Last updated: 15 April 2024

Generalized Fermat Primes, 18
Term: b262144 + 1
Total: 109

Reference: PrimePages
Rank Number Digits When Who PrimePages - ID
1 37349040262144 + 1 1985028 Apr 2024 Antonio Lucendo; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137931
2 37047448262144 + 1 1984105 Mar 2024 Alex Meister; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137907
3 36778106262144 + 1 1983274 Mar 2024 Benoit Da Mota; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137890
4 36748386262144 + 1 1983182 Mar 2024 Benoit Da Mota; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137887
5 36717890262144 + 1 1983088 Mar 2024 Jonathan Sipes; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137877
6 36210400262144 + 1 1981503 Mar 2024 Ryan Propper; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137849
7 35196086262144 + 1 1978269 Mar 2024 Antonio Lucendo; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137759
8 34443124262144 + 1 1975807 Feb 2024 Valter Cavecchia; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137659
9 33798406262144 + 1 1973655 Feb 2024 Jochen Beck; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137600
10 33491530262144 + 1 1972617 Feb 2024 Bob Calvin; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137564
11 33061466262144 + 1 1971146 Feb 2024 Anthony Templin; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137486
12 32497152262144 + 1 1969186 Feb 2024 Marius Vultur; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137347
13 32171198262144 + 1 1968038 Feb 2024 Wes Hewitt; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137244
14 32067848262144 + 1 1967672 Feb 2024 Hans Sveen; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137192
15 31371484262144 + 1 1965172 Jan 2024 Randy Eldredge; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136896
16 30941436262144 + 1 1963601 Jan 2024 Yuya Mochizuki; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136870
17 29645358262144 + 1 1958729 Dec 2023 James Schumacher; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136793
18 29614286262144 + 1 1958610 Dec 2023 John Bodlina; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136797
19 29445800262144 + 1 1957960 Dec 2023 Greg Miller; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136790
20 29353924262144 + 1 1957604 Dec 2023 Vaughan Davies; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136788
21 29333122262144 + 1 1957524 Dec 2023 Lorin Arnold; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136787
22 29097000262144 + 1 1956604 Dec 2023 LeRoy Blanchard; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136792
23 28342134262144 + 1 1953611 Dec 2023 Axel Amberg; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136753
24 28259150262144 + 1 1953277 Dec 2023 Jan Kožíšek; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136751
25 28004468262144 + 1 1952246 Dec 2023 Marius Vultur; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136743
26 27789002262144 + 1 1951367 Dec 2023 Lleyton Joseph; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136731
27 27615064262144 + 1 1950652 Dec 2023 Dr. James Scott Brown; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136714
28 26640150262144 + 1 1946560 Oct 2023 Shaun Stewart; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136553
29 26128000262144 + 1 1944350 Sep 2023 James Elmore; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136442
30 25875054262144 + 1 1943243 Aug 2023 Michael Millerick; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136367
31 25690360262144 + 1 1942427 Aug 2023 Shihan Zhao; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136343
32 25635940262144 + 1 1942186 Aug 2023 Igor Keller; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136326
33 25461468262144 + 1 1941408 Jul 2023 Honza Cholt; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136289
34 25333402262144 + 1 1940834 Jul 2023 Dieter Börgerding; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136268
35 24678636262144 + 1 1937853 Jun 2023 Marius Vultur; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136129
36 24429706262144 + 1 1936699 May 2023 Eli T. Drumm; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136113
37 23591460262144 + 1 1932724 Apr 2023 Rafael Trigueiro; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135987
38 23479122262144 + 1 1932181 Apr 2023 Mariusz Ługowski; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135965
39 22984886262144 + 1 1929758 Mar 2023 Frank Doornink; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135884
40 22790808262144 + 1 1928793 Mar 2023 Bryan Little; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135841
41 22480000262144 + 1 1927230 Mar 2023 Igor Keller; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135790
42 22479752262144 + 1 1927229 Mar 2023 Alex Huetter; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135788
43 22470828262144 + 1 1927183 Mar 2023 Dr. James Scott Brown; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135785
44 20866766262144 + 1 1918752 Feb 2023 Tom Greer; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135532
45 20710506262144 + 1 1917896 Feb 2023 Milan Fňašek; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135502
46 20543682262144 + 1 1916975 Feb 2023 Darren Li; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135401
47 20105956262144 + 1 1914523 Feb 2023 Uwe Hass; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135314
48 19859450262144 + 1 1913119 Feb 2023 Detlef Lexut; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135255
49 19527922262144 + 1 1911202 Feb 2023 Bill Cavnaugh; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135194
50 19322744262144 + 1 1910000 Feb 2023 Will Steinbach; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 135166
51 18395930262144 + 1 1904404 Dec 2022 Ryan Propper; GFNSvCUDA sieve; GeneFer; 134628
52 17191822262144 + 1 1896697 Dec 2022 Ryan Propper; GFNSvCUDA sieve; GeneFer; 134609
53 16769618262144 + 1 1893866 Nov 2022 Per Provencher; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 134589
54 16048460262144 + 1 1888862 Sep 2022 Zoltan Kemenes; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 134387
