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Old 2007-07-21, 20:43   #1
Cruelty
 
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May 2005

65216 Posts
Default Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

OK, if we really want to start with GM and GQ search then we should convince Jean Penné to modify LLR to include "factoring-override" switch. IMO right now LLR spends too much time on factoring. Also when using pre-factored files LLR does not resume factoring at indicated depth (e.g. 56 bits) but starts from the beginning - this actually works but only if you continue factoring-only assignments.
Finally, as far as GQ search is concerned there is still a range below GM36 to be tested. Last time I was in contact with Jean he was doing 500k-600k range, and I have completed 600k-700k range, so 700k-GM36 range is still open for GQs - every GQ above 700k will enter TOP-10 on the PRP record page

Current status:
Code:
till 600k - completed by Jean Penné (GQ-only effort)
600k - 700k - completed by Cruelty (GQ-only effort)
700k - GM36 - completed by Thomas11 (GQ-only effort, 1 GQ found)
GM36 - 2M - completed by Cruelty (2 GMs + 5 GQs found)
2M - 3.5M - completed by Batalov (1 GQ found)
3.5M - 3.85M - completed by Batalov (1 GM found)
3.85M - 4.3M - completed by Batalov
4.3M - 4.7M - completed by Batalov (1 GQ found)
4.7M - 5.1M - completed by Batalov (1 GM found)
5.1M - 7.5M - completed by Batalov+Propper (1 GQ found)
7.5M - 20M - reserved by Batalov+Propper (GM-only effort at this time, but 1 GQ found)
_________________________________________
5.1M - 21M - pre-factored to 63 bits  by Batalov
3.85M - 5M - pre-factored till 55 bits by Citrix
GM37-40M - pre-factored till 48 bits by Cruelty
List of found primes and PRPs (since 2010):
Code:
GM/GQ			Decimal digits	who		when
2^15317227+2^7658614+1	4610945 Ryan Propper + Serge Batalov	07/2020
((2^6251862-1)^2+1)/10	3763995	Ryan Propper + Serge Batalov	07/2020
((2^2621670-1)^2+1)/10	1578402	Ryan Propper + Serge Batalov	06/2020
2^4792057-2^2396029+1	1442553	Serge Batalov	04/2014 Gaussian Mersenne 40?
((2^2266537+1)^2+1)/10	1364591	Serge Batalov	03/2014
2^3704053+2^1852027+1	1115032	Serge Batalov	09/2014 Gaussian Mersenne 39?
((2^1152891-1)^2+1)/10	694109	Serge Batalov	01/2014
((2^941394-1)^2+1)/10	566775	Borys Jaworski	11/2012
((2^834610-1)^2+1)/10	502485	Borys Jaworski	01/2011
2^1667321-2^833661+1	501914	Borys Jaworski	01/2011 Gaussian Mersenne 38?
((2^396031-1)^2+1)/10	238434	Thomas Ritschel	03/2014

Last fiddled with by Batalov on 2014-09-08 at 01:17 Reason: status update
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