#
# Numbers of shape: 41^(2^9) + b^(2^9) with 1 <= b < 41
#         Filename: http://www.AlfredReich.com/GF.41.9.txt
#           Editor: Alfred Reich (zehnp@gmx.de)
#             Date: March 21, 2011
#           Status: 36 composites
#
#            Notes: There are 40 numbers, each number has 826 digits.
#
#                   Numbers of shape a^(2^m) + b^(2^m) with 1 <= b < a and gcd(a,b) = 1 are called Generalized Fermat Numbers and denoted by GF(a,b,m),
#                   compare Hans Riesel, Prime Numbers and Computer Methods for Factorizations, 1994, 2nd ed, Birkhäuser, pp102
#                   and Wilfrid Keller, http://www.rrz.uni-hamburg.de/RRZ/W.Keller/GFNfacs.html.
#
1 2 218416129 1189032961 c809
2 2123777 6878297089 2563228301248178177 1238121209155770645641040114689 c762
3 2 19457 4105217 34835911681 98775951512878368769 c785
4 14239061739847831262850049 c801
5 2 101377 7230713245697 12409257998825110529 c789
6 100048884737 3269199517697 4727705199617 212905974000641 3152739170807755777 c757
7 2 108268093621249 c812
8 c826
9 2 59393 c821
10 4661321729 4564157647873 13929797925986194744321 c782
11 2 29426689 c818
12 2460673 c820
13 2 58421249 c818
14 37889 26729430017 p811
15 2 15361 c822
16 174935041 1664220769993729 c803
17 2 p826
18 1293857324492801 p811
19 2 1318913 c820
20 40961 5610497 c815
21 2 8318977 20622337 22250601473 357977079809 465242029458433 c775
22 534529 c821
23 2 18433 3159041 c815
24 61441 c821
25 2 c826
26 991541249 46956926977 5824453408769 c794
27 2 c826
28 1647617 165436417 c812
29 2 768486228396573697 1416257389123204489217 c787
30 c826
31 2 826939835395073 c811
32 15361 39937 57048067073 5158076978961042196481 c785
33 2 814276609 86640240559868929 c800
34 1847297 391228173313 c808
35 2 c826
36 13313 c822
37 2 5345281 c819
38 202753 174658209793 8400144769082369 2166856265254990354052046345217 c763
39 2 61441 133121 30318593 p809
40 967269377 c817