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Proth primes of the form 4•3ⁿ+1

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Revision as of 15:24, 9 September 2024 by Ryanp (talk | contribs) (fix count)

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Reserved! This sequence is currently reserved by: Ryan Propper

Current data

`k` , `b` :	4 , 3
Count :	31
Nash :	1703
Max `n` :	5,000,000
Date :	2024-09-09
Reserved :	Ryan PropperRyan Propper/Reserved

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, 4020126, 6402015, 7578378

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

2024-09-06: Reserved by Ryan Propper for n = 1000000 - 5000000
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 n = 1200000 - 1500000, Matthias Baur
2020-01-16: Found n = 1499606, Matthias Baur
2019-12-07: Checked n = 1000000 - 1200000, Matthias Baur
2019-11-28: Found n = 1154598, Matthias Baur
2019-07-28: Checked n = 990000 - 1000000, Matthias Baur
2019-07-24: Checked n = 800000 - 990000, Matthias Baur
2019-07-12: Found n = 887535, Matthias Baur
2019-07-10: Found n = 980925, Matthias Baur
2019-06-04: Checked n = 600000 - 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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