M1989101 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	29.9657	69.1176%	1989101	248637625	1.4708	8.4951%	31.4365	71.7411%	2.6235%
PrimeNet	2⁵⁸	0.0193	63.7931%	8000	140000	0.0014	2.4762%	0.0208	64.6897%	0.8966%
GPU72	2⁶²	0.3089	66.1290%	8000	100000	0.0012	1.1984%	0.3101	66.5349%	0.4059%
Difference	+6	+29.6569	+2.9886%	+1981101	+248537625	+1.4695	+7.2967%	+31.1264	+5.2062%	+5.2062%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1989101	22077575747379176653590551	26	84.191	5549636681943042775 5² × 43 × 59 × 87499198769303	2020-04-22	59	87499198769303	3,220,961	454,493	848,866

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-01-28T14:21:00	kurly	hex	1000000	30000000		-		-	-	0.246	-	-	5.709%
2018-01-28T11:49:25	Jocelyn Larouche	low 4M	1989101	30000000	12	-		-	-	0.335	-	-	6.071%
2018-02-15T13:14:31	Jocelyn Larouche	low 4M	1989101	60000000	12	-		-	-	0.491	-	-	6.858%
2018-03-10T11:04:13	Jocelyn Larouche	low 4M	1989101	120000000	12	-		-	-	0.803	-	-	7.653%
2018-05-21T11:06:47	Jocelyn Larouche	low 4M	1989101	198910100	12	-		-	-	1.212	-	-	8.237%
2018-11-26T12:53:50	Jocelyn Larouche	Manual testing	1989101	248637625	12	-		-	-	1.471	-	-	8.495%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23T16:29:02	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.058	-	-
2009-12-13T05:00:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.077	-	-
2016-02-23T16:29:02	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.154	-	-
2011-08-27T22:55:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.802	-	-
2016-02-23T16:29:02	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.494	-	-
2015-03-08T20:45:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	0.987	-	-
2015-03-08T20:45:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.878	-	-
2015-09-12T12:52:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.757	-	-
2017-09-22T15:53:14	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.514	-	-
2019-05-19T04:32:14	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.03	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.284 GHz-days
Estimated T-Level:	4.900

Digits	B1	Curves	Complete	FacMiss
20	11000	98 / 100	0.980	37.346%
25	50000	98 / 280	0.350	70.425%

New Calculation Method

Total ECM effort:	8.284 GHz-days
Estimated T-Level:	4.900

Digits	B1	Complete	FacMiss
20	11000	3.161	4.237%
25	50000	0.286	75.148%
30	250000	0.018	98.256%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		96	8.115
50000	5000000	22077575747379176653590551	2	0.169

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-29T17:50:00	Nathan Slaven	q6600	50000	5000000						3	0.254
2009-08-31T03:33:00	SubPrime	abd0	50000	5000000						3	0.254
2011-07-05T15:06:00	Csaba Vágó	timigep	50000	5000000						3	0.254
2012-12-12T04:57:00	Donna Noble	q8200v2	50000	5000000						3	0.254
2014-02-21T12:04:00	OS1	L3	50000	5000000						3	0.254
2015-06-30T08:39:00	OS1	L3	50000	5000000						3	0.254
2016-02-15T20:19:06	Sintax	cloud	50000	5000000						3	0.254
2016-04-04T05:00:54	Bruce	Desk6	50000	5000000						3	0.254
2016-07-10T15:09:34	Bruce	test	50000	5000000						3	0.254
2016-11-14T14:58:49	Bruce	Desk6	50000	5000000						3	0.254
2017-06-14T20:23:01	Bruce	Desk6	50000	5000000						3	0.254
2017-10-20T23:05:12	Conductor	Sasha	50000	5000000						3	0.254
2018-02-16T13:03:21	Bruce	Desk6	50000	5000000						3	0.254
2018-07-19T09:25:05	Bruce	Desk6	50000	5000000						3	0.254
2019-08-21T15:56:03	prime235711	prime235711	50000	5000000						3	0.254
2019-12-14T10:39:43	Keysarecool	HPLaptop	50000	5000000						3	0.254
2019-12-19T20:10:31	mnd9	75211backdoorb	50000	5000000						3	0.254
2019-12-26T17:42:48	mnd9	colab2	50000	5000000						3	0.254
2019-12-30T20:33:29	TheJudger	myECM	50000	5000000						3	0.254
2020-01-05T05:25:24	IanGlencross	glenx24	50000	5000000						3	0.254
2020-01-13T00:21:36	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.254
2020-01-19T22:35:46	EricP	Cannonfodder	50000	5000000						3	0.254
2020-01-25T15:16:17	daveward2005	MW	50000	5000000						3	0.254
2020-02-03T20:38:14	Nesowa	6700T	50000	5000000						3	0.254
2020-02-26T07:06:07	mat10243x	K2	50000	5000000						3	0.254
2020-03-03T14:37:01	ANONYMOUS	PC017	50000	5000000						3	0.254
2020-03-10T00:56:39	EricP	Cannonfodder	50000	5000000						3	0.254
2020-03-11T09:39:30	ANONYMOUS	Manual testing	50000	5000000						3	0.254
2020-03-24T22:48:53	mnd9	eileen	50000	5000000						3	0.254
2020-03-28T22:54:54	mnd9	colab2	50000	5000000						3	0.254
2020-04-09T09:14:27	daveward2005	Davy	50000	5000000						3	0.254
2020-04-12T20:24:22	Oliver Kruse	IOS-1	50000	5000000						3	0.254
2020-04-22T04:25:15	Keysarecool	HPLaptop	50000	5000000	22077575747379176653590551	84.191	2	2	5417828164941196	2	0.169

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	ANONYMOUS	v4_computers	F3731550B73CB5DB	0.131
2016-06-02T10:53:05	MadPoo	Manual testing	F3731550B73CB5DB	0.131

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 = 1989101, B2 = 248637625 (P-1 stage 2)

B1 = 1989101, B2 = 198910100 (P-1 stage 2)

B1 = 1989101, B2 = 120000000 (P-1 stage 2)

B1 = 1989101, B2 = 60000000 (P-1 stage 2)

B1 = 1989101, B2 = 30000000 (P-1 stage 2)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1989101 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

10⁰

10¹

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10³

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10¹⁴

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