55 15913772262144 + 1 1887902 Aug 2022 Vaughan Davies; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 134302
56 15859176262144 + 1 1887511 Jul 2022 William Byerly; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 134258
57 15417192262144 + 1 1884293 Mar 2022 Erik Veit; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 133785
58 14741470262144 + 1 1879190 Feb 2022 Timothy D Winslow; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 133443
59 14399216262144 + 1 1876516 Dec 2021 Bill Cavnaugh; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 133074
60 14103144262144 + 1 1874151 Oct 2021 Kai Gerstenberger; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 132807
61 13911580262144 + 1 1872594 Aug 2021 Eudy Silva; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 132643
62 13640376262144 + 1 1870352 May 2021 Igor Keller; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 132356
63 13553882262144 + 1 1869628 May 2021 Igor Keller; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 132289
64 13039868262144 + 1 1865227 Feb 2021 Liam McGonegal; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 131844
65 12959788262144 + 1 1864525 Feb 2021 Wolfgang Schwieger; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 131737
66 12582496262144 + 1 1861162 Jan 2021 Jacques Molné; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 131529
67 12529818262144 + 1 1860684 Dec 2020 Brendon Gory; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 131525
68 12304152262144 + 1 1858615 Dec 2020 Wolfgang Schwieger; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 131510
69 12189878262144 + 1 1857553 Dec 2020 Brian D. Niegocki; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 131518
70 11081688262144 + 1 1846702 Sep 2020 Erik Veit; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 131256
71 10979776262144 + 1 1845650 Aug 2020 John Hall; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 131088
72 10829576262144 + 1 1844082 Jul 2020 Per Provencher; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 131019
73 10793312262144 + 1 1843700 Jul 2020 Brian D. Niegocki; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 130999
74 10627360262144 + 1 1841936 Jun 2020 Nick Merrylees; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 130944
75 10578478262144 + 1 1841411 May 2020 Igor Keller; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 130929
76 9812766262144 + 1 1832857 Feb 2020 Tom Greer; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 130530
77 9750938262144 + 1 1832137 Feb 2020 Alen Kecic; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 130484
78 9450844262144 + 1 1828578 Jan 2020 Jacob Eikelenboom; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 130272
79 9125820262144 + 1 1824594 Dec 2019 Yoshimitsu Kato; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 130158
80 8883864262144 + 1 1821535 Nov 2019 Rod Skinner; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 130088
81 8521794262144 + 1 1816798 Sep 2019 Ken Ito; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 129918
82 6291332262144 + 1 1782250 Dec 2018 Karsten Freihube; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 125862
83 6287774262144 + 1 1782186 Dec 2018 Greg Miller; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 125859
84 5828034262144 + 1 1773542 Sep 2018 Rob Gahan; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 125648
85 5205422262144 + 1 1760679 Jun 2018 Dr. James Scott Brown; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 125388
86 5152128262144 + 1 1759508 Jun 2018 Rob Gahan; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 125364
87 4489246262144 + 1 1743828 Mar 2018 Wolfgang Schwieger; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 124488
88 4246258262144 + 1 1737493 Feb 2018 Rob Gahan; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 124353
89 3933508262144 + 1 1728783 Jan 2018 Alen Kecic; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 124190
90 3853792262144 + 1 1726452 Jan 2018 Rod Skinner; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 124118
91 3673932262144 + 1 1721010 Dec 2017 Sean Humphries; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 124044
92 3596074262144 + 1 1718572 Nov 2017 Howard Gordon; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 123995
93 3547726262144 + 1 1717031 Oct 2017 Dr. James Scott Brown; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 123974
94 3060772262144 + 1 1700222 Jun 2017 Sean Humphries; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 123617
95 2676404262144 + 1 1684945 Mar 2017 Wolfgang Schwieger; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 123187
96 2611294262144 + 1 1682141 Mar 2017 Roman Vogt; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 123136
97 2514168262144 + 1 1677825 Feb 2017 William de Thomas; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 123051
98 2042774262144 + 1 1654187 Nov 2016 Tsuyoshi Ohsugi; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 122532
99 1828858262144 + 1 1641593 Aug 2016 Brook Harste; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 122018
100 1615588262144 + 1 1627477 May 2016 Brook Harste; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 121619
101 1488256262144 + 1 1618131 Mar 2016 Stefan Larsson; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 121375
102 1415198262144 + 1 1612400 Feb 2016 Frank Matillek; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 121187
103 773620262144 + 1 1543643 Apr 2012 Senji Yamashita; geneferCUDA; AthGFNSieve; PrimeGrid; LLR 106465
104 676754262144 + 1 1528413 Feb 2012 Carlos Loureiro; geneferCUDA; AthGFNSieve; PrimeGrid; LLR 104592
105 525094262144 + 1 1499526 Jan 2012 David Tomecko; geneferCUDA; AthGFNSieve; PrimeGrid; OpenPFGW 103976
106 361658262144 + 1 1457075 Nov 2011 Michel Johnson; geneferCUDA; AthGFNSieve; PrimeGrid; OpenPFGW 102720
107 145310262144 + 1 1353265 Feb 2011 Ricky L Hubbard; GenefX64; AthGFNSieve; PrimeGrid; OpenPFGW 98160
108 40734262144 + 1 1208473 Mar 2011 Senji Yamashita; GenefX64; AthGFNSieve; PrimeGrid; OpenPFGW 99092
109 24518262144 + 1 1150678 Mar 2008 Stephen Scott; AthGFNSieve; Proth 84401

