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GF Divisors of Fm = 22m+1

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GF Divisors k•2n+1 of Fermat numbers Fm = 22m+1.

There are 156 GFN divisors:

m k n Discoverer
38 3 41 1903 James Cullen,Allan Cunningham,Alfred Edward Western
207 3 209 1956 Raphael Robinson
157167 3 157169 1995-06 Jeffrey Young
213319 3 213321 1996-08-21 Jeffrey Young
303088 3 303093 1998-01-13 Jeffrey Young
382447 3 382449 1999-07-25 John Cosgrave
2478782 3 2478785 2003-10-10 John Cosgrave
5 5 7 1732 Leonhard Euler
36 5 39 1886 Paul Seelhoff
73 5 75 1906 James Caddall Morehead
125 5 127 1956 Raphael Robinson
1945 5 1947 1957 Raphael Robinson
3310 5 3313 1979 A. Oliver L. Atkin,Neil W. Rickert
23471 5 23473 1984-09-05 Wilfrid Keller
125410 5 125413 1995-08 Jeffrey Young
12 7 14 1877 Ivan Mikheevich Pervushin,Édouard Lucas
117 7 120 1956 Raphael Robinson
284 7 290 1956 Raphael Robinson
316 7 320 1956 Raphael Robinson
2167797 7 2167800 2007-04-17 Curtis Cooper
18233954 7 18233956 2020-10-05 Ryan Propper
63 9 67 1956 Raphael Robinson
461076 9 461081 2003-08-04 Takahiro Nohara
18749 11 18759 1992-09-12 Harvey Dubner
960897 11 960901 2005-02-23 Michael Richard Eaton
18 13 20 1903 Alfred Edward Western
114293 13 114296 1995-08 Jeffrey Young
5523858 13 5523860 2020-01-22 James Scott Brown,PrimeGrid Fermat Divisor Search,(Srsieve/LLR/PFGW)
226 15 229 1956 Raphael Robinson
744 17 747 1976 G. Matthew,Hugh C. Williams
6537 17 6539 1979 Gordon V. Cormack,Hugh C. Williams
9448 19 9450 1980-08-30 Wilfrid Keller
23288 19 23290 1992-12-14 Harvey Dubner
268 21 276 1956 Raphael Robinson
94798 21 94801 1995-03 Jeffrey Young
2141872 25 2141884 2011-09-09 Grzegorz Granowski
452 27 455 1956 Raphael Robinson
7963245 27 7963247 2021-01-16 Tom Greer,PrimeGrid Fermat Divisor Search,(Srsieve/LLR/PFGW)
228 29 231 1956 Raphael Robinson
2023 29 2027 1979 A. Oliver L. Atkin,Neil W. Rickert
4724 29 4727 1979 Gordon V. Cormack,Hugh C. Williams
18757 33 18766 1993-08-20 Harvey Dubner
11 39 13 1899 Allan Cunningham
58 95 61 1957 Raphael Robinson
11 119 13 1899 Allan Cunningham
81 271 84 1957 Raphael Robinson,John L. Selfridge
12 397 16 1903 Alfred Edward Western
77 425 79 1957 Raphael Robinson,John L. Selfridge
15 579 21 1925 Maurice Kraitchik
62 697 64 1977 D. E. Shippee
12 973 16 1903 Alfred Edward Western
6 1071 8 1855 Thomas Clausen,Fortuné Landry
91 1421 93 1977 D. E. Shippee
32 1479 34 1963 Claude P. Wrathall
16 1575 19 1953-08-14 John L. Selfridge
38 2653 40 1963 Claude P. Wrathall
147 3125 149 1979 Gary B. Gostin,Philip B. McLaughlin
52 4119 54 1963 Claude P. Wrathall
99 16233 104 1979-11 Gary B. Gostin,Philip B. McLaughlin,Hiromi Suyama
19 33629 21 1962-11-16 Hans Riesel
42 43485 45 1963 Claude P. Wrathall
134995 47893 134998 2020-05-22 Gary B. Gostin
25 48413 29 1963 Claude P. Wrathall
93 92341 96 1979 Robert Baillie
30 127589 33 1963 Claude P. Wrathall
26 143165 29 1963 Claude P. Wrathall
30 149041 32 1963 Claude P. Wrathall
19 308385 21 1963 Claude P. Wrathall
10 395937 14 1962 John Brillhart
21 534689 23 1963 Claude P. Wrathall
66643 749893 66648 2021-08-12 Erwin Doescher
29 1120049 31 1980-10-17 Gary B. Gostin,Philip B. McLaughlin
75 3447431 77 1982-04 Gary B. Gostin
36 3759613 38 1981-01-02 Gary B. Gostin,Philip B. McLaughlin
635 4258979 645 1991-07-12 Gary B. Gostin
122 5234775 124 1986-05-21 Gary B. Gostin
142 8152599 145 1986-05-22 Gary B. Gostin
12 11613415 14 1974 John C. Hallyburton,John Brillhart
52 21626655 54 1982 Wilfrid Keller
146 37092477 148 1987-12-23 Gary B. Gostin
61 54985063 66 1986-05-17 Gary B. Gostin
17 59251857 19 1978-05 Gary B. Gostin
147 124567335 149 1990-12-01 Gary B. Gostin
11075 171369935 11077 2020-06-29 Gary B. Gostin
27 430816215 29 1985-02-21 Gary B. Gostin
