M2385023 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	50.0569	68.1159%	3000000	100000000	0.8115	7.2246%	50.8684	70.4194%	2.3035%
PrimeNet	2⁵⁹	0.0322	62.7119%	10000	170000	0.0018	2.4767%	0.0340	63.6354%	0.9235%
GPU72	2⁶³	0.6692	65.0794%	10000	140000	0.0017	1.2732%	0.6709	65.5240%	0.4446%
Difference	+6	+49.3877	+3.0366%	+2990000	+99860000	+0.8099	+5.9514%	+50.1976	+4.8955%	+4.8955%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-21T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.187%
2010-11-08T01:30:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.169%
2010-11-15T22:51:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.218%
2010-12-26T16:49:00	markr	tiny	100000	2075000		-		-	-	0.020	-	-	2.150%
2014-09-15T22:12:00	ANONYMOUS	Manual testing	126911	126911		-		-	-	0.012	-	-	0.814%
2015-10-30T13:11:55	mikr	MSI	3000000	100000000	12	-		-	-	0.812	-	-	7.225%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23T16:29:13	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-15T17:37:00	Sturle Sunde	goldiek.ifi	2⁶⁰	2⁶¹		-	-	0.064	-	-
2012-06-01T12:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.129	-	-
2013-12-04T21:14:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.412	-	-
2015-03-09T12:36:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.823	-	-
2015-03-09T12:36:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.567	-	-
2015-11-01T21:51:05	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.133	-	-
2017-06-22T00:32:49	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.266	-	-
2019-03-18T11:45:39	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.53	-	-
2021-07-05T07:39:53	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	25.07	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	15.942 GHz-days
Estimated T-Level:	23.143

Digits	B1	Curves	Complete	FacMiss
20	11000	176 / 100	1.760	17.053%
25	50000	176 / 280	0.629	53.275%

New Calculation Method

Total ECM effort:	15.942 GHz-days
Estimated T-Level:	23.143

Digits	B1	Complete	FacMiss
20	11000	6.837	0.107%
25	50000	0.633	53.116%
30	250000	0.040	96.083%
35	1000000	0.002	99.813%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	155	13.79
50000	6750000	14	1.427
50000	7050000	7	0.729

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-28T13:56:00	SubPrime	pitr	50000	5000000						3	0.267
2010-02-13T17:12:00	James Classen	towerofart	50000	5000000						3	0.267
2012-02-01T20:02:00	S36049	Wolle5	50000	5000000						3	0.267
2013-11-19T07:11:00	Bruce	apandya-DESK11	50000	5000000						3	0.267
2015-06-24T16:26:00	guru	w6	50000	5000000						3	0.267
2016-02-19T10:41:17	arnaud	SPR18	50000	5000000						3	0.267
2016-05-23T19:45:08	Bruce	Desk6	50000	5000000						3	0.267
2016-09-12T11:42:28	Bruce	Desk6	50000	5000000						3	0.267
2017-03-19T19:38:35	Bruce	Desk6	50000	5000000						3	0.267
2017-10-30T18:19:44	Sebastian Hornbostel	V2	50000	5000000						3	0.267
2018-03-22T16:51:36	Bruce	Desk6	50000	5000000						3	0.267
2018-10-05T03:31:53	Bruce	Desk6	50000	5000000						3	0.267
2020-03-29T23:36:26	MarkS	desktop-i7	50000	5000000						3	0.267
2020-04-10T20:16:28	daveward2005	Davy	50000	5000000						3	0.267
2020-04-23T03:45:38	nordi	sweet16	50000	5000000						3	0.267
2020-04-30T09:21:09	mnd9	fb	50000	5000000						3	0.267
2020-05-11T20:03:06	nordi	sweet16	50000	5000000						3	0.267
2020-05-27T01:19:59	mnd9	libproj	50000	5000000						3	0.267
2020-06-17T03:56:19	mnd9	50871b	50000	5000000						3	0.267
2020-06-28T15:17:29	GAN	GAN-HP	50000	5000000						3	0.267
2020-07-05T19:20:44	Ahmed Azhad	colab	50000	5000000						3	0.267
2020-07-12T03:09:51	GAN	LMS-16	50000	5000000						3	0.267
2020-07-17T23:43:04	GAN	LMS-04	50000	5000000						3	0.267
2020-07-24T03:59:31	GAN	LMS-17	50000	5000000						3	0.267
2020-07-31T05:14:06	GAN	LMS-14	50000	5000000						3	0.267
2020-08-08T10:06:50	J.R. Allen	lapasus	50000	5000000						3	0.267
2020-08-16T09:21:30	-Anonymous-	aws	50000	5000000						7	0.623
2020-09-18T13:13:10	kracker	core	50000	5000000						7	0.623
2020-10-17T12:23:46	mnd9	50871b	50000	5000000						7	0.623
2020-11-19T16:07:47	Zenzoma	i7-6820HQ	50000	5000000						7	0.623
2020-12-28T07:34:41	rextherunt	ice	50000	5000000						7	0.623
2021-01-28T16:37:57	daveward2005	MW	50000	5000000						7	0.623
2021-02-28T12:52:54	Yxinity	Olga	50000	5000000						7	0.623
2021-03-31T22:55:07	Zenzoma	AMD3970X	50000	5000000						7	0.623
2021-07-01T23:28:02	kutens	arcturus	50000	6750000						7	0.714
2021-07-14T07:50:12	kutens	canopus	50000	6750000						7	0.714
2021-08-28T15:23:04	daveward2005	Dave2	50000	5000000						7	0.623
2021-11-12T21:58:11	daveward2005	d12436	50000	5000000						7	0.623
2022-03-05T03:04:32	Jonathan Webb	do-primes-2	50000	5000000						7	0.623
2022-06-05T21:14:02	sps97003	Tazlina	50000	7050000						7	0.729

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)
1999-03-26T00:00:00	ANONYMOUS	v4_computers	44EED5A74CA4715A	0.161
2018-05-15T19:15:15	kkmrkkblmbrbk	old	44EED5A74CA4715A	0.161