M2436517 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	24.4631	67.6471%	1988120	69584180	0.5555	7.1775%	25.0186	69.9692%	2.3221%
PrimeNet	2⁵⁹	0.0315	62.7119%	10000	180000	0.0019	2.5256%	0.0334	63.6536%	0.9418%
GPU72	2⁶³	0.6550	65.0794%	10000	150000	0.0017	1.3061%	0.6568	65.5355%	0.4561%
Difference	+5	+23.8081	+2.5677%	+1978120	+69434180	+0.5538	+5.8714%	+24.3619	+4.4337%	+4.4337%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2436517	27042027775577291313415993	26	84.483	5549320562010708588 2² × 3 × 7 × 17 × 3886078824937471	2021-03-02	17	3886078824937471	2,689,710	20,739,571	38,735,743

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.233%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	217500		-		-	-	0.003	-	-	0.770%
2010-11-17T11:35:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.262%
2011-01-10T00:27:00	Oscar Östlin		95000	1923750		-		-	-	0.019	-	-	2.365%
2014-05-10T05:57:00	mikr	MSI	1988120	69584180		-		-	-	0.556	-	-	7.178%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-15T00:00:00	Martijn Otto	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23T16:29:14	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-15T01:10:00	Sturle Sunde	gouache.ifi	2⁶⁰	2⁶¹		-	-	0.063	-	-
2012-06-05T21:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.126	-	-
2013-01-23T08:28:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.403	-	-
2015-02-27T20:40:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.806	-	-
2015-02-27T20:40:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.533	-	-
2015-10-25T20:35:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.067	-	-
2017-07-08T12:01:26	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.134	-	-
2019-06-03T11:26:15	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.27	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.529 GHz-days
Estimated T-Level:	22.089

Digits	B1	Curves	Complete	FacMiss
20	11000	117 / 100	1.170	30.854%
25	50000	117 / 280	0.418	65.796%

New Calculation Method

Total ECM effort:	10.529 GHz-days
Estimated T-Level:	22.089

Digits	B1	Complete	FacMiss
20	11000	4.522	1.086%
25	50000	0.418	65.811%
30	250000	0.026	97.394%
35	1000000	0.001	99.877%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		107	9.55
50000	5000000	27042027775577291313415993	3	0.268
50000	6750000		7	0.716

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-05T09:56:00	Smurgs	Praca	50000	5000000						3	0.268
2010-03-08T12:24:00	SubPrime	stor	50000	5000000						3	0.268
2012-04-04T14:11:00	S36049	Wolle5	50000	5000000						3	0.268
2013-12-22T07:03:00	Andy Incline	Office-PC	50000	5000000						3	0.268
2015-07-05T18:26:00	guru	w6	50000	5000000						3	0.268
2016-04-23T18:50:58	Bruce	Desk6	50000	5000000						3	0.268
2016-06-14T16:18:16	Bruce	test	50000	5000000						3	0.268
2016-10-17T10:38:48	Bruce	Desk6	50000	5000000						3	0.268
2017-04-24T10:34:19	Bruce	Desk6	50000	5000000						3	0.268
2017-12-01T06:49:11	Sebastian Hornbostel	V2	50000	5000000						3	0.268
2018-05-06T19:04:52	Bruce	Desk6	50000	5000000						3	0.268
2019-05-28T12:32:05	Palantsevich	OfficeB01	50000	5000000						3	0.268
2020-04-23T19:42:28	EricP	Cannonfodder	50000	5000000						3	0.268
2020-05-11T20:14:58	mnd9	75211backdoorb	50000	5000000						3	0.268
2020-05-12T21:01:11	Keysarecool	HPLaptop	50000	5000000						3	0.268
2020-05-28T23:58:52	Brett Walker	brain	50000	5000000						3	0.268
2020-06-21T02:37:55	nokno	leo224	50000	5000000						3	0.268
2020-06-29T11:17:53	lycorn	colab_ES	50000	5000000						3	0.268
2020-07-06T18:05:05	daveward2005	MW	50000	5000000						3	0.268
2020-07-12T20:54:46	GAN	LMS-02	50000	5000000						3	0.268
2020-07-18T20:16:03	MarkS	desktop-i7	50000	5000000						3	0.268
2020-07-25T01:48:07	GAN	LMS-11	50000	5000000						3	0.268
2020-08-01T23:49:19	TheJudger	Ananke	50000	5000000						3	0.268
2020-08-08T22:25:22	GAN	LMS-06	50000	5000000						3	0.268
2020-08-19T01:16:25	Poao	pc-Home	50000	5000000						7	0.624
2020-08-26T14:46:31	Poao	Manual testing	50000	5000000						7	0.624
2020-10-20T11:58:24	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.624
2020-11-23T13:59:17	daveward2005	Dave2	50000	5000000						7	0.624
2020-12-29T17:56:01	lycorn	colab_ES_1	50000	6750000						7	0.716
2021-02-02T07:04:51	IanGlencross	glenx24	50000	5000000						7	0.624
2021-03-02T13:06:11	Zenzoma	AM3700X_1	50000	5000000	27042027775577291313415993	84.483	3	2	5956738159538161	3	0.268

date	userid	compid	res64	spent (GHz-days)
1999-04-13T00:00:00	Martijn Otto	v4_computers	EDCA2199F41F9FF4	0.165
2018-05-23T09:47:12	kkmrkkblmbrbk	old	EDCA2199F41F9FF4	0.165

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 = 1988120, B2 = 69584180 (P-1 stage 2)

B1 = 1988120 (P-1 stage 1)

B1 = 95000, B2 = 1923750 (P-1 stage 2)

B1 = 95000 (P-1 stage 1)

B1 = 15000, B2 = 217500 (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