M248 851 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	119.4045	73.1343%	263000000	2865440107530	1,272.2091	24.1984%	1,391.6136	79.6354%
Target	2⁴⁴	0.0000	59.0909%	4500	110000	0.0001	10.1530%	0.0001	63.2444%
Difference	+23	+119.4044	+14.0434%	+262995500	+2865439997530	+1,272.2091	+14.0454%	+1,391.6135	+16.3910%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2000-11-25	ANONYMOUS	v4_computers	100000	4000000		-		-	-	0.003	-	-	2.243%
2001-06-09	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.005	-	-	2.710%
2002-06-02	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.551%
2002-08-10	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.232%
2003-03-07	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.007	-	-	3.040%
2003-11-08	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.014	-	-	3.965%
2011-02-07	Jocelyn Larouche	Manual testing	2000000	2000000		-		-	-	0.016	-	-	2.599%
2011-07-24	Jocelyn Larouche	Manual testing	2016763	2016763		-		-	-	0.016	-	-	2.607%
2012-02-26	Jocelyn Larouche	Manual testing	2520954	2520954		-		-	-	0.021	-	-	2.823%
2013-10-13	David Campeau	i5-2500k	2570000	74530000		-		-	-	0.053	-	-	6.368%
2014-12-24	thelegendarymudkip	i5-4670k	10000000	250000000		-		-	-	0.188	-	-	8.540%
2016-05-13	mognuts	Manual testing	2782	69550		-		-	-	5.22314e-5	-	-	0.136%
2021-12-04	Seth_Tr	Manual testing	120000000	120000000		-		-	-	0.976	-	-	7.898%
2021-12-05	Seth_Tr	Manual testing	120000000	57783635910		-		-	-	26.54	-	-	17.820%
2022-05-29	Sid & Andy	Rocky	263000000	2865440107530		-		-	-	1,272	-	-	24.198%

date	userid	compid	b1	b2	start	factor	bits*	ghz-days
2023-02-05	masser	Manual testing	30000000	960000000	72	59	-	-	0.775
2023-02-05	masser	Manual testing	30000000	990000000	2	7	-	-	0.788
2023-02-11	masser	Manual testing	30000000	990000000	6	5	-	-	0.788

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-24	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-04-27	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.010	-	-
2022-03-07	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.010	-	-
2001-02-18	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.039	-	-
2002-04-14	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.077	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁷	2⁵⁸		-	-	0.077	-	-
2008-12-31	Sturle Sunde	gluck.ifi	2⁵⁸	2⁵⁹		-	-	0.154	-	-
2009-01-24	Sturle Sunde	kraus.ifi	2⁵⁹	2⁶⁰		-	-	0.309	-	-
2013-07-13	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.617	-	-
2015-08-10	snme2pm1	Manual testing	2⁶¹	2⁶²		-	-	1.234	-	-
2016-01-27	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	3.945	-	-
2016-01-27	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	7.890	-	-
2018-03-12	Gordon Spence	Manual testing	2⁶⁴	2⁶⁵		-	-	15.01	-	-
2019-12-31	Gordon Spence	Manual testing	2⁶⁵	2⁶⁶		-	-	30.03	-	-

ECM factoring results:

Total ECM effort:	19.146 GHz-days
Estimated T-Level:	29.855

Digits	B1	Complete	FacMiss
20	11000	64.178	0.000%
25	50000	9.240	0.010%
30	250000	0.971	37.874%
35	1000000	0.080	92.335%
40	3000000	0.005	99.468%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		293	1.751
250000	25000000		582	17.39

