M2498603 Mersenne number exponent details

is 2 ^2498603 - 1

has 752155 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	2⁶⁸	23.8553	67.6471%	2382500	85770100	0.6965	7.5535%	24.5518	70.0908%	2.4438%
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	+5	+23.2165	+2.5677%	+2371500	+85600100	+0.6946	+6.1462%	+23.9111	+4.5200%	+4.5200%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2498603	61076049240061887173321	23	75.693	12222039523698220 2² × 5 × 19 × 32163261904469	2020-06-09	19	32163261904469	4,839.0	176,239	329,166

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	-	-	0.787%
2010-12-16T22:39:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.264%
2011-01-25T11:44:00	Oscar Östlin		95000	1971250		-		-	-	0.020	-	-	2.388%
2014-09-10T00:51:00	Jocelyn Larouche	Manual testing	120688	120688		-		-	-	0.012	-	-	0.917%
2014-12-16T04:39:00	mikr	MSI	2382500	85770100		-		-	-	0.697	-	-	7.554%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:15	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-11T00:54:00	Sturle Sunde	gnom.ifi	2⁶⁰	2⁶¹		-	-	0.061	-	-
2012-06-11T17:42:00	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	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	3.677 GHz-days
Estimated T-Level:	2.000

Digits	B1	Curves	Complete	FacMiss
20	11000	40 / 100	0.400	66.897%
25	50000	40 / 280	0.143	86.666%

New Calculation Method

Total ECM effort:	3.677 GHz-days
Estimated T-Level:	2.000

Digits	B1	Complete	FacMiss
20	11000	1.290	27.518%
25	50000	0.117	88.993%
30	250000	0.007	99.284%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		39	3.585
50000	5000000	61076049240061887173321	1	0.092

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-18T22:25:00	flying_pizza	bak1	50000	5000000						3	0.276
2010-04-16T06:02:00	James Classen	towerofart	50000	5000000						3	0.276
2012-07-17T06:57:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.276
2014-02-23T00:17:00	Andy Incline	Office-PC	50000	5000000						3	0.276
2015-07-25T15:06:00	guru	w1	50000	5000000						3	0.276
2016-02-28T05:39:21	Jason U	Server7	50000	5000000						3	0.276
2016-06-27T12:02:03	Jason U	Server7	50000	5000000						3	0.276
2017-03-28T17:09:42	Ensigma	vps_sing	50000	5000000						3	0.276
2017-08-23T12:26:11	Lelikoid	QH	50000	5000000						3	0.276
2018-01-02T02:02:20	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2018-09-02T07:58:27	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2019-10-26T03:21:48	monsted	rootweiler	50000	5000000						3	0.276
2020-05-21T06:02:28	Summy	CHB	50000	5000000						3	0.276
2020-06-09T10:42:14	GAN	KL-10	50000	5000000	61076049240061887173321	75.693	1	2		1	0.092

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-05-16T00:00:00	ANONYMOUS	v4_computers	BE3EB459067E3E4B	0.173
2018-06-02T00:43:08	kkmrkkblmbrbk	old	BE3EB459067E3E4B	0.173

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-06-10T21:50:43

CrypticClue

cruncher

61076049240061887173321

07E0942D2F7FE284

2020-06-12T03:02:16

Luigi Morelli

9800X

61076049240061887173321

07E0942D2F7FE284

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)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-06-12T03:02:16+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