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Difference between revisions of "Primo"
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{{InfoboxProgram|title=Primo|workload=ECPP|release=2001-08-03|latest=4.3.0<br><small>2018-02-21</small>}} | {{InfoboxProgram|title=Primo|workload=ECPP|release=2001-08-03|latest=4.3.0<br><small>2018-02-21</small>}} | ||
| − | '''Primo''' is a computer program which tests numbers for [[ | + | '''Primo''' is a computer program which tests numbers for [[prime|primality]] using the [[Elliptic Curve Primality Proving]] (ECPP) [[algorithm]], the fastest known general-purpose primality testing algorithm. Primo is developed by Marcel Martin using Free Pascal and Lazarus IDE. |
The program does not require a number to be of any specific form. If a number is found to be prime, a [[primality certificate]] is produced, which can be quickly verified. | The program does not require a number to be of any specific form. If a number is found to be prime, a [[primality certificate]] is produced, which can be quickly verified. | ||
Revision as of 23:04, 5 February 2019
| Workload type | ECPP |
| First release | 2001-08-03 |
| Latest version | 4.3.0 2018-02-21 |
Primo is a computer program which tests numbers for primality using the Elliptic Curve Primality Proving (ECPP) algorithm, the fastest known general-purpose primality testing algorithm. Primo is developed by Marcel Martin using Free Pascal and Lazarus IDE.
The program does not require a number to be of any specific form. If a number is found to be prime, a primality certificate is produced, which can be quickly verified.
The record largest prime certified using Primo (as of April 2018) is 2116224-15905. It has 34,987 digits. The certification of this number was done by Peter Kaiser with Primo 4.1.1. The certification process took 694 days for the phase 1 and 58 days for the phase 2 using a Dual Intel E2667 processor (16 cores at 3.2 GHz).
The Factoring Database allows users to upload Primo certificates.
See also
- ecpp-dj - an open-source implementation of ECPP test, which can also verify certificates generated by Primo.