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-08	George Woltman	D_P4Debug	50000	5000000						1	0.006
2007-08-17	Team_Bundu	bundu1	50000	5000000						1	0.006
2007-08-28	Chad Davis	Bayes	50000	5000000						1	0.006
2007-09-08	Chad Davis	Bayes	50000	5000000						1	0.006
2007-10-05	Chad Davis	Bayes	50000	5000000						1	0.006
2007-12-18	Sturle Sunde	minister	50000	5000000						1	0.006
2007-12-18	Steve Scott	Abit	50000	5000000						1	0.006
2007-12-18	Steve Scott	Abit	50000	5000000						1	0.006
2007-12-18	Steve Scott	Abit	50000	5000000						1	0.006
2007-12-18	Steve Scott	Abit	50000	5000000						1	0.006
2008-01-04	Steve Scott	Asus-1	50000	5000000						1	0.006
2008-02-23	Steve Scott	Abit-2	50000	5000000						3	0.018
2008-08-26	Sturle Sunde	v17	50000	5000000						3	0.018
2008-09-23	Sturle Sunde	v21	50000	5000000						3	0.018
2008-10-17	Sturle Sunde	v21	50000	5000000						3	0.018
2008-11-17	Sturle Sunde	v21	50000	5000000						3	0.018
2008-12-07	Sturle Sunde	v17	50000	5000000						3	0.018
2009-01-12	Sturle Sunde	v23	50000	5000000						3	0.018
2009-02-11	Dalos Lee	dalosdesk	50000	5000000						3	0.018
2009-03-01	Sturle Sunde	v21	50000	5000000						3	0.018
2009-03-17	James Heinrich	WHS	50000	5000000						3	0.018
2009-04-06	maxybo	CB418E216	50000	5000000						3	0.018
2009-04-14	Sturle Sunde	v21	50000	5000000						3	0.018
2009-04-19	Sturle Sunde	v21	50000	5000000						3	0.018
2009-04-25	Sturle Sunde	v23	50000	5000000						3	0.018
2009-04-29	Sturle Sunde	v23	50000	5000000						3	0.018
2009-05-03	Sturle Sunde	v23	50000	5000000						3	0.018
2009-05-06	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-07	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-10	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-13	Sturle Sunde	v23	50000	5000000						3	0.018
2009-05-17	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-22	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-26	Sturle Sunde	v23	50000	5000000						3	0.018
2009-05-29	ClknGo Software	cngws2	50000	5000000						3	0.018
2009-06-02	Sturle Sunde	v23	50000	5000000						3	0.018
2009-06-06	Sturle Sunde	v23	50000	5000000						3	0.018
2009-06-15	Sturle Sunde	v23	50000	5000000						3	0.018
2009-06-17	Sturle Sunde	v23	50000	5000000						3	0.018
2009-06-20	Sturle Sunde	v21	50000	5000000						3	0.018
2009-06-30	ClknGo Software	cngws2	50000	5000000						3	0.018
2009-07-13	linded	23G4692-Lib1	50000	5000000						3	0.018
2009-07-25	Sturle Sunde	v21	50000	5000000						3	0.018
2009-08-05	Sturle Sunde	v23	50000	5000000						3	0.018
2009-08-18	Sturle Sunde	v21	50000	5000000						3	0.018
2009-08-26	Sturle Sunde	v21	50000	5000000						3	0.018
2009-08-28	Sturle Sunde	v23	50000	5000000						3	0.018
2009-08-31	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-04	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-07	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-10	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-14	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-17	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-20	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-24	linded	23G4692-Lib1	50000	5000000						3	0.018
2009-09-26	ANONYMOUS	v23	50000	5000000						3	0.018
2009-09-30	Sturle Sunde	v23	50000	5000000						3	0.018
2009-10-05	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-11	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-14	Sturle Sunde	v23	50000	5000000						3	0.018
2009-10-19	Lackó	Iroda_Andras	50000	5000000						3	0.018
2009-10-22	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-24	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-27	ClknGo Software	cngws2	50000	5000000						3	0.018
2009-10-29	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-01	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-04	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-06	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-09	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-12	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-18	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-20	Dalos Lee	dalosdesk	50000	5000000						3	0.018
2009-11-23	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-26	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-29	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-02	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-05	Sturle Sunde	v23	50000	5000000						3	0.018
2009-12-09	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-12	Sturle Sunde	v23	50000	5000000						3	0.018
2009-12-15	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-20	Lackó	Iroda_Andras	50000	5000000						3	0.018
2009-12-25	Sturle Sunde	v23	50000	5000000						3	0.018
2009-12-31	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-06	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-10	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-14	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-16	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-20	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-24	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-27	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-29	Sturle Sunde	v21	50000	5000000						3	0.018
2010-02-02	Sturle Sunde	v23	50000	5000000						3	0.018
2010-02-04	Sturle Sunde	v21	50000	5000000						3	0.018
2010-02-08	Sturle Sunde	v21	50000	5000000						3	0.018
2010-02-11	Sturle Sunde	v21	50000	5000000						3	0.018
2010-02-15	Sturle Sunde	v23	50000	5000000						3	0.018
2010-02-18	ANONYMOUS	v23	50000	5000000						3	0.018
2010-02-24	Sturle Sunde	v23	50000	5000000						3	0.018
2010-03-04	Sturle Sunde	v23	50000	5000000						3	0.018
2010-03-10	Sturle Sunde	v23	50000	5000000						3	0.018
2010-03-17	James Hintz	NEW_OMFG	50000	5000000						10	0.060
2010-04-07	James Hintz	NEW_OMFG	50000	5000000						5	0.030
2010-04-07	Sturle Sunde	v23	250000	25000000						3	0.090
2010-04-24	Sturle Sunde	v23	250000	25000000						3	0.090
2010-05-08	Sturle Sunde	v23	250000	25000000						3	0.090
2010-05-23	Sturle Sunde	v23	250000	25000000						3	0.090
