# 15 · 2^{6429089} - 1

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Description: | 15 · 2^{6429089} - 1 |
---|---|

Verification status (*): | Proven |

Official Comment (*): | [none] |

Proof-code(s): (*): | L4965 : Propper, LLR |

Decimal Digits: | 1935350 (log_{10} is 1935349.8098846) |

Rank (*): | 169 (digit rank is 1) |

Entrance Rank (*): | 167 |

Currently on list? (*): | short |

Submitted: | 10/8/2021 17:17:43 CDT |

Last modified: | 10/9/2021 14:37:15 CDT |

Database id: | 132808 |

Status Flags: | TrialDiv |

Score (*): | 48.6579 (normalized score 67.5343) |

#### 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 132808 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prime notes Command: /home/caldwell/clientpool/1/pfgw64 -tp -q"15*2^6429089-1" 2>&1

PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]

Primality testing 15*2^6429089-1 [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: 19/6429094 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: 20/6429094 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%

15*2^6429089-1 is prime! (75225.1597s+0.1343s)

[Elapsed time: 20.90 hours]modified 2021-10-09 14:14:46 created 2021-10-08 17:21:01 id 178521

Query times: 0.0006 seconds to select prime, 0.0008 seconds to seek comments.

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