# 798 · Bern(8766)/(2267959 · 6468702182951641)

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Description: | 798 · Bern(8766)/(2267959 · 6468702182951641) |
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Verification status (*): | PRP |

Official Comment (*): | Irregular, ECPP |

Unofficial Comments: | This prime has 1 user comment below. |

Proof-code(s): (*): | c94 : Gelhar, Ritschel, TOPS, Primo |

Decimal Digits: | 23743 (log_{10} is 23742.134574679) |

Rank (*): | 67101 (digit rank is 2) |

Entrance Rank (*): | 66099 |

Currently on list? (*): | short |

Submitted: | 1/4/2021 08:05:40 CDT |

Last modified: | 1/4/2021 08:20:11 CDT |

Database id: | 131539 |

Status Flags: | Verify, TrialDiv |

Score (*): | 35.1167 (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.

- Irregular Primes (archivable *)
- Prime on list:
yes, rank3

Subcategory: "Irregular Primes"

(archival tag id 225782, tag last modified 2021-05-01 12:20:47)- Elliptic Curve Primality Proof (archivable *)
- Prime on list:
no, rank21

Subcategory: "ECPP"

(archival tag id 225783, tag last modified 2021-05-04 10:20:37)

#### User comments about this prime (disclaimer):

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#### 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 131539 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prp notes PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 1363247402...3245956061 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 13 Running N+1 test using discriminant 23, base 1+sqrt(23) Calling N+1 BLS with factored part 0.04% and helper 0.04% (0.17% proof) 1363247402...3245956061 is Fermat and Lucas PRP! (50.1297s+0.0031s) [Elapsed time: 50.00 seconds] modified 2021-04-20 17:39:25 created 2021-01-04 08:06:14 id 177235

Query times: 0.0005 seconds to select prime, 0.0011 seconds to seek comments.

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