2010-06-02	Sturle Sunde	v21	250000	25000000						3	0.090
2010-07-11	Sturle Sunde	v21	250000	25000000						3	0.090
2010-08-18	ClknGo Software	cngws2	250000	25000000						3	0.090
2010-08-19	David Bessell	T413	250000	25000000						3	0.090
2010-09-11	ANONYMOUS	v23	250000	25000000						3	0.090
2010-10-04	David Bessell	T413	250000	25000000						3	0.090
2010-10-22	Sturle Sunde	v23	250000	25000000						3	0.090
2010-11-13	Sturle Sunde	v21	250000	25000000						3	0.090
2010-12-05	Sturle Sunde	v21	250000	25000000						3	0.090
2010-12-24	David Bessell	T413	250000	25000000						3	0.090
2011-01-17	Bruce	Latitude-E6510	250000	25000000						3	0.090
2011-02-02	Sturle Sunde	v21	250000	25000000						3	0.090
2011-02-27	Sturle Sunde	v21	250000	25000000						3	0.090
2011-03-29	Sturle Sunde	v23	250000	25000000						3	0.090
2011-04-29	David Bessell	T413	250000	25000000						3	0.090
2011-05-19	Sturle Sunde	v21	250000	25000000						3	0.090
2011-06-02	ANONYMOUS	v23	250000	25000000						3	0.090
2011-07-06	David Bessell	T413	250000	25000000						3	0.090
2011-09-07	Sturle Sunde	v21	250000	25000000						3	0.090
2011-10-02	David Bessell	T413	250000	25000000						3	0.090
2011-11-02	Sturle Sunde	v21	250000	25000000						3	0.090
2011-12-08	Dmitry B. Khachaturov	dix-dubna	250000	25000000						3	0.090
2012-01-28	Sturle Sunde	001CC4F0E695	250000	25000000						3	0.090
2012-02-28	Sturle Sunde	v23	250000	25000000						3	0.090
2012-04-14	Sturle Sunde	v21	250000	25000000						3	0.090
2012-05-21	Sturle Sunde	v21	250000	25000000						3	0.090
2012-10-04	David Bessell	T413	250000	25000000						3	0.090
2013-01-23	Sturle Sunde	v23	250000	25000000						3	0.090
2013-09-11	lopper	lolz3	250000	25000000						3	0.090
2014-11-19	Chris Smith	starcraft2	250000	25000000						3	0.090
2015-10-29	Bruce	Desk8	250000	25000000						3	0.090
2015-11-14	Bruce	Desk8	250000	25000000						3	0.090
2015-11-21	Bruce	Desk8	250000	25000000						3	0.090
2015-11-25	Bruce	Desk7	250000	25000000						3	0.090
2015-11-30	XZT	Tablet	250000	25000000						3	0.090
2015-12-05	Bruce	Desk7	250000	25000000						3	0.090
2015-12-09	Bruce	Desk7	250000	25000000						3	0.090
2015-12-17	Bruce	Desk8	250000	25000000						3	0.090
2015-12-27	Bruce	Desk8	250000	25000000						3	0.090
2016-01-05	Bruce	Desk8	250000	25000000						3	0.090
2016-01-15	Bruce	Desk8	250000	25000000						3	0.090
2016-01-24	Bruce	Desk8	250000	25000000						3	0.090
2016-02-01	Bruce	Desk8	250000	25000000						3	0.090
2016-03-10	lettp	Home	250000	25000000						3	0.090
2016-03-16	lettp	Home	250000	25000000						3	0.090
2016-04-07	Larry Hanes	C500A6AD8	250000	25000000						3	0.090
2016-06-05	thelegendarymudkip	i5-4670k	250000	25000000						3	0.090
2016-07-11	WileECoyote	S107B	250000	25000000						3	0.090
2016-07-19	WileECoyote	S107B	250000	25000000						3	0.090
2016-07-24	WileECoyote	S107B	250000	25000000						3	0.090
2016-07-29	WileECoyote	S107B	250000	25000000						3	0.090
2016-08-03	WileECoyote	S107B	250000	25000000						3	0.090
2016-08-08	WileECoyote	S107B	250000	25000000						3	0.090
2016-08-19	WileECoyote	S107B	250000	25000000						3	0.090
2016-08-24	WileECoyote	S107B	250000	25000000						3	0.090
2016-08-29	WileECoyote	S107B	250000	25000000						3	0.090
2016-09-03	WileECoyote	S107B	250000	25000000						3	0.090
2016-09-08	WileECoyote	S107B	250000	25000000						3	0.090
2016-09-15	WileECoyote	S107B	250000	25000000						3	0.090
2016-09-20	WileECoyote	S107B	250000	25000000						3	0.090
2016-09-25	WileECoyote	S107B	250000	25000000						3	0.090
2016-09-30	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-05	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-10	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-16	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-21	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-26	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-31	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-05	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-11	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-16	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-20	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-25	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-30	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-05	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-09	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-15	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-21	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-25	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-29	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-01	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-05	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-09	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-14	Ducho_YYZ	Work	250000	25000000						3	0.090
2017-01-18	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-22	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-27	WileECoyote	S107B	250000	25000000						3	0.090
2017-02-07	WileECoyote	S107B	250000	25000000						3	0.090
2017-09-05	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2017-10-22	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2017-12-09	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2018-01-13	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2018-02-11	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2018-03-27	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2018-05-08	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2018-07-31	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2018-11-12	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2019-01-30	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2019-04-06	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2019-05-21	WileECoyote	ScoobyDoo	250000	25000000						3	0.090
2019-06-01	lycorn	supernova	250000	25000000						270	8.070

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Ken Kiefer		02A346BFE956DDED	0.001
2016-06-01	MadPoo	Manual testing	02A346BFE956DDED	0.001