M2470199 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	48.3308	68.1159%	6000000	180000000	1.5569	8.3521%	49.8877	70.7789%	2.6630%
PrimeNet	2⁵⁹	0.0311	62.7119%	10000	180000	0.0019	2.5322%	0.0330	63.6561%	0.9442%
GPU72	2⁶³	0.6461	65.0794%	11000	160000	0.0019	1.3787%	0.6480	65.5608%	0.4815%
Difference	+6	+47.6847	+3.0366%	+5989000	+179840000	+1.5550	+6.9733%	+49.2397	+5.2181%	+5.2181%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2470199	47717213610641822304491563111	29	95.268	9658576821268614857445 3² × 5 × 521 × 797 × 1277 × 404775001129	2021-09-20	1277	404775001129	4.967e+9	2,218.0	4,142.6

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.189%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	232500		-		-	-	0.003	-	-	0.673%
2010-11-19T22:14:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.220%
2010-12-02T22:33:00	Jocelyn Larouche	Manual testing	247019	247019		-		-	-	0.025	-	-	1.178%
2013-10-23T18:20:00	David Campeau	i5-2500k	590000	15930000		-		-	-	0.143	-	-	4.470%
2019-04-23T03:06:04	Sid & Andy	Bullseye	6000000	180000000	12	-		-	-	1.557	-	-	8.352%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-02T00:00:00	bezahar	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:14	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-14T21:28:00	Sturle Sunde	interavia.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-08-01T08:23:00	Grant McCracken	thumper	2⁶¹	2⁶²		-	-	0.124	-	-
2013-02-21T00:57:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.397	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.795	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.513	-	-
2015-10-27T09:37:28	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.025	-	-
2017-07-22T20:28:34	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.050	-	-
2019-06-10T09:46:17	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.10	-	-
2021-06-17T12:14:34	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	24.20	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.588 GHz-days
Estimated T-Level:	22.607

Digits	B1	Curves	Complete	FacMiss
20	11000	146 / 100	1.460	23.054%
25	50000	146 / 280	0.521	59.312%

New Calculation Method

Total ECM effort:	13.588 GHz-days
Estimated T-Level:	22.607

Digits	B1	Complete	FacMiss
20	11000	4.741	0.873%
25	50000	0.429	65.107%
30	250000	0.026	97.390%
35	1000000	0.001	99.879%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		125	11.47
50000	5000000	47717213610641822304491563111	7	0.642
50000	6750000		14	1.474

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-10T21:16:00	Martti Järvi	Mardeni	50000	5000000						3	0.275
2010-03-19T17:40:00	James Hintz	ryan	50000	5000000						3	0.275
2012-08-05T10:26:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.275
2014-01-28T02:17:00	Bruce	snowflake	50000	5000000						3	0.275
2015-07-15T13:36:00	guru	w1	50000	5000000						3	0.275
2016-02-23T23:08:05	Jason U	Server7	50000	5000000						3	0.275
2016-06-20T17:02:10	Jason U	Server7	50000	5000000						3	0.275
2017-02-19T17:35:05	enderhirodantezeus	alien	50000	5000000						3	0.275
2017-08-02T08:00:54	AnthonyRais	Win10Test	50000	5000000						3	0.275
2017-12-15T21:11:39	Sebastian Hornbostel	V2	50000	5000000						3	0.275
2018-07-10T01:56:22	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.275
2019-09-03T05:55:47	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.275
2020-05-06T05:44:33	mnd9	libproj	50000	5000000						3	0.275
2020-05-17T16:18:56	Summy	CHB	50000	5000000						3	0.275
2020-06-09T23:05:18	Nesowa	6700T	50000	5000000						3	0.275
2020-06-24T21:58:51	Nesowa	entropy_generator_2	50000	5000000						3	0.275
2020-07-02T09:17:23	GAN	LMS-11	50000	5000000						3	0.275
2020-07-10T14:56:51	pavlp	puputer	50000	5000000						3	0.275
2020-07-15T19:34:27	mnd9	75203b	50000	5000000						3	0.275
2020-07-22T23:25:27	Nesowa	6700T	50000	5000000						3	0.275
2020-07-27T22:08:43	mnd9	50871b	50000	5000000						3	0.275
2020-08-03T23:37:55	GAN	OSB-02	50000	5000000						3	0.275
2020-08-11T22:21:58	GAN	LMS-07	50000	5000000						3	0.275
2020-08-30T20:08:38	Sergey Nosov	TS140-02	50000	5000000						7	0.642
2020-10-03T02:32:35	daveward2005	Davy	50000	5000000						7	0.642
2020-10-29T16:57:39	Albrecht Heeffer	Ryzen5-factoring	50000	5000000						7	0.642
2020-12-03T19:14:22	lycorn	colab_S	50000	5000000						7	0.642
2021-01-05T14:51:31	Zenzoma	AMD3970X	50000	5000000						7	0.642
2021-02-05T03:00:01	Zenzoma	AMD3970X	50000	5000000						7	0.642
2021-03-10T01:30:10	lycorn	colab_S_2	50000	6750000						7	0.737
2021-04-16T13:59:48	Zenzoma	AM3700X_1	50000	5000000						7	0.642
2021-06-09T12:25:34	C.D.B.	i7-6850K	50000	5000000						7	0.642
2021-07-19T18:13:16	kutens	canopus	50000	6750000						7	0.737
2021-09-20T02:37:29	mnd9	27016b	50000	5000000	47717213610641822304491563111	95.268	7	2	7707813937471804	7	0.642

date	userid	compid	res64	spent (GHz-days)
1999-05-02T00:00:00	bezahar	v4_computers	4E42E1DE8B77A3CA	0.171
2018-05-28T23:26:37	kkmrkkblmbrbk	old	4E42E1DE8B77A3CA	0.171

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 = 590000, B2 = 15930000 (P-1 stage 2)

B1 = 590000 (P-1 stage 1)

B1 = 247019 (P-1 stage 1)

B1 = 15000, B2 = 232500 (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

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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