M2493587 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	23.9033	67.6471%	3000000	100000000	0.8332	7.8766%	24.7365	70.1954%	2.5483%
PrimeNet	2⁵⁹	0.0308	62.7119%	10000	180000	0.0019	2.5367%	0.0327	63.6577%	0.9459%
GPU72	2⁶³	0.6400	65.0794%	11000	160000	0.0019	1.3814%	0.6420	65.5617%	0.4824%
Difference	+5	+23.2632	+2.5677%	+2989000	+99840000	+0.8313	+6.4953%	+24.0945	+4.6336%	+4.6336%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2493587	314963004582604937353	21	68.094	63154605109548 2² × 3 × 251 × 20967664379	2020-10-27	251	20967664379	42.834	114.89	214.59

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%
2011-01-24T05:55:00	Oscar Östlin		95000	1971250		-		-	-	0.020	-	-	2.387%
2014-09-10T00:51:00	Jocelyn Larouche	Manual testing	120740	120740		-		-	-	0.012	-	-	0.917%
2014-12-03T06:59:00	mikr	MSI	2382500	85770100		-		-	-	0.697	-	-	7.552%
2015-12-24T13:33:27	mikr	MSI	3000000	100000000	12	-		-	-	0.833	-	-	7.877%

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	-	-
2009-01-11T09:41:00	Sturle Sunde	goose.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-06-11T10:43:00	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		-	-	2.997	-	-
2017-07-24T22:21:29	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.994	-	-
2019-04-15T13:43:02	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.99	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	7.076 GHz-days
Estimated T-Level:	3.850

Digits	B1	Curves	Complete	FacMiss
20	11000	77 / 100	0.770	46.122%
25	50000	77 / 280	0.275	75.920%

New Calculation Method

Total ECM effort:	7.076 GHz-days
Estimated T-Level:	3.850

Digits	B1	Complete	FacMiss
20	11000	2.484	8.342%
25	50000	0.224	79.892%
30	250000	0.014	98.627%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		73	6.709
50000	5000000	314963004582604937353	4	0.368

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-02T20:54:00	Lackó	Ilka	50000	5000000						3	0.276
2010-04-01T03:15:00	James Classen	towerofart	50000	5000000						3	0.276
2012-07-10T06:43:00	soldake	PentiumD	50000	5000000						3	0.276
2014-02-20T12:52:00	Lukasz Wrobel	i-1	50000	5000000						3	0.276
2015-07-24T08:15:00	guru	w6	50000	5000000						3	0.276
2016-03-02T14:42:31	S36049	Wolle4	50000	5000000						3	0.276
2016-06-28T22:48:53	Bruce	test	50000	5000000						3	0.276
2017-03-18T21:04:59	Ensigma	vps_sing	50000	5000000						3	0.276
2017-08-19T12:32:08	Lelikoid	QH	50000	5000000						3	0.276
2017-12-28T03:59:56	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2018-08-20T08:28:36	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2019-10-20T16:29:11	monsted	rootweiler	50000	5000000						3	0.276
2020-05-16T22:33:11	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2020-06-04T07:14:53	daveward2005	MW	50000	5000000						3	0.276
2020-06-22T20:52:59	mnd9	25836b	50000	5000000						3	0.276
2020-07-02T10:30:45	mnd9	libproj	50000	5000000						3	0.276
2020-07-09T09:03:08	GAN	KL-SCH04	50000	5000000						3	0.276
2020-07-14T16:02:51	GAN	PG-HP	50000	5000000						3	0.276
2020-07-21T06:32:59	mnd9	25836b	50000	5000000						3	0.276
2020-07-27T11:26:07	GAN	XPS	50000	5000000						3	0.276
2020-08-06T22:01:22	Nesowa	entropy_generator_2	50000	5000000						3	0.276
2020-08-11T08:21:50	GAN	LMS-07	50000	5000000						3	0.276
2020-10-01T08:44:34	lycorn	colab_S	50000	5000000						7	0.643
2020-10-27T04:09:34	mnd9	kitchen	50000	5000000	314963004582604937353	68.094	4	2	1464044508566319	4	0.368

date	userid	compid	res64	spent (GHz-days)
1999-11-10T00:00:00	ANONYMOUS	v4_computers	792933B23D200CC2	0.173
2018-06-01T07:35:03	kkmrkkblmbrbk	old	792933B23D200CC2	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 = 3000000, B2 = 100000000 (P-1 stage 2)

B1 = 2382500, B2 = 85770100 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 2382500 (P-1 stage 1)

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

B1 = 120740 (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)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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