M2692891 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	22.1342	67.6471%	2000000	50000000	0.5169	6.8695%	22.6510	69.8695%	2.2225%
PrimeNet	2⁵⁹	0.0285	62.7119%	12000	220000	0.0026	2.8417%	0.0311	63.7715%	1.0596%
GPU72	2⁶³	0.5927	65.0794%	14000	220000	0.0028	1.6604%	0.5955	65.6592%	0.5798%
Difference	+5	+21.5415	+2.5677%	+1986000	+49780000	+0.5140	+5.2091%	+22.0555	+4.2104%	+4.2104%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2692891	1329286448844516402962639	25	80.137	246814009338758309 7 × 31 × 73 × 99089 × 157239541	2021-05-20	99089	157239541	180,070	0.9699	1.7919

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-11-08T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.240%
2003-11-28T00:00:00	Team Prime Rib	v4_computers	15000	217500		-		-	-	0.003	-	-	0.786%
2010-12-22T11:37:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.268%
2010-12-26T02:29:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.371%
2011-01-31T12:45:00	markr	tiny	105000	2310000		-		-	-	0.025	-	-	2.558%
2016-07-14T05:43:48	Jocelyn Larouche	Manual testing	167500	4620000	6	-		-	-	0.046	-	-	3.251%
2016-12-21T00:33:42	Jocelyn Larouche	low 4M	201000	201000		-		-	-	0.023	-	-	1.225%
2017-04-22T17:25:07	Jocelyn Larouche	low 4M	335000	3350000	6	-		-	-	0.056	-	-	3.343%
2018-07-14T22:01:45	Jocelyn Larouche	low 4M	670000	6700000	6	-		-	-	0.112	-	-	4.224%
2019-11-14T14:05:43	masser	Manual testing	2000000	50000000	12	-		-	-	0.517	-	-	6.870%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-11-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
1999-10-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2016-02-23T16:29:19	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.029	-	-
2009-01-31T03:45:00	Sturle Sunde	gnom.ifi	2⁶⁰	2⁶¹		-	-	0.057	-	-
2012-05-04T04:57:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.114	-	-
2013-01-10T10:18:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.365	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.729	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.387	-	-
2016-01-27T13:46:24	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.775	-	-
2017-09-15T16:43:52	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.550	-	-
2019-03-25T14:10:59	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.10	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.457 GHz-days
Estimated T-Level:	21.804

Digits	B1	Curves	Complete	FacMiss
20	11000	101 / 100	1.010	36.237%
25	50000	101 / 280	0.361	69.673%

New Calculation Method

Total ECM effort:	10.457 GHz-days
Estimated T-Level:	21.804

Digits	B1	Complete	FacMiss
20	11000	3.885	2.056%
25	50000	0.359	69.807%
30	250000	0.023	97.758%
35	1000000	0.001	99.894%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		98	10.15
50000	5000000	1329286448844516402962639	3	0.311

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-05-08T07:22:00	wuxiao	DNE_Black_Sheep	50000	5000000						3	0.311
2010-08-04T02:42:00	James Classen	towerofart	50000	5000000						3	0.311
2013-01-01T21:55:00	MadPoo	IntLAVH03	50000	5000000						3	0.311
2015-01-08T19:36:00	arnaud	srv-630	50000	5000000						3	0.311
2016-04-12T13:34:54	Jason U	Server7	50000	5000000						3	0.311
2016-04-25T12:35:53	Jason U	Server7	50000	5000000						3	0.311
2016-10-27T18:56:42	Marius Zens	KBWR_TV3	50000	5000000						3	0.311
2017-07-11T04:05:17	Bruce	eleven	50000	5000000						3	0.311
2017-11-21T07:41:47	Sebastian Hornbostel	V2	50000	5000000						3	0.311
2018-06-23T00:51:13	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.311
2019-09-21T15:04:45	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.311
2020-07-25T01:09:25	lycorn	colab_ES	50000	5000000						3	0.311
2020-08-01T00:42:15	GAN	OSB-02	50000	5000000						3	0.311
2020-08-10T19:29:23	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.311
2020-08-19T03:38:43	M. R. Mayer	nimbus	50000	5000000						7	0.725
2020-09-21T07:10:01	GAN	KA-HP	50000	5000000						7	0.725
2020-10-19T21:30:23	daveward2005	Dave2	50000	5000000						7	0.725
2020-11-22T10:59:42	Zenzoma	i7-6820HQ	50000	5000000						7	0.725
2020-12-30T15:45:31	daveward2005	MW	50000	5000000						7	0.725
2021-01-29T03:32:34	Zenzoma	AMD3970X	50000	5000000						7	0.725
2021-03-02T02:42:22	Claude Portenier	Petit-Idiot	50000	5000000						7	0.725
2021-04-03T12:01:05	RIHATEC	i7-3770K	50000	5000000						7	0.725
2021-05-20T03:05:29	kutens	canopus	50000	5000000	1329286448844516402962639	80.137	3	2	8518314111194887	3	0.311

date	userid	compid	res64	spent (GHz-days)
1998-11-07T00:00:00	ANONYMOUS	v4_computers	7DB17F97C6240DE5	0.208
1999-07-04T00:00:00	ANONYMOUS	v4_computers	7DB17F97C6240DE5	0.208
1999-10-29T00:00:00	ANONYMOUS	v4_computers	7DB17F97C6240DE5	0.208
2018-07-29T09:39:12	kkmrkkblmbrbk	old	7DB17F97C6240DE5	0.208

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 = 2000000, B2 = 50000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 670000, B2 = 6700000 (P-1 stage 2)

B1 = 670000 (P-1 stage 1)

B1 = 335000, B2 = 3350000 (P-1 stage 2)

B1 = 167500, B2 = 4620000 (P-1 stage 2)

B1 = 335000 (P-1 stage 1)

B1 = 105000, B2 = 2310000 (P-1 stage 2)

B1 = 201000 (P-1 stage 1)

B1 = 167500 (P-1 stage 1)

B1 = 105000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000, B2 = 217500 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10²

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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