Photuris Primality verification needed

[William Allen Simpson]

I wish to roundly thank all those that responded to our need for
verification.  We had several excellent responses.  The primes have now
been better verified using Miller-Rabin with different platforms, and
with separately coded math libraries.  More exhaustive testing is
ongoing.

Thanks are due to Wei Dai and Frank A Stevenson, as well as independent
math libraries by Rich Schroeppel and Eric Young.

Bill.Simpson at um.cc.umich.edu
          Key fingerprint =  2E 07 23 03 C5 62 70 D3  59 B1 4F 5E 1D C2 C1 A2