M2595589 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	22.9639	67.6471%	3000000	135000000	1.0250	8.2790%	23.9889	70.3256%	2.6785%
PrimeNet	2⁵⁹	0.0296	62.7119%	11000	200000	0.0021	2.6940%	0.0317	63.7164%	1.0046%
GPU72	2⁶³	0.6149	65.0794%	12000	200000	0.0022	1.5298%	0.6171	65.6136%	0.5342%
Difference	+5	+22.3490	+2.5677%	+2988000	+134800000	+1.0228	+6.7492%	+23.3718	+4.7120%	+4.7120%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2595589	2919364433325174202561	22	71.306	562370320055520 2⁵ × 3² × 5 × 390534944483	2021-01-05	32	390534944483	220.08	2,139.9	3,996.8

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-31T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.238%
2003-11-08T00:00:00	Team Prime Rib	v4_computers	15000	206250		-		-	-	0.003	-	-	0.767%
2010-11-16T23:08:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.266%
2011-01-15T02:57:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.533%
2011-02-25T08:51:00	James Heinrich	i7-920	300000	8000000		-		-	-	0.072	-	-	3.969%
2018-08-11T22:21:44	Jocelyn Larouche	low 4M	600000	600000		-		-	-	0.060	-	-	2.020%
2018-08-17T10:20:14	Jocelyn Larouche	low 4M	600000	6000000	6	-		-	-	0.090	-	-	4.059%
2018-11-24T19:21:42	mikr	MSI	3000000	135000000	12	-		-	-	1.025	-	-	8.279%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-02-12T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.015	-	-
1999-08-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.030	-	-
2016-02-23T16:29:17	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.030	-	-
2009-01-31T16:06:00	Sturle Sunde	dietrich.ifi	2⁶⁰	2⁶¹		-	-	0.059	-	-
2012-06-23T08:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.118	-	-
2013-01-14T11:55:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.378	-	-
2015-02-27T20:35:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.756	-	-
2015-02-27T20:35:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.440	-	-
2015-11-06T09:16:17	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.879	-	-
2017-08-20T12:59:37	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.758	-	-
2019-04-08T13:40:33	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.52	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.228 GHz-days
Estimated T-Level:	4.450

Digits	B1	Curves	Complete	FacMiss
20	11000	89 / 100	0.890	40.882%
25	50000	89 / 280	0.318	72.729%

New Calculation Method

Total ECM effort:	8.228 GHz-days
Estimated T-Level:	4.450

Digits	B1	Complete	FacMiss
20	11000	3.423	3.261%
25	50000	0.317	72.853%
30	250000	0.020	98.022%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		82	7.581
50000	5000000	2919364433325174202561	7	0.647

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-21T00:38:00	paulie	iMac3.4	50000	5000000						3	0.277
2010-05-25T00:18:00	Lupo	yorick	50000	5000000						3	0.277
2012-11-12T00:55:00	Donna Noble	PH2x6	50000	5000000						3	0.277
2014-07-11T01:41:00	Bruce	xps630	50000	5000000						3	0.277
2015-09-27T06:06:01	lopper	i5-4670	50000	5000000						3	0.277
2016-04-14T14:29:47	dragon325	Falken-i7-920	50000	5000000						3	0.277
2016-08-09T21:22:03	lettp	Home	50000	5000000						3	0.277
2017-06-11T16:34:25	S36049	Wolle5	50000	5000000						3	0.277
2017-10-13T17:23:38	Lelikoid	QH	50000	5000000						3	0.277
2018-04-11T12:21:21	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2019-02-14T19:40:49	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2020-07-01T23:35:58	GAN	PG-MS	50000	5000000						3	0.277
2020-07-08T12:37:02	GAN	LMS-12	50000	5000000						3	0.277
2020-07-14T18:11:01	MarkS	laptop64	50000	5000000						3	0.277
2020-07-20T20:26:39	GAN	OSB-01	50000	5000000						3	0.277
2020-07-27T13:32:24	rextherunt	ice	50000	5000000						3	0.277
2020-08-03T11:46:03	GAN	LMS-18	50000	5000000						3	0.277
2020-08-12T01:12:42	GAN	AC-KL	50000	5000000						3	0.277
2020-09-30T23:19:11	J.R. Allen	lapasus	50000	5000000						7	0.647
2020-10-28T08:39:12	mnd9	75211backdoor	50000	5000000						7	0.647
2020-12-02T04:05:33	RIHATEC	i7-3770K	50000	5000000						7	0.647
2020-12-26T13:21:25	Zenzoma	AMD3970X	50000	5000000						7	0.647
2021-01-05T08:27:16	rextherunt	ice	50000	5000000	2919364433325174202561	71.306	7	2		7	0.647

date	userid	compid	res64	spent (GHz-days)
1998-02-12T00:00:00	ANONYMOUS	v4_computers	1787446170ADC640	0.180
2015-11-14T02:20:13	MadPoo	Manual testing	1787446170ADC640	0.180

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 = 3000000, B2 = 135000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 600000, B2 = 6000000 (P-1 stage 2)

B1 = 300000, B2 = 8000000 (P-1 stage 2)

B1 = 600000 (P-1 stage 1)

B1 = 300000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 15000, B2 = 206250 (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)

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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