M2512943 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	23.7192	67.6471%	3200000	112000000	0.9180	8.0613%	24.6372	70.2551%	2.6081%
PrimeNet	2⁵⁹	0.0306	62.7119%	11000	190000	0.0021	2.6415%	0.0326	63.6968%	0.9850%
GPU72	2⁶³	0.6351	65.0794%	11000	170000	0.0020	1.4089%	0.6371	65.5714%	0.4920%
Difference	+5	+23.0840	+2.5677%	+3189000	+111830000	+0.9160	+6.6523%	+24.0001	+4.6837%	+4.6837%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2512943	6662642739737034597551	22	72.497	1325665313486425 5² × 17 × 3119212502321	2020-07-07	25	3119212502321	639.67	17,092	31,923

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%
2010-12-19T21:41:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.264%
2011-01-01T13:18:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.366%
2011-01-06T01:05:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.529%
2011-10-05T13:10:00	markr	tiny	170000	3952500		-		-	-	0.038	-	-	3.120%
2016-03-07T15:59:50	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	-	-
2009-01-30T18:36:00	Sturle Sunde	herrick.ifi	2⁶⁰	2⁶¹		-	-	0.061	-	-
2012-06-13T00:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.122	-	-
2013-12-04T21:12:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.391	-	-
2015-02-18T11:36:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.781	-	-
2015-02-18T11:36:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.487	-	-
2015-11-05T09:47:22	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.974	-	-
2017-07-31T07:56:50	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.947	-	-
2019-05-06T12:23:26	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.89	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	4.416 GHz-days
Estimated T-Level:	2.400

Digits	B1	Curves	Complete	FacMiss
20	11000	48 / 100	0.480	61.729%
25	50000	48 / 280	0.171	84.220%

New Calculation Method

Total ECM effort:	4.416 GHz-days
Estimated T-Level:	2.400

Digits	B1	Complete	FacMiss
20	11000	1.548	21.259%
25	50000	0.140	86.941%
30	250000	0.009	99.142%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		45	4.140
50000	5000000	6662642739737034597551	3	0.276

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-25T17:42:00	Newro	home	50000	5000000						3	0.276
2010-04-11T22:16:00	KAMCOBILL	PC01	50000	5000000						3	0.276
2012-08-31T18:37:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.276
2014-03-11T16:31:00	Andy Incline	Office-PC	50000	5000000						3	0.276
2015-07-29T13:38:00	guru	w1	50000	5000000						3	0.276
2016-03-16T01:09:04	Dave Matthews	VMW7-001	50000	5000000						3	0.276
2016-07-01T08:09:23	Jason U	Server7	50000	5000000						3	0.276
2017-04-17T11:11:25	Angel Pescador		50000	5000000						3	0.276
2017-09-05T02:27:19	Tom Bammann	Laura-Laptop	50000	5000000						3	0.276
2018-01-11T21:19:01	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2018-09-27T10:54:26	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2020-05-14T06:25:07	nordi	sweet16	50000	5000000						3	0.276
2020-05-31T03:24:19	mnd9	75203b	50000	5000000						3	0.276
2020-06-21T12:56:27	LaurV	3tits	50000	5000000						3	0.276
2020-07-02T12:07:18	nordi	sweet16	50000	5000000						3	0.276
2020-07-07T04:27:24	daveward2005	Davy	50000	5000000	6662642739737034597551	72.497	3	2		3	0.276

date	userid	compid	res64	spent (GHz-days)
1999-04-13T00:00:00	ANONYMOUS	v4_computers	2D9C0E93F89002C3	0.174
2018-06-04T14:30:04	kkmrkkblmbrbk	old	2D9C0E93F89002C3	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 = 170000, B2 = 3952500 (P-1 stage 2)

B1 = 170000 (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)

10⁰

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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