M2498593 Mersenne number exponent details

is 2 ^2498593 - 1

has 752152 decimal digits

takes 0.173 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁹	47.7816	68.1159%	2382500	85770100	0.6965	6.9482%	48.4782	70.3313%	2.2154%
PrimeNet	2⁵⁹	0.0307	62.7119%	10000	180000	0.0019	2.5376%	0.0327	63.6581%	0.9462%
GPU72	2⁶³	0.6388	65.0794%	11000	170000	0.0020	1.4073%	0.6407	65.5708%	0.4914%
Difference	+6	+47.1428	+3.0366%	+2371500	+85600100	+0.6946	+5.5409%	+47.8374	+4.7605%	+4.7605%

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	-	-	0.189%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	228750		-		-	-	0.003	-	-	0.671%
2010-12-16T22:39:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.221%
2011-01-25T11:16:00	Oscar Östlin		95000	1971250		-		-	-	0.020	-	-	2.116%
2014-09-10T00:51:00	Jocelyn Larouche	Manual testing	120688	120688		-		-	-	0.012	-	-	0.798%
2014-12-16T01:53:00	mikr	MSI	2382500	85770100		-		-	-	0.697	-	-	6.948%

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	-	-
2009-01-11T00:11:00	Sturle Sunde	gnom.ifi	2⁶⁰	2⁶¹		-	-	0.061	-	-
2012-06-11T16:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.123	-	-
2013-01-14T11:53:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.393	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.786	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.495	-	-
2015-10-31T16:44:07	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.991	-	-
2017-07-27T10:22:10	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.982	-	-
2019-03-04T13:44:30	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.96	-	-
2021-05-27T10:39:17	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	23.93	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.549 GHz-days
Estimated T-Level:	22.804

Digits	B1	Curves	Complete	FacMiss
20	11000	157 / 100	1.570	20.641%
25	50000	157 / 280	0.561	57.023%

New Calculation Method

Total ECM effort:	14.549 GHz-days
Estimated T-Level:	22.804

Digits	B1	Complete	FacMiss
20	11000	6.061	0.233%
25	50000	0.561	57.051%
30	250000	0.035	96.520%
35	1000000	0.002	99.835%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	143	13.15
50000	5150000	7	0.652
50000	7000000	7	0.752

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-28T00:44:00	Marzbug	Xeon	50000	5000000						3	0.276
2010-04-04T19:14:00	Lupo	yorick	50000	5000000						3	0.276
2012-07-14T22:13:00	fre_games	desktop	50000	5000000						3	0.276
2014-02-22T22:50:00	Andy Incline	Office-PC	50000	5000000						3	0.276
2015-07-25T16:14:00	guru	w6	50000	5000000						3	0.276
2016-02-27T18:35:59	arnaud	CHAMOT09	50000	5000000						3	0.276
2016-07-01T18:04:06	Marius Zens	KBWR_TV3	50000	5000000						3	0.276
2017-03-28T14:27:53	Ensigma	vps_sing	50000	5000000						3	0.276
2017-08-23T13:17:53	Lelikoid	QH	50000	5000000						3	0.276
2018-01-02T00:26:24	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2018-09-02T06:59:34	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2019-10-24T18:08:48	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2020-05-21T20:21:26	mnd9	libproj	50000	5000000						3	0.276
2020-06-09T13:30:23	daveward2005	MW	50000	5000000						3	0.276
2020-06-25T05:58:36	daveward2005	Davy	50000	5000000						3	0.276
2020-07-03T10:32:20	GAN	LMS-15	50000	5000000						3	0.276
2020-07-10T19:09:12	GAN	KL-SCH01	50000	5000000						3	0.276
2020-07-15T23:15:37	daveward2005	Dave2	50000	5000000						3	0.276
2020-07-22T02:23:56	GAN	LMS-12	50000	5000000						3	0.276
2020-07-28T16:36:20	lycorn	colab_S	50000	5000000						3	0.276
2020-08-05T01:40:27	GAN	LMS-15	50000	5000000						3	0.276
2020-08-13T05:49:22	GAN	LMS-14	50000	5000000						3	0.276
2020-09-02T17:04:05	daveward2005	Dave2	50000	5000000						7	0.643
2020-10-07T00:56:03	mnd9	libproj	50000	5000000						7	0.643
2020-11-03T20:22:50	LaurV	bc1	50000	5000000						7	0.643
2020-12-07T04:20:54	Zenzoma	i7-6820HQ	50000	5000000						7	0.643
2021-01-09T11:44:39	mnd9	office2	50000	5000000						7	0.643
2021-02-08T05:59:21	Zenzoma	AMD3970X	50000	5000000						7	0.643
2021-03-09T09:01:54	C.D.B.	i7-6850K	50000	5000000						7	0.643
2021-04-15T21:42:26	Zenzoma	AMD3970X	50000	5000000						7	0.643
2021-06-07T12:53:05	kutens	arcturus	50000	5150000						7	0.652
2021-07-18T08:33:18	daveward2005	d12436	50000	5000000						7	0.643
2021-09-09T09:14:29	MarkS	laptop64	50000	5000000						7	0.643
2021-11-30T04:54:56	tottenhoff	Garage-Band-003	50000	5000000						7	0.643
2022-05-19T08:04:30	voidf	ATRI	50000	7000000						7	0.752

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-07-30T00:00:00	ANONYMOUS	v4_computers	A7E313A3E5948519	0.173
2000-09-29T00:00:00	ANONYMOUS	v4_computers	A7E313A3E5948519	0.173
2000-12-14T00:00:00	ANONYMOUS	v4_computers	A7E313A3E5948519	0.173
2001-06-30T00:00:00	ANONYMOUS	v4_computers	A7E313A3E5948519	0.173
2018-06-02T00:31:18	kkmrkkblmbrbk	old	A7E313A3E5948519	0.173

PRP results:
No PRP results for M2498593

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 = 120688 (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)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-05-19T08:04:30+00:00

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