Proth primes of the form 2187•2ⁿ+1

Reserved! This sequence is currently part of Multi Reservation 25: PrimeGrid Proth Prime Search Extended.

Current data

`k` , `b` :	2187 , 2
Type :	3
Count :	41
Nash :	2141
Max `n` :	1,960,000
Date :	2024-05-14
Reserved :	PrimeGridPrimeGrid/Reserved

3, 6^[1], 15, 23, 30^[2], 36^[3], 66, 68, 72, 75, 162, 183, 272, 918, 1182, 1391, 1503, 2607, 3387, 5382, 7703, 8166^[4], 15810, 16664, 45464, 49215, 52872, 68115, 93174, 127100, 296480, 355583, 400511, 450438, 463623^[5], 535518, 569444, 798500, 799404, 933336, 2786802

Remarks :

Odd n only is currently being searched for n<3322000.

2023-10-21: Checked n = 3322000-3486000, PrimeGrid Proth Mega Prime Search
2019-09-24: Checked n = 1550000-3322000, PrimeGrid Fermat Divisor Search, even n-values only
2019-09-11: Found n = 2786802, Honza Cholt, PrimeGrid Fermat Divisor Search
2019-09-06: Reserved by PrimeGrid Fermat Divisor Search from n=1550000 even n-values only
?: Checked to n = 1550000, PrimeGrid Proth Prime Search Extended
2012-07-08: Found n = 933336, Bart Kus, PrimeGrid Proth Prime Search Extended
2012-03-17: Found n = 799404, Honza Cholt, PrimeGrid Proth Prime Search Extended
2012-03-16: Found n = 798500, Paulo Valdivieso, PrimeGrid Proth Prime Search Extended
2010-11-06: Found n = 569444, Lennart Vogel, PrimeGrid Proth Prime Search Extended
2010-07-29: Found n = 535518, Jan Straka, PrimeGrid Proth Prime Search Extended
2009-07-27: Found n = 463623, Ville Koskinen, PrimeGrid Proth Prime Search Extended
2009-05-03: Found n = 450438, Douglas A. Wood, PrimeGrid Proth Prime Search Extended
2008-01-23: Found n = 355583, Jun Tajima
1998-12-02: Found n = 52872, Tadashi Taura
1996-05-01: Found n = 8166, Patrick Demichel
1996-05-01: Found n = 7703, Patrick Demichel