M2480717 Mersenne number exponent details

Residue

Status

L-L

A31BDD7382CF7ECE

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	2⁶⁸	24.0273	67.6471%	2382500	85770100	0.6965	7.5480%	24.7238	70.0891%	2.4420%
PrimeNet	2⁵⁹	0.0310	62.7119%	10000	180000	0.0019	2.5342%	0.0329	63.6568%	0.9450%
GPU72	2⁶³	0.6434	65.0794%	11000	160000	0.0019	1.3799%	0.6453	65.5612%	0.4819%
Difference	+5	+23.3839	+2.5677%	+2371500	+85610100	+0.6946	+6.1681%	+24.0785	+4.5278%	+4.5278%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

24.0273

67.6471%

2382500

85770100

0.6965

7.5480%

24.7238

70.0891%

2.4420%

PrimeNet

2⁵⁹

0.0310

62.7119%

10000

180000

0.0019

2.5342%

0.0329

63.6568%

0.9450%

GPU72

2⁶³

0.6434

65.0794%

11000

160000

0.0019

1.3799%

0.6453

65.5612%

0.4819%

Difference

+23.3839

+2.5677%

+2371500

+85610100

+0.6946

+6.1681%

+24.0785

+4.5278%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2480717	715752662696699903155673383	27	89.210	144263263946814550623 3 × 383 × 10709 × 24439 × 479737177	2020-05-25	24439	479737177	80,106,838	2.6311	4.9097

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2480717

715752662696699903155673383

89.210

144263263946814550623
3 × 383 × 10709 × 24439 × 479737177

2020-05-25

24439

479737177

80,106,838

2.6311

4.9097

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-07-06T00:00:00	ANONYMOUS	v4_computers	100000	1000000		-		-	-	0.015	-	-	2.025%
2014-09-23T20:52:00	Jocelyn Larouche	Manual testing	125873	125873		-		-	-	0.013	-	-	0.938%
2014-10-31T23:15:00	mikr	MSI	2382500	85770100		-		-	-	0.697	-	-	7.548%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-05-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.015	-	-
1999-05-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:15	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-15T03:10:00	Sturle Sunde	scarpia.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-06-09T06:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.124	-	-
2013-01-23T08:29:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.396	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.791	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.506	-	-
2015-10-29T11:36:22	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.012	-	-
2017-07-22T20:28:37	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.025	-	-
2019-07-17T09:51:51	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.05	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	3.857 GHz-days
Estimated T-Level:	2.100

Digits	B1	Curves	Complete	FacMiss
20	11000	42 / 100	0.420	65.566%
25	50000	42 / 280	0.150	86.048%

New Calculation Method

Total ECM effort:	3.857 GHz-days
Estimated T-Level:	2.100

Digits	B1	Complete	FacMiss
20	11000	1.355	25.799%
25	50000	0.122	88.475%
30	250000	0.008	99.249%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		39	3.581
50000	5000000	715752662696699903155673383	3	0.275

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-11T13:32:00	Smurgs	Praca	50000	5000000						3	0.275
2010-03-24T17:01:00	James Classen	towerofart	50000	5000000						3	0.275
2012-06-08T17:16:00	Jacques MOLNE	Crazy_64	50000	5000000						3	0.275
2014-02-04T05:29:00	Andy Incline	Office-PC	50000	5000000						3	0.275
2015-07-19T19:25:00	guru	w6	50000	5000000						3	0.275
2016-02-25T13:42:39	arnaud	CHAMOT09	50000	5000000						3	0.275
2016-06-23T18:42:58	Bruce	test	50000	5000000						3	0.275
2017-02-27T06:14:07	Bruce	eleven	50000	5000000						3	0.275
2017-08-07T11:18:04	AnthonyRais	Win10Test	50000	5000000						3	0.275
2017-12-21T23:27:01	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.275
2018-07-26T07:47:55	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.275
2019-10-05T13:02:43	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.275
2020-05-11T05:51:36	mnd9	touchdown	50000	5000000						3	0.275
2020-05-25T13:32:50	mnd9	75203	50000	5000000	715752662696699903155673383	89.210	3	2	1754789502776050	3	0.275

date	userid	compid	res64	spent (GHz-days)
1998-05-16T00:00:00	ANONYMOUS	v4_computers	A31BDD7382CF7ECE	0.172
1999-07-27T00:00:00	Stephen Wood	v4_computers	A31BDD7382CF7ECE	0.172
2018-05-30T08:54:10	kkmrkkblmbrbk	old	A31BDD7382CF7ECE	0.172

date

userid

compid

res64

spent (GHz-days)

1998-05-16T00:00:00

ANONYMOUS

v4_computers

A31BDD7382CF7ECE

0.172

1999-07-27T00:00:00

Stephen Wood

v4_computers

A31BDD7382CF7ECE

0.172

2018-05-30T08:54:10

kkmrkkblmbrbk

old

A31BDD7382CF7ECE

0.172

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 = 100000, B2 = 1000000 (P-1 stage 2)

B1 = 125873 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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