M2511143 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	23.7362	67.6471%	3200000	112000000	0.9180	8.0607%	24.6542	70.2549%	2.6079%
PrimeNet	2⁵⁹	0.0306	62.7119%	11000	190000	0.0021	2.6412%	0.0327	63.6967%	0.9849%
GPU72	2⁶³	0.6356	65.0794%	11000	170000	0.0020	1.4087%	0.6376	65.5713%	0.4919%
Difference	+5	+23.1006	+2.5677%	+3189000	+111830000	+0.9160	+6.6520%	+24.0166	+4.6836%	+4.6836%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2511143	25062383129760159653023	23	74.408	4990234154279577 3 × 7 × 237630197822837	2021-05-21	7	237630197822837	1,641.3	1,302,101	2,431,963

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-23T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.235%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	236250		-		-	-	0.003	-	-	0.795%
2010-12-16T22:40:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.264%
2011-01-01T00:57:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.365%
2011-01-04T22:09:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.529%
2011-10-04T08:05:00	markr	tiny	165000	3918750		-		-	-	0.037	-	-	3.099%
2016-02-24T18:14:57	mikr	MSI	3200000	112000000	12	-		-	-	0.918	-	-	8.061%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:15	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-30T21:46:00	Sturle Sunde	giny.ifi	2⁶⁰	2⁶¹		-	-	0.061	-	-
2012-06-12T20:32:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.122	-	-
2013-01-14T11:53:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.391	-	-
2015-02-18T11:36:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.782	-	-
2015-02-18T11:36:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.488	-	-
2015-11-05T09:47:21	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.976	-	-
2017-07-31T07:56:49	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.952	-	-
2019-05-13T13:38:13	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.90	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.413 GHz-days
Estimated T-Level:	22.214

Digits	B1	Curves	Complete	FacMiss
20	11000	124 / 100	1.240	28.758%
25	50000	124 / 280	0.443	64.169%

New Calculation Method

Total ECM effort:	11.413 GHz-days
Estimated T-Level:	22.214

Digits	B1	Complete	FacMiss
20	11000	4.769	0.849%
25	50000	0.441	64.313%
30	250000	0.028	97.254%
35	1000000	0.001	99.870%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		119	10.95
50000	5150000	25062383129760159653023	5	0.466

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-25T07:37:00	alan145	Bear4	50000	5000000						3	0.276
2010-04-12T22:44:00	SubPrime	stor	50000	5000000						3	0.276
2012-08-28T08:46:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.276
2014-03-09T07:23:00	Andy Incline	Office-PC	50000	5000000						3	0.276
2015-07-29T01:03:00	guru	w6	50000	5000000						3	0.276
2016-03-03T14:52:37	Hartmut Birr	C7CE7B89E	50000	5000000						3	0.276
2016-07-03T13:18:44	Bruce	test	50000	5000000						3	0.276
2017-04-10T17:59:05	deo2016	deo2016.home.new	50000	5000000						3	0.276
2017-09-04T07:29:06	Sebastian Hornbostel	V2	50000	5000000						3	0.276
2018-01-10T07:42:00	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2018-09-24T02:01:52	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2020-05-13T10:09:43	nordi	sweet16	50000	5000000						3	0.276
2020-06-15T09:54:13	Kamil Mudrunka	Trashbook	50000	5000000						3	0.276
2020-06-16T15:05:59	lycorn	colab_A	50000	5000000						3	0.276
2020-06-30T06:40:44	LaurV	3tits	50000	5000000						3	0.276
2020-07-06T12:44:06	GAN	LMS-06	50000	5000000						3	0.276
2020-07-14T05:34:16	GAN	KA-AC	50000	5000000						3	0.276
2020-07-19T01:10:50	GAN	OSB-01	50000	5000000						3	0.276
2020-07-25T23:02:31	GAN	KL-SCH01	50000	5000000						3	0.276
2020-08-01T06:21:51	GAN	LMS-16	50000	5000000						3	0.276
2020-08-09T00:04:06	GAN	LMS-02	50000	5000000						3	0.276
2020-08-20T20:36:01	J.R. Allen	lapacer	50000	5000000						7	0.644
2020-09-21T10:00:36	mat10243x	K2	50000	5000000						7	0.644
2020-10-20T07:16:38	J.R. Allen	lapasus	50000	5000000						7	0.644
2020-11-24T20:12:09	mnd9	libproj	50000	5000000						7	0.644
2020-12-29T15:06:44	Zenzoma	AMD3970X	50000	5000000						7	0.644
2021-01-29T15:17:01	Zenzoma	AMD3970X	50000	5000000						7	0.644
2021-02-28T03:41:33	mnd9	27016b	50000	5000000						7	0.644
2021-04-03T14:33:11	Zenzoma	AMD3970X	50000	5000000						7	0.644
2021-05-21T09:29:58	kutens	canopus	50000	5150000	25062383129760159653023	74.408	5	2	6511174266301545	5	0.466

date	userid	compid	res64	spent (GHz-days)
1999-03-15T00:00:00	ANONYMOUS	v4_computers	443AAB09C358C4__	0.174

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 = 3200000, B2 = 112000000 (P-1 stage 2)

B1 = 3200000 (P-1 stage 1)

B1 = 165000, B2 = 3918750 (P-1 stage 2)

B1 = 165000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000, B2 = 236250 (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