M1935757 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	30.7915	69.1176%	8000000	320000000	1.9665	9.7466%	32.7580	72.1276%	3.0100%
PrimeNet	2⁵⁸	0.0198	63.7931%	8000	140000	0.0012	2.4633%	0.0210	64.6850%	0.8919%
GPU72	2⁶²	0.3174	66.1290%	8000	90000	0.0010	1.1513%	0.3184	66.5190%	0.3900%
Difference	+6	+30.4741	+2.9886%	+7992000	+319910000	+1.9655	+8.5954%	+32.4396	+5.6087%	+5.6087%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2011-11-20T04:38:00	kurly	Manual testing	1000000	30000000		-		-	-	0.203	-	-	5.691%
2018-01-19T13:04:08	Jocelyn Larouche	low 4M	1935757	30000000	12	-		-	-	0.273	-	-	6.041%
2018-02-04T11:56:59	mikr	S061	8000000	320000000	12	-		-	-	1.966	-	-	9.747%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-21T00:00:00	ari.orn	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.060	-	-
2010-02-02T05:36:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.079	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.159	-	-
2011-08-27T22:21:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.824	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.507	-	-
2015-05-13T08:02:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.014	-	-
2015-05-13T08:02:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.930	-	-
2015-09-04T17:59:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.860	-	-
2018-01-15T16:18:56	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.721	-	-
2019-05-10T08:32:10	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.44	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.048 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	18.048 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	9.804	0.006%
25	50000	0.910	40.242%
30	250000	0.058	94.407%
35	1000000	0.003	99.731%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	197	13.69
50000	5450000	7	0.504
50000	5600000	7	0.510
50000	7500000	40	3.339

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-26T02:54:00	Matt	Dell	50000	5000000						3	0.209
2009-08-09T04:55:00	SubPrime	stor	50000	5000000						3	0.209
2010-12-30T01:51:00	Lupo	yorick	50000	5000000						3	0.209
2012-11-18T16:38:00	Donna Noble	PH2x6	50000	5000000						3	0.209
2013-12-13T20:58:00	arnaud	srv-630	50000	5000000						3	0.209
2015-03-31T03:02:00	arnaud	CHAMOT22	50000	5000000						3	0.209
2015-10-10T07:06:18	Chris Smith	starcraft2	50000	5000000						3	0.209
2016-03-13T01:05:37	Bruce	Desk6	50000	5000000						3	0.209
2016-06-21T20:23:41	Jason U	Server7	50000	5000000						3	0.209
2016-09-21T07:01:38	Bruce	Desk6	50000	5000000						3	0.209
2017-02-27T21:18:49	Bruce	Desk6	50000	5000000						3	0.209
2017-09-30T05:44:37	Bruce	Desk6	50000	5000000						3	0.209
2017-12-29T11:46:30	Sebastian Hornbostel	V2	50000	5000000						3	0.209
2018-05-12T05:30:48	Bruce	Desk6	50000	5000000						3	0.209
2019-04-09T14:42:53	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2019-12-02T18:06:15	Alvin Bunk	i7-Core	50000	5000000						3	0.209
2019-12-06T16:42:51	IanGlencross	glenx24	50000	5000000						3	0.209
2019-12-11T00:58:59	Dylan Delgado	colab	50000	5000000						3	0.209
2019-12-16T01:08:40	mat10243x	B2	50000	5000000						3	0.209
2019-12-21T10:16:48	Keysarecool	HPLaptop	50000	5000000						3	0.209
2019-12-27T23:39:57	IanGlencross	glenx24	50000	5000000						3	0.209
2020-01-01T07:15:45	TheJudger	myECM	50000	5000000						3	0.209
2020-01-07T05:41:05	Nesowa	6700T	50000	5000000						3	0.209
2020-01-16T02:54:20	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.209
2020-01-21T03:18:37	EricP	Cannonfodder	50000	5000000						3	0.209
2020-02-01T23:35:05	S04803	lfmcal	50000	5000000						3	0.209
2020-02-05T13:16:00	EricP	Cannonfodder	50000	5000000						3	0.209
2020-02-13T13:24:27	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-02-20T22:28:42	Keysarecool	Boat_Anchor	50000	5000000						3	0.209
2020-03-01T21:02:09	Nesowa	entropy_generator_2	50000	5000000						3	0.209
2020-03-05T09:48:58	Keysarecool	Boat_Anchor	50000	5000000						3	0.209
2020-03-12T00:08:10	mnd9	l2lounge	50000	5000000						3	0.209
2020-03-19T19:39:52	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-04-01T01:34:18	cappy95833	HomePC	50000	5000000						3	0.209
2020-04-13T15:19:26	EricP	Cannonfodder	50000	5000000						3	0.209
2020-04-24T15:13:42	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2020-05-01T15:06:44	mnd9	221Rb	50000	5000000						3	0.209
2020-05-14T04:02:12	mnd9	50871b	50000	5000000						3	0.209
2020-05-29T20:14:48	daveward2005	MW	50000	5000000						3	0.209
2020-06-29T07:12:23	Palantsevich	OfficeB01	50000	5000000						3	0.209
2020-06-29T20:23:33	GAN	LMS-02	50000	5000000						3	0.209
2020-07-06T20:11:07	GAN	OSB-02	50000	5000000						3	0.209
2020-07-13T14:21:36	GAN	AC-GR	50000	5000000						3	0.209
2020-07-19T06:37:22	GAN	OSB-01	50000	5000000						3	0.209
2020-07-25T10:27:18	GAN	LMS-13	50000	5000000						3	0.209
2020-08-01T15:02:03	GAN	LMS-15	50000	5000000						3	0.209
2020-08-09T08:58:17	GAN	LMS-07	50000	5000000						3	0.209
2020-08-20T16:08:42	M. R. Mayer	nimbus	50000	5000000						7	0.487
2020-09-23T16:20:43	GAN	XPS	50000	5000000						7	0.487
2020-10-20T23:39:37	J.R. Allen	lapasus	50000	5000000						7	0.487
2020-11-24T15:59:43	RIHATEC	i7-3770K	50000	5000000						7	0.487
2020-12-30T06:04:08	mnd9	75211backdoor	50000	5000000						7	0.487
2021-01-31T00:19:26	mnd9	office2	50000	5000000						7	0.487
2021-02-28T08:12:52	Zenzoma	AMD3970X	50000	5000000						7	0.487
2021-05-22T20:23:19	kutens	vega	50000	5450000						7	0.504
2021-06-04T12:59:46	LordJulius	Ev	50000	5600000						7	0.510
2021-09-03T18:12:44	mnd9	kitchen	50000	5000000						7	0.487
2022-03-17T11:24:21	TJAOI	Manual testing	50000	7500000						40	3.339

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

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	ari.orn	v4_computers	A76A5D6A46B9F7D7	0.105
2015-07-12T18:10:00	MadPoo	Manual testing	A76A5D6A46B9F7D7	0.105