M2495551 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	23.8845	67.6471%	2382500	85770100	0.6965	7.5526%	24.5810	70.0905%	2.4435%
PrimeNet	2⁵⁹	0.0308	62.7119%	10000	180000	0.0019	2.5370%	0.0327	63.6579%	0.9460%
GPU72	2⁶³	0.6395	65.0794%	11000	160000	0.0019	1.3816%	0.6415	65.5618%	0.4825%
Difference	+5	+23.2449	+2.5677%	+2371500	+85610100	+0.6946	+6.1710%	+23.9395	+4.5287%	+4.5287%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2495551	77945793923345983739471	23	76.045	15616950710152985 5 × 6791 × 459930811667	2021-04-13	6791	459930811667	12,112	2,520.2	4,707.0

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-23T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.235%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	228750		-		-	-	0.003	-	-	0.786%
2010-12-22T11:37:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.263%
2011-01-25T04:27:00	Oscar Östlin		95000	1971250		-		-	-	0.020	-	-	2.387%
2014-09-10T00:51:00	Jocelyn Larouche	Manual testing	120719	120719		-		-	-	0.012	-	-	0.917%
2014-12-08T09:34:00	mikr	MSI	2382500	85770100		-		-	-	0.697	-	-	7.553%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:15	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-11T10:25:00	Sturle Sunde	ginglo.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-06-11T14:21:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.123	-	-
2013-01-14T11:53:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.393	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.787	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.497	-	-
2015-10-31T16:44:06	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.994	-	-
2017-07-24T22:21:29	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.989	-	-
2019-03-25T14:11:01	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.98	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.754 GHz-days
Estimated T-Level:	22.089

Digits	B1	Curves	Complete	FacMiss
20	11000	117 / 100	1.170	30.854%
25	50000	117 / 280	0.418	65.796%

New Calculation Method

Total ECM effort:	10.754 GHz-days
Estimated T-Level:	22.089

Digits	B1	Complete	FacMiss
20	11000	3.774	2.296%
25	50000	0.341	71.098%
30	250000	0.021	97.921%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		115	10.57
50000	5000000	77945793923345983739471	2	0.184

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-31T06:44:00	James Hintz	OMFG	50000	5000000						3	0.276
2010-04-08T14:16:00	James Hintz	terri_castor	50000	5000000						3	0.276
2012-07-10T20:28:00	soldake	Core2DuoM	50000	5000000						3	0.276
2014-02-19T23:35:00	Andy Incline	Office-PC	50000	5000000						3	0.276
2015-07-24T23:14:00	guru	w1	50000	5000000						3	0.276
2016-02-27T03:44:12	arnaud	CHAMOT09	50000	5000000						3	0.276
2016-06-25T17:49:10	lettp	Home	50000	5000000						3	0.276
2017-03-25T04:34:06	Ensigma	vps_sing	50000	5000000						3	0.276
2017-08-17T15:41:03	Bruce	eleven	50000	5000000						3	0.276
2018-01-01T13:00:52	Sebastian Hornbostel	V2	50000	5000000						3	0.276
2018-08-25T04:43:53	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2019-10-21T09:24:03	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2020-05-19T05:21:29	IanGlencross	glenx24	50000	5000000						3	0.276
2020-06-05T23:38:37	Oliver Kruse	Krusen-NAS	50000	5000000						3	0.276
2020-06-24T07:58:27	mnd9	25836b	50000	5000000						3	0.276
2020-07-02T12:03:39	GAN	LMS-02	50000	5000000						3	0.276
2020-07-09T04:20:28	Ahmed Azhad	c5.large.az	50000	5000000						3	0.276
2020-07-15T04:11:09	daveward2005	Dave2	50000	5000000						3	0.276
2020-07-23T02:03:29	Nesowa	6700T	50000	5000000						3	0.276
2020-07-30T13:23:22	mnd9	kitchen	50000	5000000						3	0.276
2020-08-04T14:11:44	mnd9	libproj	50000	5000000						3	0.276
2020-08-12T01:21:12	GAN	LMS-01	50000	5000000						3	0.276
2020-08-30T08:45:51	M. R. Mayer	nimbus	50000	5000000						7	0.643
2020-10-02T21:30:17	tottenhoff	4-of-4-Ryzen-5-3600	50000	5000000						7	0.643
2020-10-30T12:24:47	rextherunt	ice	50000	5000000						7	0.643
2020-12-12T00:15:51	TheJudger	Ananke	50000	5000000						7	0.643
2021-01-06T07:22:22	RIHATEC	i7-3770K	50000	5000000						7	0.643
2021-02-06T11:24:38	MarkS	laptop64	50000	5000000						7	0.643
2021-03-06T10:08:32	Zenzoma	AMD3970X	50000	5000000						7	0.643
2021-04-13T08:15:57	mnd9	office2	50000	5000000	77945793923345983739471	76.045	2	2	7711226433189605	2	0.184

date	userid	compid	res64	spent (GHz-days)
1999-06-15T00:00:00	ANONYMOUS	v4_computers	99EDEB450B6AEB23	0.173
2018-06-01T13:12:36	kkmrkkblmbrbk	old	99EDEB450B6AEB23	0.173

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 = 2382500, B2 = 85770100 (P-1 stage 2)

B1 = 2382500 (P-1 stage 1)

B1 = 95000, B2 = 1971250 (P-1 stage 2)

B1 = 120719 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

B1 = 15000, B2 = 228750 (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

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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