Generalized Fermat Primes, 19
Term: b524288 + 1
Total: 17

Reference: PrimePages
Rank Number Digits When Who PrimePages - ID
1 8630170524288 + 1 3636472 Apr 2024 Antonio Lucendo; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 137963
2 6339004524288 + 1 3566218 Jun 2023 Ken Glennie; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 136150
3 5897794524288 + 1 3549792 Dec 2022 Ryan Propper; GFNSvCUDA sieve; GeneFer; 134642
4 4896418524288 + 1 3507424 May 2022 Tom Greer; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 133947
5 3638450524288 + 1 3439810 May 2020 Wolfgang Schwieger; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 130938
6 3214654524288 + 1 3411613 Dec 2019 Alen Kecic; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 130199
7 2985036524288 + 1 3394739 Sep 2019 Peter Harvey; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 129943
8 2877652524288 + 1 3386397 Jun 2019 Roman Vogt; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 126598
9 2788032524288 + 1 3379193 Apr 2019 Ed Goforth; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 126397
10 2733014524288 + 1 3374655 Mar 2019 Yair Givoni; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 126324
11 2312092524288 + 1 3336572 Aug 2018 Rob Gahan; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 125520
12 2061748524288 + 1 3310478 Mar 2018 Cesare Marini; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 124537
13 1880370524288 + 1 3289511 Jan 2018 Dr. James Scott Brown; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 124143
14 475856524288 + 1 2976633 Aug 2012 Masashi Kumagai; geneferCUDA; AthGFNSieve; PrimeGrid; LLR 108818
15 356926524288 + 1 2911151 Jul 2012 Tim McArdle; GenefX64; AthGFNSieve; PrimeGrid; LLR 108492
16 341112524288 + 1 2900832 Jun 2012 Peyton Hayslette; geneferCUDA; AthGFNSieve; PrimeGrid; LLR 107930
17 75898524288 + 1 2558647 Nov 2011 Michael Goetz; geneferCUDA; AthGFNSieve; PrimeGrid; OpenPFGW 103235

Generalized Fermat Primes, 20
Term: b1048576 + 1
Total: 4

References: PrimePages
Rank Number Digits When Who PrimePages - ID
1 19637361048576 + 1 6598776 Sep 2022 Tom Greer; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 134423
2 19517341048576 + 1 6595985 Aug 2022 Kazuya Tanaka; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 134298
3 10590941048576 + 1 6317602 Nov 2018 Rob Gahan; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 125753
4 9194441048576 + 1 6253210 Sep 2017 Sylvanus A. Zimmerman; GFNSvCUDA sieve; GeneFer; AthGFNSieve; PrimeGrid; LLR 123875