284 1061341513 286 2000-12-25 Leonid N. Durman
37 1275438465 39 1991-04-29 Gary B. Gostin
107 1289179925 111 1992-11-08 Gary B. Gostin
116 3433149787 120 1999-08-08 Tadashi Taura
943 4785972759 954 2012-03-28 Andriy Sen,(GMP-Fermat)
25 16168301139 27 1987-12-16 Philip B. McLaughlin
15 17753925353 17 1987-08-04 Gary B. Gostin
28 25709319373 36 1997-02-05 Tadashi Taura
12 76668221077 14 1986-07-25 Robert Baillie
133 88075576149 135 2001-07-24 Payam Samidoost
88 119942751127 90 2001-03-13 Takahiro Nohara
90 198922467387 92 2001-03-26 Peter Grobstich
43 212675402445 45 2000-12-23 Payam Samidoost
6 262814145745 8 1855 Thomas Clausen,Fortuné Landry,Henri Le Lasseur
94 482524552001 97 2001-04-18 Peter Grobstich
8 604944512477 11 1980 Richard P. Brent,John M. Pollard
83 1595863660157 87 2005-05-12 Vasily A. Danilov
96 3334131633063 101 2008-11-25 Martin Ptáček,(Fermat)
459 5449229488169 465 2013-05-08 Ryan Propper,(GMP-Fermat)
13 6872386635861 19 1991-05-09 Richard Crandall
86 20018578522347 88 2012-06-07 Michael Dangler
52 81909357657279 54 2010-03-15 Cedric Vonck
42 111318179143061 45 2011-03-20 Roman Maznichenko
7 116503103764643 9 1970-09-13 Michael A. Morrison,John Brillhart
132 1075441212722595 135 2018-12-19 Peter Strasser
65 1210895760431083 68 2013-01-29 Roman Maznichenko
118 1527888802614951 120 2019-01-28 Peter Strasser
39 2864929972774011 41 2012-12-07 Tapio Rajala
103 7595155767819149 105 2020-12-31 Peter Strasser,FermatSearch,(mmff)
18 9688698137266697 23 1999-04-16 Richard E. Crandall,Richard J. McIntosh,Claude Tardif
11 10253207784531279 14 1988-05-17 Richard P. Brent
11 434673084282938711 13 1988-05-13 Richard P. Brent
7 11141971095088142685 9 1970-09-13 Michael A. Morrison,John Brillhart
16 180227048850079840107 20 1996-12 Richard E. Crandall,Karl Dilcher
15 1287603889690528658928101555 17 1997-07-03 Richard E. Crandall,C. van Halewyn
22 3853959202444067657533632211 24 2010-03-26 David Bessell
19 8962167624028624126082526703 22 2009-07-18 David Bessell
10 113764057256348108966419940016...51<37> 12 1995-10-20 Richard P. Brent
17 147839757915544940745524731796...11<44> 19 2011-03-15 David Bessell,(Prime95)
9 364043106721088096110224401181...97<46> 11 1990-06-15 Arjen K. Lenstra,Mark S. Manasse
14 178418099781912795759637441764...17<49> 16 2010-02-03 Tapio Rajala,(Prime95)
12 173532302104295945791330996991...99<50> 15 2010-03-27 Michael Vang,(GMP-ECM)
8 456355662672646375825993936521...15<59> 11 1980 Richard P. Brent,John M. Pollard
9 362128936829849024182024971631...07<96> 11 1990-06-15 Arjen K. Lenstra,Mark S. Manasse
10 159228362311386950350933555659...03<248> 13 1995 Richard P. Brent
11 211746151341732855749827845293...53<560> 13 1988-06-20 Richard P. Brent,François Morain
2145351 3 2145353 2003-02-21 John Cosgrave
23 5 25 1878 Ivan Mikheevich Pervushin
95328 7 95330 1994-08-23 Jeffrey Young
9428 9 9431 1983-04-01 Wilfrid Keller
2543548 9 2543551 2011 James Scott Brown
144 17 147 1956 Raphael Robinson
6835 19 6838 1978-09-30 Wilfrid Keller
39 21 41 1956 Raphael Robinson
672005 27 672007 2005-08-30 Curtis Cooper
55 29 57 1956 Raphael Robinson
9 37 16 1903 Alfred Edward Western
71 683 73 1977 D. E. Shippee
66 7551 69 1977 D. E. Shippee
10 11131 12 1953-08-15 John L. Selfridge
5 52347 7 1732 Leonhard Euler
27 141015 30 1963 Claude P. Wrathall
64 17853639 67 1986-05-13 Gary B. Gostin
13 41365885 16 1974 John C. Hallyburton,John Brillhart
72 76432329 74 1986-05-31 Gary B. Gostin
25 1522849979 27 1985-08-07 Gary B. Gostin
77 5940341195 79 1998-04-08 Tadashi Taura
48 2139543641769 50 2001-05-28 Marko Bodschwinna
31 5463561471303 33 2001-04-12 Alexander Kruppa,Tony Forbes
13 20323554055421 17 1991-01-05 Richard Crandall
13 609485665932753836099 19 1995-06-16 Richard P. Brent