − | # {{Kbn|3756801695685|666669}} and {{Kbn|+|3756801695685|666669}} on 2011-12-25 | + | # {{T5000|103792|{{Kbn|3756801695685|666669}}}} and {{T5000|103791|{{Kbn|+|3756801695685|666669}}}} on 2011-12-25 ([https://www.primegrid.com/download/twin-666669.pdf official announcement]) |
==History== | ==History== | ||
Revision as of 02:41, 16 June 2020
The Sophie Germain Search is a PrimeGrid sub-project searching for Sophie Germain and Twin prime pairs. It was launched in 2009 as a successor to the Twin Prime Search sub-project.
Contents
Search range
The current iteration of the project is searching for prime numbers of the form k × 21290000 - 1, for k ≤ 10 trillion. Sophie Germain pairs take the form k × 21290001 - 1, and Twin pairs take the form k × 21290000 + 1.
As of June 2020, the search is currently at k = 5.4 trillion. Live status
The first version of the project searched for prime numbers k × 2n - 1 for 666,666 ≤ n ≤ 666,691 with varying ranges of k values up to 38.5 trillion.
Found primes
As of June 2020 the project has found over 8200 primes, with 2 Sophie Germain pairs and 2 Twin pairs. Each of these discoveries are currently the largest and second largest known pairs in their respective categories.
Sophie Germain pairs
- 2618163402417•21290000-1 and 2618163402417•21290001-1 on 2016-02-29 (official announcement)
- 18543637900515•2666667-1 and 18543637900515•2666668-1 on 2012-04-09 (official announcement)
Twin pairs
- 2996863034895•21290000-1 and 2996863034895•21290000+1 on 2016-09-14 (official announcement)
- 3756801695685•2666669-1 and 3756801695685•2666669+1 on 2011-12-25 (official announcement)
