M2171599 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	27.4475	67.6471%	2500000	125000000	0.8746	7.9248%	28.3221	70.2110%	2.5639%
PrimeNet	2⁵⁸	0.0177	62.0690%	10000	180000	0.0018	2.8562%	0.0195	63.1524%	1.0834%
GPU72	2⁶²	0.2829	64.5161%	11000	160000	0.0018	1.5675%	0.2847	65.0724%	0.5562%
Difference	+6	+27.1646	+3.1309%	+2489000	+124840000	+0.8728	+6.3573%	+28.0374	+5.1386%	+5.1386%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2171599	6333375165463350190719026393	28	92.355	1458228513980562293204 2² × 59 × 1736563 × 3558140062453	2020-07-15	1736563	3558140062453	616,212,869	18,482	34,519

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	-	-	0.226%
2010-11-05T01:16:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.198%
2010-11-07T17:04:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.354%
2011-01-15T16:06:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.514%
2011-01-16T02:27:00	markr	tiny	90000	1620000		-		-	-	0.017	-	-	2.203%
2014-06-11T02:11:00	Jocelyn Larouche	Manual testing	119556	119556		-		-	-	0.011	-	-	0.889%
2014-10-05T22:22:00	Jocelyn Larouche	Manual testing	149112	149112		-		-	-	0.014	-	-	1.007%
2016-01-25T22:41:24	Jocelyn Larouche	Manual testing	489254	4892540	6	-		-	-	0.070	-	-	3.709%
2018-01-15T20:42:18	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.925%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:07	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.053	-	-
2009-01-04T12:24:00	Sturle Sunde	bakeng.ifi	2⁶⁰	2⁶¹		-	-	0.071	-	-
2009-01-06T09:48:00	Sturle Sunde	celair.ifi	2⁶¹	2⁶²		-	-	0.141	-	-
2013-09-09T08:39:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.452	-	-
2015-03-25T10:09:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.904	-	-
2015-03-25T10:09:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.721	-	-
2016-01-02T13:50:56	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.441	-	-
2016-11-14T03:44:01	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.882	-	-
2019-05-06T12:23:33	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.76	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.034 GHz-days
Estimated T-Level:	4.700

Digits	B1	Curves	Complete	FacMiss
20	11000	94 / 100	0.940	38.878%
25	50000	94 / 280	0.336	71.440%

New Calculation Method

Total ECM effort:	8.034 GHz-days
Estimated T-Level:	4.700

Digits	B1	Complete	FacMiss
20	11000	3.032	4.821%
25	50000	0.274	76.029%
30	250000	0.017	98.327%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		93	7.948
50000	5000000	6333375165463350190719026393	1	0.085

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-20T22:01:00	Nathan Slaven	q6600	50000	5000000						3	0.256
2009-12-04T06:58:00	SubPrime	mysql0	50000	5000000						3	0.256
2011-08-24T09:46:00	Kamil_Górski	thefault	50000	5000000						3	0.256
2013-05-09T20:04:00	Xyzzy	J	50000	5000000						3	0.256
2015-02-14T21:24:00	arnaud	CHAMOT22	50000	5000000						3	0.256
2015-12-14T05:46:03	guru	w1	50000	5000000						3	0.256
2016-03-04T05:28:15	Bruce	Desk6	50000	5000000						3	0.256
2016-06-21T22:43:17	Bruce	Desk6	50000	5000000						3	0.256
2016-10-16T12:10:58	Bruce	Desk6	50000	5000000						3	0.256
2017-04-01T11:28:53	Bruce	Desk6	50000	5000000						3	0.256
2017-10-28T00:36:11	Conductor	Sasha	50000	5000000						3	0.256
2018-03-05T16:29:15	Bruce	Desk6	50000	5000000						3	0.256
2018-08-16T20:15:43	Bruce	Desk6	50000	5000000						3	0.256
2020-01-26T10:08:00	Claude Portenier	Petit-Idiot	50000	5000000						3	0.256
2020-02-01T04:04:20	David_McCann	i5	50000	5000000						3	0.256
2020-02-10T16:40:57	cappy95833	HomePC	50000	5000000						3	0.256
2020-02-17T04:55:16	mnd9	colab2	50000	5000000						3	0.256
2020-02-24T17:36:53	mnd9	25836b	50000	5000000						3	0.256
2020-03-02T05:12:20	EricP	Cannonfodder	50000	5000000						3	0.256
2020-03-08T09:06:11	EricP	Cannonfodder	50000	5000000						3	0.256
2020-03-16T00:31:10	MarkS	laptop64	50000	5000000						3	0.256
2020-03-25T15:14:33	daveward2005	MW	50000	5000000						3	0.256
2020-04-08T13:44:08	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.256
2020-04-20T07:30:02	mnd9	fb	50000	5000000						3	0.256
2020-04-28T06:08:34	mnd9	75211backdoorb	50000	5000000						3	0.256
2020-05-11T00:17:33	nordi	sweet16	50000	5000000						3	0.256
2020-05-21T23:14:59	MarkS	laptop64	50000	5000000						3	0.256
2020-06-09T02:28:11	daveward2005	Davy	50000	5000000						3	0.256
2020-06-25T05:30:53	IanGlencross	glenx24	50000	5000000						3	0.256
2020-07-03T12:00:47	GAN	LMS-18	50000	5000000						3	0.256
2020-07-10T07:50:38	mnd9	office2	50000	5000000						3	0.256
2020-07-15T20:46:10	GAN	LMS-17	50000	5000000	6333375165463350190719026393	92.355	1	2	888534911581570	1	0.085

date	userid	compid	res64	spent (GHz-days)
1999-02-21T00:00:00	ANONYMOUS	v4_computers	B9F85D175094801B	0.143
2018-04-12T04:43:27	kkmrkkblmbrbk	old	B9F85D175094801B	0.143

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 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 489254, B2 = 4892540 (P-1 stage 2)

B1 = 489254 (P-1 stage 1)

B1 = 90000, B2 = 1620000 (P-1 stage 2)

B1 = 149112 (P-1 stage 1)

B1 = 119556 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (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

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

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10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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