M2898739 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	41.1858	68.1159%	5000000	200000000	1.7498	8.5086%	42.9356	70.8288%	2.7129%
PrimeNet	2⁵⁹	0.0265	62.7119%	13000	240000	0.0028	3.0019%	0.0293	63.8312%	1.1193%
GPU72	2⁶³	0.5506	65.0794%	16000	300000	0.0035	1.9088%	0.5541	65.7459%	0.6666%
Difference	+6	+40.6352	+3.0366%	+4984000	+199700000	+1.7463	+6.5998%	+42.3814	+5.0829%	+5.0829%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2898739	1453456821250226739407	22	70.300	250705017121277 17957 × 13961408761	2021-07-17	17957	13961408761	87.022	85.190	159.11

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-12-02T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.198%
2009-07-03T21:39:00	Carsten Kossendey	leela	15000	168750		-		-	-	0.003	-	-	0.627%
2010-12-24T09:09:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.229%
2011-02-23T06:23:00	Carsten Kossendey	mother	200000	5000000		-		-	-	0.052	-	-	3.085%
2017-08-19T15:19:07	Jocelyn Larouche	low 4M	400000	4000000	6	-		-	-	0.067	-	-	3.239%
2019-11-04T17:20:46	masser	Manual testing	2900000	29000000	12	-		-	-	0.484	-	-	5.913%
2020-02-16T15:25:03	masser	Manual testing	5000000	200000000	12	-		-	-	1.750	-	-	8.509%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:24	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.053	-	-
2009-02-13T08:30:00	Sturle Sunde	duma.ifi	2⁶⁰	2⁶¹		-	-	0.053	-	-
2012-01-12T04:01:00	Grant McCracken	thumper	2⁶¹	2⁶²		-	-	0.106	-	-
2013-01-10T10:25:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.339	-	-
2015-04-22T10:47:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.677	-	-
2015-04-22T10:47:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.289	-	-
2016-02-19T16:47:49	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.578	-	-
2017-11-16T23:15:02	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.156	-	-
2019-01-14T01:17:51	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	10.31	-	-
2021-04-15T09:05:07	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	20.62	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.104 GHz-days
Estimated T-Level:	4.300

Digits	B1	Curves	Complete	FacMiss
20	11000	86 / 100	0.860	42.133%
25	50000	86 / 280	0.307	73.514%

New Calculation Method

Total ECM effort:	9.104 GHz-days
Estimated T-Level:	4.300

Digits	B1	Complete	FacMiss
20	11000	2.790	6.144%
25	50000	0.252	77.709%
30	250000	0.016	98.458%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		77	8.068
50000	5000000	1453456821250226739407	2	0.210
50000	6450000		7	0.826

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-27T13:13:00	Aca Arsov	backo6400	50000	5000000						3	0.314
2011-03-10T06:19:00	Smurgs	Praca	50000	5000000						3	0.314
2013-05-19T08:31:00	Bruce	yoyodyne	50000	5000000						3	0.314
2015-12-20T12:30:27	Bruce	Desk7	50000	5000000						3	0.314
2016-09-16T14:59:31	Bruce	test	50000	5000000						3	0.314
2019-06-29T17:06:57	furkell	furkell1	50000	5000000						3	0.314
2020-08-12T21:04:21	GAN	KL-SCH07	50000	5000000						3	0.314
2020-08-30T14:37:57	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						7	0.733
2020-10-01T16:23:19	daveward2005	Dave2	50000	5000000						7	0.733
2020-10-28T19:33:03	nordi	sweet16	50000	5000000						7	0.733
2020-12-02T12:08:52	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.733
2021-01-04T16:30:50	Zenzoma	AMD3970X	50000	5000000						7	0.733
2021-02-04T12:07:33	RIHATEC	i7-3770K	50000	5000000						7	0.733
2021-03-05T19:33:14	GAN	KL-SCH01	50000	5000000						7	0.733
2021-04-10T16:35:17	Zenzoma	AMD3970X	50000	5000000						7	0.733
2021-06-05T07:09:29	Dylan Delgado	colab	50000	6450000						7	0.826
2021-07-17T15:44:39	daveward2005	Dave2	50000	5000000	1453456821250226739407	70.300	2	2	1762798453173821	2	0.210

date	userid	compid	res64	spent (GHz-days)
1999-08-16T00:00:00	ANONYMOUS	v4_computers	6BBD6F3B00C3EFBD	0.224
2018-09-29T21:41:13	kkmrkkblmbrbk	old	6BBD6F3B00C3EFBD	0.224

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 = 5000000, B2 = 200000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 2900000, B2 = 29000000 (P-1 stage 2)

B1 = 2900000 (P-1 stage 1)

B1 = 400000, B2 = 4000000 (P-1 stage 2)

B1 = 200000, B2 = 5000000 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

B1 = 200000 (P-1 stage 1)

B1 = 15000, B2 = 168750 (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

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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