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Difference between revisions of "Sierpiński-Riesel Base 5"
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| − | The '''Sierpiński-Riesel Base 5 Project''' is a [[distributed computing project]]. It was | + | The '''Sierpiński-Riesel Base 5 Project''' is a [[distributed computing project]]. It was formerly managed by users of mersenneforum.org, and is currently a subproject on [[PrimeGrid]]. |
==Goal== | ==Goal== | ||
| − | Sierpiński-Riesel Base 5 tries to prove that | + | Sierpiński-Riesel Base 5 tries to prove that {{Vk}}=159986 is the smallest possible [[Sierpiński number base 5]] and that {{Vk}}=346802 is the smallest possible [[Riesel number base 5]]. To prove this, one must find primes for all {{Vk}} below the smallest known number. |
==How to participate== | ==How to participate== | ||
| − | Participants in either of the projects reserve a | + | Participants in either of the projects reserve a {{Vk}} in the forum, then use [[NewPGen]] to [[sieving|sieve]] and then [[LLR]] to PRP test (for primality). After that, users unreserve their {{Vk}} again if no primes are found. Instructions to the project can be found at [http://www.geocities.com/omboohankvald/SRB5.html OmbooHankvalds guidepages]. |
==Status== | ==Status== | ||
| − | + | {{C|red|The correct countings are shown only if every {{Vk}}-value has its own page.}} | |
| + | *[[PrimeGrid Riesel base 5]]: There are <b>{{#expr:{{PAGESINCATEGORY:PrimeGrid Riesel base 5}}-1}}</b> values to prove. | ||
| + | *[[PrimeGrid Sierpiński base 5]]: There are <b>{{#expr:{{PAGESINCATEGORY:PrimeGrid Sierpiński base 5}}-1}}</b> values to prove. | ||
==Results== | ==Results== | ||
| − | |||
==External links== | ==External links== | ||
Latest revision as of 11:42, 5 October 2020
The Sierpiński-Riesel Base 5 Project is a distributed computing project. It was formerly managed by users of mersenneforum.org, and is currently a subproject on PrimeGrid.
Goal
Sierpiński-Riesel Base 5 tries to prove that k=159986 is the smallest possible Sierpiński number base 5 and that k=346802 is the smallest possible Riesel number base 5. To prove this, one must find primes for all k below the smallest known number.
How to participate
Participants in either of the projects reserve a k in the forum, then use NewPGen to sieve and then LLR to PRP test (for primality). After that, users unreserve their k again if no primes are found. Instructions to the project can be found at OmbooHankvalds guidepages.
Status
The correct countings are shown only if every k-value has its own page.
- PrimeGrid Riesel base 5: There are 52 values to prove.
- PrimeGrid Sierpiński base 5: There are 28 values to prove.
