# 1021 · 2^{1833459} - 1

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Description: | 1021 · 2^{1833459} - 1 |
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Verification status (*): | Proven |

Official Comment (*): | [none] |

Proof-code(s): (*): | L1828 : Benson, PSieve, Srsieve, Rieselprime, LLR |

Decimal Digits: | 551930 (log_{10} is 551929.16384583) |

Rank (*): | 3102 (digit rank is 1) |

Entrance Rank (*): | 708 |

Currently on list? (*): | yes |

Submitted: | 8/21/2014 03:21:11 CDT |

Last modified: | 8/21/2014 08:51:31 CDT |

Database id: | 118376 |

Status Flags: | TrialDiv |

Score (*): | 44.8086 (normalized score 1.4575) |

#### 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 118376 person_id 9 machine Xeon 4c+4c 3.5GHz what prime notes Command: ./pfgw64 -tp -q"1021*2^1833459-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 1021*2^1833459-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 18/1833470 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 1021*2^1833459-1 is prime! (4070.4242s+0.0006s) [Elapsed time: 67.83 minutes] modified 2020-07-07 17:30:17 created 2014-08-21 07:30:53 id 163952

Query times: 0.0002 seconds to select prime, 0.0006 seconds to seek comments.

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