Generalized Fermat primes of the form k262144+1

Description

The data file can be found here.

Number	Digits	Date	Found
11081688262144+1	1846702	2020-09-18	Erik Veit
10979776262144+1	1845650	2020-08-26	John Hall
10829576262144+1	1844082	2020-07-14	Per Provencher
10793312262144+1	1843700	2020-07-05	Brian D. Niegocki
10627360262144+1	1841936	2020-06-02	Nick Merrylees
10578478262144+1	1841411	2020-05-27	Igor Keller
9812766262144+1	1832857	2020-02-16	Tom Greer
9750938262144+1	1832137	2020-02-12	Alen Kecic
9450844262144+1	1828578	2020-01-21	Jacob Eikelenboom
9125820262144+1	1824594	2019-12-06	Yoshimitsu Kato
8883864262144+1	1821535	2019-11-06	Rod Skinner
8521794262144+1	1816798	2019-09-10	Ken Ito
6291332262144+1	1782250	2018-12-14	Karsten Freihube
6287774262144+1	1782186	2018-12-12	Greg Miller
5828034262144+1	1773542	2018-09-26	Rob Gahan
5205422262144+1	1760679	2018-06-18	James Scott Brown
5152128262144+1	1759508	2018-06-05	Rob Gahan
4489246262144+1	1743828	2018-03-01	Wolfgang Schwieger
4246258262144+1	1737493	2018-02-15	Rob Gahan
3933508262144+1	1728783	2018-01-27	Alen Kecic
3853792262144+1	1726452	2018-01-10	Rod Skinner
3673932262144+1	1721010	2017-12-03	Sean Humphries
3596074262144+1	1718572	2017-11-16	Howard Gordon
3547726262144+1	1717031	2017-10-30	James Scott Brown
3060772262144+1	1700222	2017-06-30	Sean Humphries
2676404262144+1	1684945	2017-03-22	Wolfgang Schwieger
2611294262144+1	1682141	2017-03-12	Roman Vogt
2514168262144+1	1677825	2017-02-24	William de Thomas
2042774262144+1	1654187	2016-11-24	Tsuyoshi Ohsugi
1828858262144+1	1641593	2016-08-11	Brook Harste
1615588262144+1	1627477	2016-05-05	Brook Harste
1488256262144+1	1618131	2016-03-06	Stefan Larsson
1415198262144+1	1612400	2016-02-17	Frank Matillek
773620262144+1	1543643	2012-04-22	Senji Yamashita
676754262144+1	1528413	2012-02-13	Carlos Loureiro
525094262144+1	1499526	2012-01-21	David Tomecko
361658262144+1	1457075	2011-11-05	Michel Johnson
145310262144+1	1353265	2011-02-09	Ricky L. Hubbard
40734262144+1	1208473	2011-03-08	Senji Yamashita
24518262144+1	1150678	2008-03-12	Stephen Scott

Generalized Fermat numbers

Miscellaneous

Generalized Fermat number

Fermat numbers

22n+1 : Fermat numbers Fermat Divisors

Gen. Fermat primes

a2n+1 : n=15 (32768) n=16 (65536) n=17 (131072) n=18 (262144) n=19 (524288) n=20 (1048576)

Gen. Fermat primes

a2n+b2n as (a,b) : (2,1) (3,1) (3,2) (4,3) (5,1) (5,2) (5,3) (5,4) (6,1) (6,5) (7,1) (7,2) (7,3) (7,4) (7,5) (7,6) (8,1) (8,3) (8,5) (8,7) (9,2) (9,5) (9,7) (9,8) (10,1) (10,3) (10,7) (10,9) (11,1) (11,2) (11,3) (11,4) (11,5) (11,6) (11,7) (11,8) (11,9) (11,10) (12,1) (12,5) (12,7) (12,11)

Gen. Fermat primes categories

(2,1) (3,1) (3,2) (4,3) (5,1) (5,2) (5,3) (5,4) (6,1) (6,5) (7,1) (7,2) (7,3) (7,4) (7,5) (7,6) (8,1) (8,3) (8,5) (8,7) (9,2) (9,5) (9,7) (9,8) (10,1) (10,3) (10,7) (10,9) (11,1) (11,2) (11,3) (11,4) (11,5) (11,6) (11,7) (11,8) (11,9) (11,10) (12,1) (12,5) (12,7) (12,11)

GF Divisors

(2,1) (3,1) (3,2) (4,3) (5,1) (5,2) (5,3) (5,4) (6,1) (6,5) (7,1) (7,2) (7,3) (7,4) (7,5) (7,6) (8,1) (8,3) (8,5) (8,7) (9,2) (9,5) (9,7) (9,8) (10,1) (10,3) (10,7) (10,9) (11,1) (11,2) (11,3) (11,4) (11,5) (11,6) (11,7) (11,8) (11,9) (11,10) (12,1) (12,5) (12,7) (12,11)