cat keylist Encryption pairs for Viewpoint cusp document authentication. Primes were selected to product a 12 digit product and selected such that a search strategy starting a sqrt(n) and searching downward, or starting a 2 and searching upward would require approximaely the same time. Factorization, using a simple bc program was demonstrated to require 3 hours. PHI(n) = 337365537264 p = 289129 q = 1166839 n = 337366993231 54493 331583153989 52103 25543769927 48757 181888300717 43499 156269758163 40153 230071987321 35851 37226801635 33461 105199247357 32983 97344323383 32027 112943244467 30593 288524561729 24379 117446216611 19121 120577170737 17209 45932213017 16253 275716878821 14341 95297942365 12907 174733758163 10039 58238318167 7649 95489134289 5737 132370546345 3347 29634140411 1913 274583450873 $