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Proth primes of the form 4•3ⁿ+1

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Revision as of 06:56, 30 August 2024 by Gd barnes (talk | contribs) (Williams prime comment)

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Current data

`k` , `b` :	4 , 3
Count :	28
Nash :	1703
Max `n` :	1,500,000
Date :	2020-05-08

1, 2, 3, 6, 14, 15, 39, 201, 249, 885, 1005, 1254, 1635, 3306, 3522, 9602, 19785, 72698, 233583, 328689, 537918, 887535, 980925, 1154598, 1499606, 1936890, 2016951, 2143374

Remarks :

The sequence A005537 in OEIS
For all even n-values 4•3ⁿ+1 is a Generalized Fermat number.
See also Williams 4•3ⁿ+1

History

2020-05-08: Found n = 2016951, Ryan Propper
2020-05-07: ?, Matthias Baur, released
2020-05-07: Found n = 2143374, Ryan Propper
2020-05-07: Found n = 1936890, Ryan Propper
2020-01-16: Checked to n = 1500000, Matthias Baur
2020-01-16: Found n = 1499606, Matthias Baur
2019-12-07: Checked to n = 1200000, Matthias Baur
2019-11-28: Found n = 1154598, Matthias Baur
2019-07-28: Checked to n = 1000000, Matthias Baur
2019-07-12: Found n = 887535, Matthias Baur
2019-07-10: Found n = 980925, Matthias Baur
2019-06-04: Checked to n = 800000, Matthias Baur
2018-12-06: Checked to n = 600000, Matthias Baur
2005-11-29: Found n = 233583, Boris Iskra
1996-12-01: Found n = 19785, Chris Caldwell
1996-12-01: Found n = 9602, Chris Caldwell
1992: Found n = 3522, Chris Caldwell
1992: Found n = 3306, Chris Caldwell

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