#
# Numbers of shape: 16^(2^7) + b^(2^7) with 1 <= b < 16 and gcd(16,b) = 1 and b not a perfect square
#         Filename: http://www.AlfredReich.com/GF.16.7.txt
#           Editor: Alfred Reich (zehnp@gmx.de)
#             Date: December 27, 2011
#
#            Notes: There are 6 numbers, each number has 155 digits.
#                   Any number is completely factored.
#
#                   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.
#
#          Records: 221698904240919275879544279839533625672927597674633060911756101377 (b=7) (66 digits) (Reich, Dec 27, 2011) (snfs)
#
3 257 884910187009 4207202280440159641113802722210817 2121710032209834219090965462717330240006681089 p61
5 257 4549121 89473738187650823236609 p123
7 257 221698904240919275879544279839533625672927597674633060911756101377 p87
11 3329 24800257 48563201 92224194401444857248981365862010369 271362808456110063668733080448078593 p66
13 337153 843287297 7732298519809 p127
15 3358449868897537 439854310266224856804097 p115