M4664801 Mersenne number exponent details

Residue

Status

L-L

70AB9FA093531088

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷²	205.0106	68.0556%	1988203	61634303	1.0000	5.3401%	206.0106	69.7614%	1.7059%
PrimeNet	2⁶¹	0.0659	62.2951%	20000	400000	0.0078	3.1180%	0.0736	63.4707%	1.1756%
GPU72	2⁶⁵	1.5640	64.6154%	30000	600000	0.0117	2.2298%	1.5756	65.4044%	0.7890%
Difference	+7	+203.4466	+3.4402%	+1958203	+61034303	+0.9883	+3.1103%	+204.4350	+4.3570%	+4.3570%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷²

205.0106

68.0556%

1988203

61634303

1.0000

5.3401%

206.0106

69.7614%

1.7059%

PrimeNet

2⁶¹

0.0659

62.2951%

20000

400000

0.0078

3.1180%

0.0736

63.4707%

1.1756%

GPU72

2⁶⁵

1.5640

64.6154%

30000

600000

0.0117

2.2298%

1.5756

65.4044%

0.7890%

Difference

+203.4466

+3.4402%

+1958203

+61034303

+0.9883

+3.1103%

+204.4350

+4.3570%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-09-04T03:14:00	Carsten Kossendey	durandal	25000	375000		-		-	-	0.008	-	-	0.680%
2012-02-16T21:02:00	Squeeky_Squirrel	T7500_2200	110000	2090000		-		-	-	0.042	-	-	1.695%
2018-02-12T01:36:30	Ismo Laitela	6600K	1988203	61634303	12	-		-	-	1.000	-	-	5.340%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2002-08-31T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.066	-	-
2010-07-14T00:13:00	markr	ut	2⁶¹	2⁶²		-	-	0.066	-	-
2011-12-11T21:16:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.342	-	-
2016-02-23T16:38:57	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.210	-	-
2015-02-09T23:52:00	Jayder	Manual testing	2⁶³	2⁶⁴		-	-	0.421	-	-
2015-02-10T19:36:00	monst	Manual testing	2⁶⁴	2⁶⁵		-	-	0.801	-	-
2015-07-08T21:07:00	snme2pm1	Manual testing	2⁶⁵	2⁶⁶		-	-	1.602	-	-
2018-07-16T22:10:55	BloodERazor	Manual testing	2⁶⁶	2⁶⁷		-	-	3.204	-	-
2018-10-18T01:15:15	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	6.408	-	-
2021-03-20T23:56:30	-Anonymous-	Manual testing	2⁶⁸	2⁶⁹		-	-	12.82	-	-
2021-03-20T23:56:30	-Anonymous-	Manual testing	2⁶⁹	2⁷⁰		-	-	25.63	-	-
2021-03-20T23:56:30	-Anonymous-	Manual testing	2⁷⁰	2⁷¹		-	-	51.26	-	-
2021-03-23T12:16:11	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	102.5	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	1.771 GHz-days
Estimated T-Level:	0.450

Digits	B1	Curves	Complete	FacMiss
20	11000	9 / 100	0.090	91.352%
25	50000	9 / 280	0.032	96.831%

New Calculation Method

Total ECM effort:	1.771 GHz-days
Estimated T-Level:	0.450

Digits	B1	Complete	FacMiss
20	11000	0.346	70.740%
25	50000	0.032	96.848%
30	250000	0.002	99.798%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		9	1.771

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2010-02-05T02:04:00	StKl	Workstation	50000	5000000						3	0.590
2013-09-02T12:19:00	exhopp	9007	50000	5000000						3	0.590
2017-01-07T03:59:47	bayanne	iMac	50000	5000000						3	0.590

date	userid	compid	res64	spent (GHz-days)
1998-06-01T00:00:00	ANONYMOUS	v4_computers	70AB9FA093531088	0.614

date

userid

compid

res64

spent (GHz-days)

1998-06-01T00:00:00

ANONYMOUS

v4_computers

70AB9FA093531088

0.614

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 = 1988203, B2 = 61634303 (P-1 stage 2)

B1 = 1988203 (P-1 stage 1)

B1 = 110000, B2 = 2090000 (P-1 stage 2)

B1 = 110000 (P-1 stage 1)

B1 = 25000, B2 = 375000 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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