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GF Divisors of GF(3,1) = 32n+1 div 2
GF Divisors k•2n+1 of Generalized Fermat numbers GF(3,1) = 32n+1 div 2.
There are 121 GFN divisors:
m | k | n | Discoverer |
---|---|---|---|
3 | 1 | 4 | |
7 | 1 | 8 | 1981 Cunningham project |
15 | 1 | 16 | 1992 Harvey Dubner |
3 | 3 | 6 | |
8 | 3 | 12 | 1981 Cunningham project |
15 | 3 | 18 | 1992 Harvey Dubner |
26 | 3 | 30 | 1992 Harvey Dubner |
32 | 3 | 36 | 1992 Harvey Dubner |
38 | 3 | 41 | 1992 Harvey Dubner |
63 | 3 | 66 | 1992 Harvey Dubner |
187 | 3 | 189 | 1992 Harvey Dubner |
198 | 3 | 201 | 1992 Harvey Dubner |
207 | 3 | 209 | 1992 Harvey Dubner |
271 | 3 | 276 | 1992 Harvey Dubner |
403 | 3 | 408 | 1992 Harvey Dubner |
435 | 3 | 438 | 1992 Harvey Dubner |
531 | 3 | 534 | 1992 Harvey Dubner |
2197 | 3 | 2208 | 1992 Harvey Dubner |
3160 | 3 | 3168 | 1992 Harvey Dubner |
3187 | 3 | 3189 | 1992 Harvey Dubner |
3906 | 3 | 3912 | 1992 Harvey Dubner |
34346 | 3 | 34350 | 1992 Harvey Dubner |
42290 | 3 | 42294 | 1996 Anders Björn,Hans Riesel |
44683 | 3 | 44685 | 1996 Anders Björn,Hans Riesel |
48146 | 3 | 48150 | 1996 Anders Björn,Hans Riesel |
54787 | 3 | 54792 | 2003 Martin Schröder |
55178 | 3 | 55182 | 1996 Anders Björn,Hans Riesel |
59970 | 3 | 59973 | 1996 Anders Björn,Hans Riesel |
80187 | 3 | 80190 | 1996 Anders Björn,Hans Riesel |
157167 | 3 | 157169 | 1997 Yves Gallot |
213319 | 3 | 213321 | 1997 Yves Gallot |
303088 | 3 | 303093 | 1998 Yves Gallot |
382447 | 3 | 382449 | 1999 John Cosgrave |
709962 | 3 | 709968 | 2005 Keith P. Adney |
801973 | 3 | 801978 | 2005 Keith P. Adney |
916771 | 3 | 916773 | 2001 John Cosgrave |
1832490 | 3 | 1832496 | 2007 Joseph Bohanon |
2145351 | 3 | 2145353 | 2003 John Cosgrave |
2291607 | 3 | 2291610 | 2008 Lennart Vogel |
2478782 | 3 | 2478785 | 2003 John Cosgrave |
5082303 | 3 | 5082306 | 2009 Mirko Wunder |
7033639 | 3 | 7033641 | 2011 John Blazek |
10829343 | 3 | 10829346 | 2014 Sai Yik Tang |
16408814 | 3 | 16408818 | 2020-10-28 James Scott Brown |
54 | 5 | 55 | 1992 Harvey Dubner |
126 | 5 | 127 | 1992 Harvey Dubner |
13164 | 5 | 13165 | 1992 Harvey Dubner |
240936 | 5 | 240937 | 1997 Yves Gallot |
819738 | 5 | 819739 | 2001 Manfred Toplic |
1282754 | 5 | 1282755 | 2002 Manfred Toplic |
49 | 7 | 50 | 1992 Harvey Dubner |
319 | 7 | 320 | 1992 Harvey Dubner |
54485 | 7 | 54486 | 1992 Harvey Dubner |
95329 | 7 | 95330 | 1996 Anders Björn,Hans Riesel |
29 | 9 | 33 | 1992 Harvey Dubner |
61 | 9 | 63 | 1992 Harvey Dubner |
64 | 9 | 67 | 1992 Harvey Dubner |
79 | 9 | 81 | 1992 Harvey Dubner |
158 | 9 | 162 | 1992 Harvey Dubner |
1303 | 9 | 1305 | 1992 Harvey Dubner |
1488 | 9 | 1494 | 1992 Harvey Dubner |
2822 | 9 | 2826 | 1992 Harvey Dubner |
