M2701903 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	2⁶⁹	44.1862	68.1159%	1565197	54781904	0.5000	6.2645%	44.6862	70.1133%	1.9974%
PrimeNet	2⁵⁹	0.0284	62.7119%	12000	220000	0.0026	2.8434%	0.0310	63.7721%	1.0602%
GPU72	2⁶³	0.5907	65.0794%	14000	220000	0.0028	1.6615%	0.5935	65.6596%	0.5802%
Difference	+6	+43.5955	+3.0366%	+1551197	+54561904	+0.4972	+4.6030%	+44.0927	+4.4537%	+4.4537%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2701903	11337383518573953150953	23	73.264	2098036739026892 2² × 53 × 97 × 102024739303	2021-08-01	97	102024739303	1,328.9	622.52	1,162.7

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	-	-	0.194%
2003-11-28T00:00:00	Team Prime Rib	v4_computers	15000	217500		-		-	-	0.003	-	-	0.672%
2010-12-16T22:40:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.225%
2010-12-26T14:29:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.314%
2011-01-16T01:59:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.006	-	-	0.460%
2011-03-16T14:26:00	James Heinrich	WHS	300000	8000000		-		-	-	0.081	-	-	3.597%
2018-07-21T14:07:34	Jocelyn Larouche	low 4M	600000	6000000	6	-		-	-	0.100	-	-	3.692%
2021-01-13T13:24:45	GdS	Manual testing	1565197	54781904	12	-		-	-	0.500	-	-	6.264%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:19	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.057	-	-
2009-01-30T22:07:00	Sturle Sunde	ghini.ifi	2⁶⁰	2⁶¹		-	-	0.057	-	-
2012-05-03T10:04:00	Grant McCracken	thumper	2⁶¹	2⁶²		-	-	0.114	-	-
2013-01-23T08:17:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.363	-	-
2015-04-13T20:09:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.727	-	-
2015-04-13T20:09:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.383	-	-
2016-01-28T10:33:36	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.766	-	-
2017-09-29T00:40:42	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.531	-	-
2019-02-11T01:15:26	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	11.06	-	-
2021-06-21T08:53:36	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	22.13	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.312 GHz-days
Estimated T-Level:	21.929

Digits	B1	Curves	Complete	FacMiss
20	11000	108 / 100	1.080	33.775%
25	50000	108 / 280	0.386	67.950%

New Calculation Method

Total ECM effort:	11.312 GHz-days
Estimated T-Level:	21.929

Digits	B1	Complete	FacMiss
20	11000	3.502	3.015%
25	50000	0.317	72.848%
30	250000	0.020	98.067%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		100	10.36
50000	6742837		7	0.834
50000	6750000	11337383518573953150953	1	0.119

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-11T00:48:00	Matt	Dell	50000	5000000						3	0.311
2010-09-01T19:17:00	InsDel	fanfare	50000	5000000						3	0.311
2013-01-15T15:49:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.311
2015-02-16T05:59:00	driveByUpgrades	Refurb_1	50000	5000000						3	0.311
2016-02-01T22:45:19	Bruce	Desk8	50000	5000000						3	0.311
2016-04-27T19:40:38	Jason U	Server7	50000	5000000						3	0.311
2016-10-30T07:43:35	Charlie	deepthought05	50000	5000000						3	0.311
2017-07-13T14:07:58	AnthonyRais	Win10Test	50000	5000000						3	0.311
2017-11-27T21:42:18	Angel Pescador		50000	5000000						3	0.311
2018-08-31T18:20:47	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.311
2018-09-29T09:37:46	lycorn	asteroid	50000	5000000						70	7.251
2021-06-17T12:26:29	LaurV	Zero818	50000	6742837						7	0.834
2021-08-01T11:14:55	nordi	sweet16	50000	6750000	11337383518573953150953	73.264	1	2	62050626722934	1	0.119

date	userid	compid	res64	spent (GHz-days)
1999-07-12T00:00:00	LEE Sau Dan	v4_computers	E963ADD697387E__	0.209

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 = 1565197, B2 = 54781904 (P-1 stage 2)

B1 = 1565197 (P-1 stage 1)

B1 = 600000, B2 = 6000000 (P-1 stage 2)

B1 = 300000, B2 = 8000000 (P-1 stage 2)

B1 = 600000 (P-1 stage 1)

B1 = 300000 (P-1 stage 1)

B1 = 50000 (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)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

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