M2245979 Mersenne number exponent details

Residue

Status

L-L

DCF3FFDDF595E268

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	26.5385	67.6471%	1000000	10000000	0.1421	4.6759%	26.6806	69.1598%	1.5128%
PrimeNet	2⁵⁸	0.0171	62.0690%	10000	180000	0.0018	2.8740%	0.0189	63.1591%	1.0901%
GPU72	2⁶²	0.2735	64.5161%	11000	190000	0.0020	1.6594%	0.2755	65.1049%	0.5888%
Difference	+6	+26.2649	+3.1309%	+989000	+9810000	+0.1401	+3.0165%	+26.4051	+4.0549%	+4.0549%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

26.5385

67.6471%

1000000

10000000

0.1421

4.6759%

26.6806

69.1598%

1.5128%

PrimeNet

2⁵⁸

0.0171

62.0690%

10000

180000

0.0018

2.8740%

0.0189

63.1591%

1.0901%

GPU72

2⁶²

0.2735

64.5161%

11000

190000

0.0020

1.6594%

0.2755

65.1049%

0.5888%

Difference

+26.2649

+3.1309%

+989000

+9810000

+0.1401

+3.0165%

+26.4051

+4.0549%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2245979	415530410951523070991	21	68.494	92505408766405 5 × 2754893 × 6715717	2020-04-30	2754893	6715717	34.633	0.2832	0.5345

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2245979

415530410951523070991

68.494

92505408766405
5 × 2754893 × 6715717

2020-04-30

2754893

6715717

34.633

0.2832

0.5345

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-01-18T00:04:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.517%
2012-01-07T14:05:00	Squeeky_Squirrel	P4_2600	150000	3262500		-		-	-	0.030	-	-	2.880%
2015-12-05T07:06:24	Alexander Dubrovin	Manual testing	1000000	10000000	12	-		-	-	0.142	-	-	4.676%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:09	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.068	-	-
2009-01-11T10:30:00	Sturle Sunde	gibsy.ifi	2⁶⁰	2⁶¹		-	-	0.068	-	-
2012-05-03T17:47:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.137	-	-
2013-12-04T02:15:00	LaurV	Manual testing	2⁶²	2⁶³		-	-	0.437	-	-
2015-03-10T10:44:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.874	-	-
2015-03-10T10:44:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.664	-	-
2015-10-27T09:37:29	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.327	-	-
2017-01-05T21:20:48	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.654	-	-
2019-04-01T13:34:46	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.31	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.580 GHz-days
Estimated T-Level:	3.250

Digits	B1	Curves	Complete	FacMiss
20	11000	65 / 100	0.650	52.034%
25	50000	65 / 280	0.232	79.250%

New Calculation Method

Total ECM effort:	5.580 GHz-days
Estimated T-Level:	3.250

Digits	B1	Complete	FacMiss
20	11000	2.097	12.285%
25	50000	0.190	82.737%
30	250000	0.012	98.840%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		63	5.408
50000	5000000	415530410951523070991	2	0.172

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-26T22:54:00	S36049	Wolle3	50000	5000000						3	0.258
2009-12-27T14:35:00	James Hintz	ryan	50000	5000000						3	0.258
2011-10-17T03:23:00	S36049	Wolle5	50000	5000000						3	0.258
2013-07-08T15:54:00	hiems	Laptop	50000	5000000						3	0.258
2015-03-27T19:08:00	Bruce	desk16	50000	5000000						3	0.258
2016-03-26T17:28:49	Bruce	Desk6	50000	5000000						3	0.258
2016-04-12T18:32:06	Bruce	Desk6	50000	5000000						3	0.258
2016-07-16T11:44:02	Bruce	Desk6	50000	5000000						3	0.258
2016-12-02T18:10:19	Bruce	Desk6	50000	5000000						3	0.258
2017-06-26T13:06:09	Bruce	Desk6	50000	5000000						3	0.258
2017-12-10T01:13:33	Bruce	Desk6	50000	5000000						3	0.258
2018-05-13T10:15:26	Bruce	Desk6	50000	5000000						3	0.258
2019-06-09T16:18:19	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.258
2020-02-19T21:20:59	Nesowa	6700T	50000	5000000						3	0.258
2020-02-26T11:28:51	Keysarecool	Boat_Anchor	50000	5000000						3	0.258
2020-03-04T07:30:15	mnd9	50869b	50000	5000000						3	0.258
2020-03-11T02:54:17	mnd9	kitchen	50000	5000000						3	0.258
2020-03-19T03:06:14	Alvin Bunk	BADCAT	50000	5000000						3	0.258
2020-03-30T02:50:52	kracker	O0	50000	5000000						3	0.258
2020-04-10T21:44:19	Keysarecool	HPLaptop	50000	5000000						3	0.258
2020-04-22T23:41:57	mnd9	fb	50000	5000000						3	0.258
2020-04-30T09:31:09	mnd9	eileen	50000	5000000	415530410951523070991	68.494	2	2	4524630660660220	2	0.172

date	userid	compid	res64	spent (GHz-days)
2002-06-09T00:00:00	ANONYMOUS	v4_computers	DCF3FFDDF595E268	0.148
2002-06-23T00:00:00	ANONYMOUS	v4_computers	DCF3FFDDF595E268	0.148
2016-05-07T00:21:10	kkmrkkblmbrbk	old	DCF3FFDDF595E268	0.148

date

userid

compid

res64

spent (GHz-days)

2002-06-09T00:00:00

ANONYMOUS

v4_computers

DCF3FFDDF595E268

0.148

2002-06-23T00:00:00

ANONYMOUS

v4_computers

DCF3FFDDF595E268

0.148

2016-05-07T00:21:10

kkmrkkblmbrbk

old

DCF3FFDDF595E268

0.148

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 = 1000000, B2 = 10000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 150000, B2 = 3262500 (P-1 stage 2)

B1 = 150000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

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