M2494673 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	23.8929	67.6471%	2382500	85770100	0.6965	7.5523%	24.5894	70.0905%	2.4434%
PrimeNet	2⁵⁹	0.0308	62.7119%	10000	180000	0.0019	2.5369%	0.0327	63.6578%	0.9459%
GPU72	2⁶³	0.6398	65.0794%	11000	160000	0.0019	1.3815%	0.6417	65.5618%	0.4824%
Difference	+5	+23.2531	+2.5677%	+2371500	+85610100	+0.6946	+6.1708%	+23.9477	+4.5287%	+4.5287%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2494673	5814068454800018672401	22	72.300	1165296705179400 2³ × 3² × 5² × 647387058433	2020-08-29	25	647387058433	692.08	3,547.4	6,625.5

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	228750		-		-	-	0.003	-	-	0.786%
2010-12-22T11:37:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.263%
2011-01-24T23:16:00	Oscar Östlin		95000	1971250		-		-	-	0.020	-	-	2.387%
2014-09-10T00:51:00	Jocelyn Larouche	Manual testing	120729	120729		-		-	-	0.012	-	-	0.917%
2014-12-06T01:33:00	mikr	MSI	2382500	85770100		-		-	-	0.697	-	-	7.552%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-08-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:15	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-11T02:42:00	Sturle Sunde	ginglo.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-06-11T12:42:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.123	-	-
2013-12-04T21:13:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.394	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.787	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.498	-	-
2015-10-31T16:44:06	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.995	-	-
2017-07-24T22:21:29	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.991	-	-
2019-04-01T13:34:43	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.98	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	6.709 GHz-days
Estimated T-Level:	3.650

Digits	B1	Curves	Complete	FacMiss
20	11000	73 / 100	0.730	48.014%
25	50000	73 / 280	0.261	77.014%

New Calculation Method

Total ECM effort:	6.709 GHz-days
Estimated T-Level:	3.650

Digits	B1	Complete	FacMiss
20	11000	2.355	9.491%
25	50000	0.213	80.830%
30	250000	0.013	98.698%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		66	6.066
50000	5000000	5814068454800018672401	7	0.643

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-22T09:12:00	James Hintz	OMFG	50000	5000000						3	0.276
2010-04-07T09:35:00	Csaba Vágó	timigep	50000	5000000						3	0.276
2012-07-08T15:36:00	soldake	Core2DuoM	50000	5000000						3	0.276
2014-02-19T07:16:00	Andy Incline	Office-PC	50000	5000000						3	0.276
2015-07-24T16:45:00	guru	w6	50000	5000000						3	0.276
2016-03-15T07:14:06	Dave Matthews	VMW7-001	50000	5000000						3	0.276
2016-06-25T20:07:00	Jason U	Server7	50000	5000000						3	0.276
2017-03-23T13:14:11	Ensigma	vps_sing	50000	5000000						3	0.276
2017-08-17T01:06:03	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2017-12-29T15:02:12	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2018-08-23T01:51:13	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2019-10-20T12:30:33	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2020-05-18T01:54:17	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.276
2020-06-05T16:52:16	nordi	sweet16	50000	5000000						3	0.276
2020-06-23T10:10:07	mnd9	25836b	50000	5000000						3	0.276
2020-07-02T18:35:45	mnd9	25836b	50000	5000000						3	0.276
2020-07-09T10:55:55	mnd9	25836b	50000	5000000						3	0.276
2020-07-14T23:44:45	daveward2005	Dave2	50000	5000000						3	0.276
2020-07-21T02:08:26	GAN	LMS-14	50000	5000000						3	0.276
2020-07-27T17:23:07	daveward2005	MW	50000	5000000						3	0.276
2020-08-03T20:25:27	GAN	LMS-14	50000	5000000						3	0.276
2020-08-11T18:24:59	GAN	LMS-17	50000	5000000						3	0.276
2020-08-29T21:52:33	Chang Chia-Tche	ex-ctcpc	50000	5000000	5814068454800018672401	72.300	7	2	1724799601270543	7	0.643

date	userid	compid	res64	spent (GHz-days)
1999-07-12T00:00:00	ANONYMOUS	v4_computers	3D70B245B9D51800	0.173
2018-06-01T10:51:50	kkmrkkblmbrbk	old	3D70B245B9D51800	0.173

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 = 2382500, B2 = 85770100 (P-1 stage 2)

B1 = 2382500 (P-1 stage 1)

B1 = 95000, B2 = 1971250 (P-1 stage 2)

B1 = 120729 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

B1 = 15000, B2 = 228750 (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