M2175479 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	54.8784	68.1159%	5000000	200000000	1.4896	8.2813%	56.3680	70.7564%	2.6404%
PrimeNet	2⁵⁸	0.0177	62.0690%	10000	180000	0.0018	2.8572%	0.0195	63.1527%	1.0838%
GPU72	2⁶²	0.2824	64.5161%	11000	160000	0.0018	1.5681%	0.2842	65.0725%	0.5564%
Difference	+7	+54.5960	+3.5998%	+4989000	+199840000	+1.4877	+6.7132%	+56.0837	+5.6838%	+5.6838%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-03-07T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.182%
2010-11-05T01:17:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.165%
2010-11-07T21:16:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.300%
2011-01-15T07:30:00	markr	tiny	90000	1620000		-		-	-	0.017	-	-	1.949%
2014-06-13T02:40:00	Jocelyn Larouche	Manual testing	119504	119504		-		-	-	0.011	-	-	0.773%
2014-10-05T22:22:00	Jocelyn Larouche	Manual testing	149008	149008		-		-	-	0.014	-	-	0.878%
2015-12-22T14:03:56	HBendtz	Manual testing	700000	21000000	12	-		-	-	0.172	-	-	4.735%
2019-11-18T04:41:25	mikr	MSI	5000000	200000000	12	-		-	-	1.490	-	-	8.281%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:07	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.053	-	-
2009-01-04T16:59:00	Sturle Sunde	antonov.ifi	2⁶⁰	2⁶¹		-	-	0.071	-	-
2009-01-06T19:17:00	Sturle Sunde	gonsha.ifi	2⁶¹	2⁶²		-	-	0.141	-	-
2013-09-09T08:39:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.451	-	-
2015-03-25T10:09:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.902	-	-
2015-03-25T10:09:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.717	-	-
2016-01-02T13:50:57	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.435	-	-
2016-11-17T17:00:11	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.870	-	-
2019-04-29T13:20:33	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.74	-	-
2021-07-15T09:28:28	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	27.48	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.774 GHz-days
Estimated T-Level:	23.679

Digits	B1	Curves	Complete	FacMiss
20	11000	206 / 100	2.060	12.614%
25	50000	206 / 280	0.736	47.853%

New Calculation Method

Total ECM effort:	17.774 GHz-days
Estimated T-Level:	23.679

Digits	B1	Complete	FacMiss
20	11000	7.968	0.035%
25	50000	0.737	47.854%
30	250000	0.047	95.455%
35	1000000	0.002	99.783%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	192	16.41
50000	6450000	7	0.670
50000	6900000	7	0.692

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-03T09:27:00	bayanne	MacBook	50000	5000000						3	0.256
2009-12-07T22:09:00	ANONYMOUS	fn-asterisk	50000	5000000						3	0.256
2011-08-27T20:30:00	S36049	Wolle5	50000	5000000						3	0.256
2013-05-12T21:35:00	ANONYMOUS		50000	5000000						3	0.256
2015-02-26T08:03:00	OS1	L3	50000	5000000						3	0.256
2015-11-23T00:48:26	lopper	i5-4670	50000	5000000						3	0.256
2016-03-04T15:55:29	arnaud	CHAMOT09	50000	5000000						3	0.256
2016-06-23T12:47:28	Bruce	test	50000	5000000						3	0.256
2016-10-21T05:27:12	Bruce	Desk6	50000	5000000						3	0.256
2017-04-04T14:00:02	Bruce	Desk6	50000	5000000						3	0.256
2017-10-30T20:47:52	Sebastian Hornbostel	V2	50000	5000000						3	0.256
2018-03-08T17:51:40	Bruce	Desk6	50000	5000000						3	0.256
2018-08-22T10:48:24	Bruce	Desk6	50000	5000000						3	0.256
2020-01-24T22:46:54	daveward2005	Davy	50000	5000000						3	0.256
2020-02-02T11:43:55	EricP	Cannonfodder	50000	5000000						3	0.256
2020-02-11T10:43:11	Keysarecool	i9	50000	5000000						3	0.256
2020-02-18T12:10:17	mnd9	libproj	50000	5000000						3	0.256
2020-02-27T05:38:25	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.256
2020-03-05T22:24:01	ANONYMOUS	UC	50000	5000000						3	0.256
2020-03-09T19:12:45	daveward2005	MW	50000	5000000						3	0.256
2020-03-17T08:33:29	mnd9	office2	50000	5000000						3	0.256
2020-03-27T12:46:23	Keysarecool	Boat_Anchor	50000	5000000						3	0.256
2020-04-09T04:04:12	mnd9	office	50000	5000000						3	0.256
2020-04-21T20:07:05	Keysarecool	Boat_Anchor	50000	5000000						3	0.256
2020-04-29T17:30:30	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.256
2020-05-10T08:07:41	mnd9	25836b	50000	5000000						3	0.256
2020-05-24T11:20:54	Sergey Nosov	TS140-02	50000	5000000						3	0.256
2020-06-12T07:38:48	mnd9	kitchen	50000	5000000						3	0.256
2020-06-27T07:12:55	GAN	LMS-16	50000	5000000						3	0.256
2020-07-04T15:38:23	daveward2005	MW	50000	5000000						3	0.256
2020-07-11T20:01:52	Brett Walker	brain	50000	5000000						3	0.256
2020-07-17T07:06:54	MarkS	desktop-i7	50000	5000000						3	0.256
2020-07-23T04:26:33	GAN	LMS-13	50000	5000000						3	0.256
2020-07-30T01:18:18	GAN	LMS-16	50000	5000000						3	0.256
2020-08-06T13:05:06	GAN	LMS-14	50000	5000000						3	0.256
2020-08-14T20:50:05	GAN	LMS-15	50000	5000000						3	0.256
2020-09-08T02:14:44	MarkS	desktop-i7	50000	5000000						7	0.598
2020-10-10T03:59:38	daveward2005	Dave2	50000	5000000						7	0.598
2020-11-07T08:05:08	GAN	XPS	50000	5000000						7	0.598
2020-12-12T21:44:06	daveward2005	Dave2	50000	5000000						7	0.598
2021-01-15T08:51:04	Brett Walker	brain	50000	5000000						7	0.598
2021-02-13T04:38:08	Zenzoma	AMD3970X	50000	5000000						7	0.598
2021-03-14T18:20:23	GAN	KL-SCH01	50000	5000000						7	0.598
2021-04-23T02:27:03	GAN	KL-SCH01	50000	5000000						7	0.598
2021-06-11T12:09:35	kutens	capella	50000	6450000						7	0.670
2021-07-27T16:06:27	daveward2005	d12436	50000	5000000						7	0.598
2021-09-23T13:16:09	daveward2005	Dave2	50000	5000000						7	0.598
2021-12-20T08:02:05	tottenhoff	Garage-Band-003	50000	5000000						7	0.598
2022-04-11T16:59:35	C.D.B.	i7-6850K	50000	5000000						7	0.598
2022-07-12T14:45:37	LordJulius	i79700_Para	50000	6900000						7	0.692

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)
1999-02-07T00:00:00	ANONYMOUS	v4_computers	B7A376C1BE7CAD62	0.143
2018-04-12T20:25:08	kkmrkkblmbrbk	old	B7A376C1BE7CAD62	0.143