M2335877 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	51.1101	68.1159%	6000000	180000000	1.5164	8.3084%	52.6264	70.7650%	2.6490%
PrimeNet	2⁵⁸	0.0164	62.0690%	10000	190000	0.0019	2.9363%	0.0184	63.1827%	1.1138%
GPU72	2⁶²	0.2630	64.5161%	13000	200000	0.0023	1.7844%	0.2653	65.1493%	0.6332%
Difference	+7	+50.8470	+3.5998%	+5987000	+179800000	+1.5141	+6.5240%	+52.3611	+5.6157%	+5.6157%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2335877	257826571304083431905159	24	77.771	55188387767010727 17 × 3246375751000631	2021-06-13	17	3246375751000631	25,546	17,325,547	32,359,296

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2003-09-21T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.185%
2010-03-02T08:50:00	Bud	annan	500000	10000000		-		-	-	0.100	-	-	3.964%
2018-02-22T01:21:01	Sid & Andy	Hand_In_The_Box	6000000	180000000	12	-		-	-	1.516	-	-	8.308%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:12	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.066	-	-
2009-01-14T20:10:00	Sturle Sunde	ginglo.ifi	2⁶⁰	2⁶¹		-	-	0.066	-	-
2012-05-27T18:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.132	-	-
2013-01-23T08:26:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.420	-	-
2015-03-03T21:35:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.841	-	-
2015-03-03T21:35:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.600	-	-
2015-10-25T20:35:18	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.199	-	-
2017-06-07T04:04:54	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.398	-	-
2019-03-25T14:11:03	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.80	-	-
2021-06-10T09:22:33	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	25.59	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.861 GHz-days
Estimated T-Level:	22.589

Digits	B1	Curves	Complete	FacMiss
20	11000	145 / 100	1.450	23.286%
25	50000	145 / 280	0.518	59.524%

New Calculation Method

Total ECM effort:	12.861 GHz-days
Estimated T-Level:	22.589

Digits	B1	Complete	FacMiss
20	11000	5.577	0.378%
25	50000	0.516	59.685%
30	250000	0.033	96.797%
35	1000000	0.002	99.848%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		143	12.68
50000	5200000	257826571304083431905159	2	0.180

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-28T12:11:00	Stun	Stun1	50000	5000000						3	0.266
2010-01-22T20:24:00	James Hintz	17_012210	50000	5000000						3	0.266
2011-12-19T20:50:00	Dmitry B. Khachaturov	dix-home	50000	5000000						3	0.266
2013-10-18T22:27:00	arnaud	srv-630	50000	5000000						3	0.266
2015-05-22T13:07:00	Jayder	HPJared	50000	5000000						3	0.266
2016-02-17T02:38:38	Sintax	cloud	50000	5000000						3	0.266
2016-05-03T20:05:53	Bruce	Desk6	50000	5000000						3	0.266
2016-08-22T12:05:33	Bruce	Desk6	50000	5000000						3	0.266
2017-02-13T21:01:19	Bruce	Desk6	50000	5000000						3	0.266
2017-09-17T00:59:28	Bruce	Desk6	50000	5000000						3	0.266
2018-02-16T03:32:43	Bruce	Desk6	50000	5000000						3	0.266
2018-08-09T08:49:48	Bruce	Desk6	50000	5000000						3	0.266
2020-03-12T07:58:02	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.266
2020-03-17T20:46:22	MarkS	laptop64	50000	5000000						3	0.266
2020-03-31T08:01:29	Claude Portenier	Petit-Idiot	50000	5000000						3	0.266
2020-04-09T14:10:03	EricP	Cannonfodder	50000	5000000						3	0.266
2020-04-22T08:57:42	mnd9	fb	50000	5000000						3	0.266
2020-04-29T20:43:43	mnd9	221Rb	50000	5000000						3	0.266
2020-05-10T19:18:25	EricP	Cannonfodder	50000	5000000						3	0.266
2020-05-25T13:52:20	mnd9	75203	50000	5000000						3	0.266
2020-06-13T03:55:33	Travis Glenn Russo	ROG-4900HS	50000	5000000						3	0.266
2020-06-28T01:13:45	GAN	OSB-02	50000	5000000						3	0.266
2020-07-05T14:23:19	mnd9	25836b	50000	5000000						3	0.266
2020-07-11T18:14:50	GAN	LMS-13	50000	5000000						3	0.266
2020-07-17T12:57:02	GAN	GAN-HP	50000	5000000						3	0.266
2020-07-30T17:19:28	GAN	LMS-15	50000	5000000						3	0.266
2020-08-04T13:21:49	mnd9	25836b	50000	5000000						3	0.266
2020-08-07T07:23:10	GAN	LMS-08	50000	5000000						3	0.266
2020-08-15T17:03:39	Brian Schroeder	i5-6600k	50000	5000000						3	0.266
2020-09-10T20:57:03	GAN	OSB-02	50000	5000000						7	0.621
2020-10-12T15:11:24	GAN	AC-GR	50000	5000000						7	0.621
2020-11-10T10:18:48	rextherunt	ice	50000	5000000						7	0.621
2021-01-16T09:38:56	Zenzoma	AMD3970X	50000	5000000						7	0.621
2021-02-13T14:41:15	-Anonymous-		50000	5000000						7	0.621
2021-02-16T14:57:19	mnd9	libproj	50000	5000000						7	0.621
2021-03-16T08:17:32	C.D.B.	i7-6850K	50000	5000000						7	0.621
2021-04-27T00:29:51	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.621
2021-06-13T17:14:51	kutens	arcturus	50000	5200000	257826571304083431905159	77.771	2	2	519660519257648	2	0.180

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	ANONYMOUS	v4_computers	D12DADDF40FD2117	0.158
2018-05-07T10:28:29	kkmrkkblmbrbk	old	D12DADDF40FD2117	0.158

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 = 6000000, B2 = 180000000 (P-1 stage 2)

B1 = 6000000 (P-1 stage 1)

B1 = 500000, B2 = 10000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

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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