# 5 · 2^{11355764} - 1

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Description: | 5 · 2^{11355764} - 1 |
---|---|

Verification status (*): | Proven |

Official Comment (*): | [none] |

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

Decimal Digits: | 3418427 (log_{10} is 3418426.2866512) |

Rank (*): | 55 (digit rank is 1) |

Entrance Rank (*): | 54 |

Currently on list? (*): | short |

Submitted: | 10/2/2021 22:10:27 CDT |

Last modified: | 10/5/2021 12:37:17 CDT |

Database id: | 132782 |

Status Flags: | TrialDiv |

Score (*): | 50.4011 (normalized score 381.419) |

#### 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 132782 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prime notes Command: /home/caldwell/clientpool/1/pfgw64 -tp -q"5*2^11355764-1" 2>&1

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

Primality testing 5*2^11355764-1 [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: 19/11355768 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)

Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate

Iteration: 20/11355768 ERROR: ROUND OFF 0.5>0.45

(Test aborted, try again using the -a2 (or possibly -a0) switch)

Running N+1 test using discriminant 3, base 1+sqrt(3)

Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate

Iteration: 22/11355768 ERROR: ROUND OFF 0.5>0.45

(Test aborted

Running N+1 test using discriminant 3, base 1+sqrt(3)

Calling Brillhart-Lehmer-Selfridge with factored part 100.00%

5*2^11355764-1 is prime! (223261.2982s+0.0020s)

[Elapsed time: 2.58 days]modified 2021-10-05 12:12:03 created 2021-10-02 22:11:02 id 178495

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

Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.