#
# Numbers of shape: 15^(2^7) + b^(2^7) with 1 <= b < 15 and gcd(15,b) = 1
#         Filename: http://www.AlfredReich.com/GF.15.7.txt
#           Editor: Alfred Reich (zehnp@gmx.de)
#             Date: December 27, 2011
#
#           Source: http://wwwmaths.anu.edu.au/~brent/ftp/factors/factors.gz (Richard Brent): 3085854721, 24216901652687617, 538967573363957541510913 and 103465360092197783041054178423809 (b=1)
#
#            Notes: There are 8 numbers, each number has 151 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: 4254324240155375984953929335956593203002101242089526453761 (b=2) (58 digits) (Reich, Dec 27, 2011) (snfs)
#                   3854190687524570874647849031960783921606082252231937 (b=14) (52 digits) (Reich, Dec 27, 2011) (snfs)
#
1 2 3085854721 24216901652687617 538967573363957541510913 103465360092197783041054178423809 p69
2 626177 4254324240155375984953929335956593203002101242089526453761 p88
4 502453022452481 851101530297246721 172241577429230834378753 p95
7 2 257 14536759952905547009 p129
8 15590649857 3885957664513 p128
11 2 2560418510883073 2118530553679201499393 16171291220942906320987783247717579009 p77
13 2 9984769 28010444430965245411073 39772023601096883701541544428561921 p87
14 257 769 6745397761 3854190687524570874647849031960783921606082252231937 p84