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Difference between revisions of "PrimeGrid Generalized Fermat Prime Search"

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(GFN completed + Nums)
m (Fix date of one linked forum post (2022 instead of 2023))
 
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== Completed ==
 
== Completed ==
* 2022-01: [[PrimeGrid GFN-17 Low]], testing {{Vb}} < {{Num|42597774}} ({{HistLink|2021-11-14|P#9796}}: Forum / {{HistLink|2023-01-23|P#9796#153518}}: Post)
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* 2022-01: [[PrimeGrid GFN-17 Low]], testing {{Vb}} < {{Num|42597774}} ({{HistLink|2021-11-14|P#9796}}: Forum / {{HistLink|2022-01-23|P#9796#153518}}: Post)
 
* 2023-11-15: [[PrimeGrid GFN-15]] was terminated at {{Vb}} = {{Num|460000000}}. ({{HistLink|2023-09-14|P#10333}}: Forum / {{HistLink|2023-11-08|P#10333#166430}}: Post)
 
* 2023-11-15: [[PrimeGrid GFN-15]] was terminated at {{Vb}} = {{Num|460000000}}. ({{HistLink|2023-09-14|P#10333}}: Forum / {{HistLink|2023-11-08|P#10333#166430}}: Post)
  

Latest revision as of 06:38, 29 December 2023

The Generalized Fermat Prime Search is a PrimeGrid sub-project, launched in 2009.[1] It is sometimes abbreviated to "Genefer" or "GFN". It is searching for Generalized Fermat prime numbers.

Purpose

The project is currently searching for primes of the form b2n+1 where:

  • 16 ≤ n ≤ 22
  • b ≤ 2 • 109

PrimeGrid GFN-17 (where n = 17) was split into two sub-projects:

There is also "Do You Feel Lucky?", a variant of PrimeGrid GFN-22 (where n = 22) designed to find world record primes. It is currently searching b ≥ 846,398, the smallest b necessary such that any prime found would be larger than M51, making it a world record prime number. If a new world record is found outside of PrimeGrid then this project will jump up to the minimum b needed to surpass that number.[2]

Primes found

As of July 2023 over 7,000 primes have been found. Full list from PrimeGrid's website

The largest four finds have been PrimeGrid GFN-20:

  • 2022-09-24: 19637361048576+1
  • 2022-08-09: 19517341048576+1
  • 2018-10-31: 10590941048576+1
  • 2017-08-29: 9194441048576+1

Status

Live status at PrimeGrid

Completed

References

PrimeGrid