3684 | 9 | 3690 | 1992 Harvey Dubner |
4838 | 9 | 4842 | 1992 Harvey Dubner |
9429 | 9 | 9431 | 1992 Harvey Dubner |
39177 | 9 | 39186 | 1993 Harvey Dubner |
461077 | 9 | 461081 | 2003 Takahiro Nohara |
2543549 | 9 | 2543551 | 2011 James Scott Brown |
12406885 | 9 | 12406887 | 2020 Serge Batalov |
13334485 | 9 | 13334487 | 2020 Serge Batalov |
80 | 11 | 81 | 1992 Harvey Dubner |
2230368 | 11 | 2230369 | 2011 Václav Vinklát |
2897408 | 11 | 2897409 | 2013 Predrag Kurtovic |
19 | 13 | 20 | 1992 Harvey Dubner |
999 | 13 | 1000 | 1992 Harvey Dubner |
1499875 | 13 | 1499876 | 2004 Peter Grobstich |
896 | 15 | 900 | 1992 Harvey Dubner |
24990 | 15 | 24995 | 1993 Harvey Dubner |
1276174 | 15 | 1276177 | 2006 Curtis Cooper |
4800313 | 15 | 4800315 | 2019 Ricky L. Hubbard |
266 | 17 | 267 | 1992 Harvey Dubner |
1990298 | 17 | 1990299 | 2006 Peter Grobstich |
39 | 21 | 41 | 1992 Harvey Dubner |
1966 | 21 | 1969 | 1992 Harvey Dubner |
28 | 23 | 29 | 1992 Harvey Dubner |
10 | 29 | 11 | 1992 Harvey Dubner |
4726 | 29 | 4727 | 1992 Harvey Dubner |
7374576 | 29 | 7374577 | 2020 Pavel Atnashev |
139 | 31 | 140 | 1992 Harvey Dubner |
768062 | 35 | 768063 | 2006 Reto Keiser |
831410 | 35 | 831411 | 2006 Curtis Cooper |
21 | 37 | 22 | 1992 Harvey Dubner |
2705360 | 39 | 2705367 | 2013 Gary Craig |
3527 | 43 | 3528 | 1992 Harvey Dubner |
10421 | 43 | 10422 | 1992 Harvey Dubner |
370 | 45 | 372 | 1992 Harvey Dubner |
76414 | 45 | 76416 | 1999 Gennady N. Gusev |
574504 | 45 | 574506 | 2007 Nestor Sergio de Araujo Melo |
1642 | 93 | 1646 | 1996 Anders Björn,Hans Riesel |
897 | 499 | 898 | 1992 Harvey Dubner |
56 | 615 | 59 | 1992 Harvey Dubner |
2843 | 1045 | 2844 | 1993 Harvey Dubner |
2975440 | 1065 | 2975442 | 2021 Ondrej Hajek |
7 | 1075 | 8 | 1981 Cunningham project |
8 | 17525 | 9 | 1981 Cunningham project |
9 | 131233 | 10 | 1993 Anders Björn,Hans Riesel |
4 | 672605 | 5 | |
1805 | 1452705 | 1812 | 2003 Nestor Sergio de Araujo Melo |
9 | 21797545 | 10 | 1993 Anders Björn,Hans Riesel |
9 | 11796787435 | 10 | 1994 Anders Björn,Hans Riesel |
7 | 16897536483 | 13 | 1983 Diane B. Holdridge, James A. Davis |
5 | 14476720225405 | 6 | |
15 | 46409657301841 | 16 | 2008 Geoffrey Reynolds |
15 | 3631214833894917 | 18 | 2008 Geoffrey Reynolds |
7 | 15288227662166113 | 8 | 1983 Diane B. Holdridge,James A. Davis |
7 | 75121989674761065 | 11 | 1983 Diane B. Holdridge,James A. Davis |
9 | 98156862644431549 | 10 | 1994 Anders Björn,Hans Riesel |
8 | 1740636961953854693 | 9 | 1986 Robert D. Silverman |
8 | 138139700146349586211941790195...83<88> | 9 | 1986 Robert D. Silverman |
9 | 180862837289076606443765332362...87<90> | 10 | 2008 Tom Womack |
9 | 437137734571047980708665945596...51<96> | 15 | 2008 Tom Womack |