# 566761969187 · 4733#/2 + 2

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description: | 566761969187 · 4733#/2 + 2 |
---|---|

Verification status (*): | PRP |

Official Comment (*): | Quintuplet (4) |

Proof-code(s): (*): | c67 : Batalov, NewPGen, OpenPFGW, Primo |

Decimal Digits: | 2034 (log_{10} is 2033.9154042507) |

Rank (*): | 100297 (digit rank is 3) |

Entrance Rank (*): | 99014 |

Currently on list? (*): | short |

Submitted: | 12/6/2020 22:47:09 CDT |

Last modified: | 12/6/2020 23:20:11 CDT |

Database id: | 131447 |

Status Flags: | Verify, TrialDiv |

Score (*): | 27.4896 (normalized score 0) |

#### Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper. Such primes are tracked with archival tags.

- Quintuplet (archivable class *)
- Prime on list:
yes, rank1

Subcategory: "Quintuplet (4)"

(archival tag id 225734, tag last modified 2020-12-06 23:20:13)

#### Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions. We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.

field value prime_id 131447 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prp notes Command: /home/caldwell/clientpool/1/pfgw64 -tc -q"566761969187*4733#/2+2" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 566761969187*4733#/2+2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 11, base 1+sqrt(11) Calling N-1 BLS with factored part 0.50% and helper 0.03% (1.55% proof) 566761969187*4733#/2+2 is Fermat and Lucas PRP! (0.2048s+0.0002s) [Elapsed time: 0.00 seconds] modified 2021-04-20 17:39:26 created 2020-12-06 22:51:02 id 177140

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.

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