M1952311 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	30.5304	69.1176%	1952311	244038875	1.1911	8.4429%	31.7215	71.7250%	2.6074%
PrimeNet	2⁵⁸	0.0197	63.7931%	8000	140000	0.0012	2.4673%	0.0209	64.6864%	0.8933%
GPU72	2⁶²	0.3147	66.1290%	8000	90000	0.0010	1.1534%	0.3157	66.5197%	0.3907%
Difference	+6	+30.2157	+2.9886%	+1944311	+243948875	+1.1901	+7.2895%	+31.4059	+5.2053%	+5.2053%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1952311	2695175807691858140095513	25	81.157	690252681998886996 2² × 3 × 11 × 23 × 229 × 992820767959	2020-03-18	229	992820767959	379,856	4,255.0	7,947.1

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-09T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.219%
2003-02-24T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.002	-	-	0.451%
2011-05-08T03:24:00	kurly	kk	1000000	30000000		-		-	-	0.203	-	-	5.697%
2018-01-23T13:04:01	Jocelyn Larouche	low 4M	1952311	30000000	12	-		-	-	0.274	-	-	6.050%
2018-02-12T15:08:33	Jocelyn Larouche	low 4M	1952311	60000000	12	-		-	-	0.402	-	-	6.834%
2018-03-02T23:08:39	Jocelyn Larouche	low 4M	1952311	120000000	12	-		-	-	0.659	-	-	7.626%
2018-05-10T11:54:30	Jocelyn Larouche	low 4M	1952311	195231100	12	-		-	-	0.982	-	-	8.185%
2018-11-26T12:54:02	Jocelyn Larouche	Manual testing	1952311	244038875	12	-		-	-	1.191	-	-	8.443%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1997-12-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.010	-	-
1998-02-19T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.010	-	-
1998-02-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.010	-	-
1998-03-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.010	-	-
1998-03-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.010	-	-
1998-12-27T00:00:00	garyfu	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2003-03-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.039	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.039	-	-
2010-01-18T00:15:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.079	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.157	-	-
2011-08-27T22:19:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.818	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.503	-	-
2015-04-23T21:39:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.006	-	-
2015-04-23T21:40:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.914	-	-
2015-09-06T20:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.828	-	-
2018-02-12T20:05:02	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.655	-	-
2019-05-23T07:38:42	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.31	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.665 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	19.665 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.639	0.018%
25	50000	0.771	46.260%
30	250000	0.048	95.341%
35	1000000	0.002	99.781%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		93	6.472
50000	5000000	2695175807691858140095513	1	0.070
50000	7500000		157	13.12

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-16T02:28:00	Smurgs	Praca	50000	5000000						3	0.209
2009-08-15T01:51:00	SubPrime	abd0	50000	5000000						3	0.209
2011-01-15T05:12:00	Lupo	yorick	50000	5000000						3	0.209
2012-12-01T01:08:00	Donna Noble	PH2-940-v3-MVB	50000	5000000						3	0.209
2014-01-07T06:10:00	OS1	L3	50000	5000000						3	0.209
2015-05-12T06:24:00	OS1	L3	50000	5000000						3	0.209
2016-02-08T08:04:28	James P McMillan	caturday	50000	5000000						3	0.209
2016-03-18T12:59:40	Bruce	Desk6	50000	5000000						3	0.209
2016-07-01T21:28:17	lettp	Home	50000	5000000						3	0.209
2016-10-08T02:34:00	Bruce	Desk6	50000	5000000						3	0.209
2017-06-05T08:21:24	Bruce	Desk6	50000	5000000						3	0.209
2017-10-04T10:05:26	Bruce	Desk6	50000	5000000						3	0.209
2018-01-12T13:23:09	Bruce	Desk6	50000	5000000						3	0.209
2018-06-11T07:02:10	Bruce	Desk6	50000	5000000						3	0.209
2019-04-27T12:44:58	zar	eng1	50000	5000000						3	0.209
2019-12-09T15:44:18	nokno	leo231	50000	5000000						3	0.209
2019-12-10T12:35:07	IanGlencross	glenx24	50000	5000000						3	0.209
2019-12-15T05:20:09	Keysarecool	Boat_Anchor	50000	5000000						3	0.209
2019-12-20T12:09:50	J.R. Allen	lapacer	50000	5000000						3	0.209
2019-12-29T15:23:36	Bommer	6600K	50000	5000000						3	0.209
2020-01-01T02:31:12	cappy95833	HomePC	50000	5000000						3	0.209
2020-01-05T20:48:23	TheJudger	myECM	50000	5000000						3	0.209
2020-01-14T03:54:35	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2020-01-21T00:07:13	mnd9	kitchen	50000	5000000						3	0.209
2020-01-26T13:45:24	IanGlencross	glenx24	50000	5000000						3	0.209
2020-02-04T21:45:04	Nesowa	6700T	50000	5000000						3	0.209
2020-02-12T22:32:32	Nesowa	6700T	50000	5000000						3	0.209
2020-02-21T11:12:45	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.209
2020-02-26T22:13:22	mnd9	libproj	50000	5000000						3	0.209
2020-03-05T03:37:19	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-03-11T00:56:35	Keysarecool	HPLaptop	50000	5000000						3	0.209
2020-03-18T22:19:12	mnd9	25836b	50000	5000000	2695175807691858140095513	81.157	1	2	6548599691524934	1	0.070
2022-05-12T09:17:49	TJAOI	Manual testing	50000	7500000						157	13.12

date	userid	compid	res64	spent (GHz-days)
1999-01-02T00:00:00	garyfu	v4_computers	80627B0D25849DE5	0.106
2015-06-27T00:56:00	MadPoo	Manual testing	80627B0D25849DE5	0.106

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 1952311, B2 = 244038875 (P-1 stage 2)

B1 = 1952311, B2 = 195231100 (P-1 stage 2)

B1 = 1952311, B2 = 120000000 (P-1 stage 2)

B1 = 1952311, B2 = 60000000 (P-1 stage 2)

B1 = 1952311, B2 = 30000000 (P-1 stage 2)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1952311 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

B1 = 4096, B2 = 409600 (P-1 stage 2)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 4096 (P-1 stage 1)

B1 = 2048 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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