Quote:
Originally Posted by a1call
Code:
33765749444723236975938383549571694531728722961303548619829414070181324100^2+1
= 6811381392746490569 x
167385405371362584782846408982573842467658758597134437038484622185119073107121016763971211022426995195588062521818021967340171529
I have no idea how frmky could have figured that out or what the significance of any of the numbers are.
ETA:
PARIGP code:
Code:
factor(6811381392746490569 )
%8 =
[ 109 1]
[ 23917 1]
[2612774911073 1]
ETA II One thing you can be sure of is that none of the prime factors p of OPNumber will be of the form 2n+1 where n is an odd integer, so you can rule out the infinite set 3, 7, 11,19, ....as candidates

ETA III You can also be sure that at least one of the prime factors of
OPNumber will be of the form
4*n+1 where
n is an odd integer.