# 1455 · 2^{2683953} - 1

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.

#### This prime's information:

Description: | 1455 · 2^{2683953} - 1 |
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Verification status (*): | Proven |

Official Comment (*): | [none] |

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

Proof-code(s): (*): | L1134 : Ogawa, Srsieve, NewPGen, LLR |

Decimal Digits: | 807954 (log_{10} is 807953.52281532) |

Rank (*): | 2578 (digit rank is 2) |

Entrance Rank (*): | 1240 |

Currently on list? (*): | short |

Submitted: | 12/8/2020 10:37:04 CDT |

Last modified: | 12/8/2020 13:50:09 CDT |

Database id: | 131456 |

Status Flags: | TrialDiv |

Score (*): | 45.9786 (normalized score 3.6327) |

#### 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 131456 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prime notes Command: /home/caldwell/clientpool/1/pfgw64 -tp -q"1455*2^2683953-1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 1455*2^2683953-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 11, base 1+sqrt(11) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 18/2683965 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 11, base 1+sqrt(11) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 19/2683965 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a2 (or possibly -a0) switch) Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 1455*2^2683953-1 is prime! (10636.9207s+0.0007s) [Elapsed time: 2.95 hours] modified 2021-04-20 17:39:26 created 2020-12-08 10:51:02 id 177149

Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.

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