20211013, 17:28  #1 
Mar 2016
2×5×41 Posts 
a variation of pollard rho
A peaceful and pleasant night for you,
I present a variation of a pollard rho algorithm, limited to Mp, with use of a solution of the pell equation x²2y²=1. Easy to understand and short for programming. I need 3*3 multiplications for 4 gcds. Program in C is attached. Is this a progress compared to the pollard rho algorithm and mathematically sensefull ? 
20211107, 02:47  #2 
"Alexander"
Nov 2008
The Alamo City
2×419 Posts 
I missed the complex number unit in high school, so I won't comment on that (if anyone has good reading material for me, feel free to suggest). But the fact that you used Floyd's cyclefinding algorithm instead of Brent's, without giving justification why Brent's algorithm wouldn't work here (I think it would), implies that you haven't done enough research into modern (read: post1980) rho implementations, which makes it a little hard to take you seriously.

20211107, 22:35  #3  
"Jane Sullivan"
Jan 2011
Beckenham, UK
3^{2}·5·7 Posts 
Quote:
https://www.mhprofessional.com/97800...bles2edgroup 

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