M1882579 Mersenne number exponent details

Residue

Status

L-L

C910CC12E1086EF8

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	2⁶⁷	15.7836	68.6567%	500000	15000000	0.1015	5.0859%	15.8851	70.2508%	1.5941%
PrimeNet	2⁵⁷	0.0102	63.1579%	9000	160000	0.0014	3.0329%	0.0116	64.2753%	1.1174%
GPU72	2⁶¹	0.1632	65.5738%	10000	150000	0.0014	1.6919%	0.1646	66.1562%	0.5825%
Difference	+6	+15.6205	+3.0829%	+490000	+14850000	+0.1001	+3.3940%	+15.7205	+4.0946%	+4.0946%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

15.7836

68.6567%

500000

15000000

0.1015

5.0859%

15.8851

70.2508%

1.5941%

PrimeNet

2⁵⁷

0.0102

63.1579%

9000

160000

0.0014

3.0329%

0.0116

64.2753%

1.1174%

GPU72

2⁶¹

0.1632

65.5738%

10000

150000

0.0014

1.6919%

0.1646

66.1562%

0.5825%

Difference

+15.6205

+3.0829%

+490000

+14850000

+0.1001

+3.3940%

+15.7205

+4.0946%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1882579	102441608387098241993	21	66.473	27207784742924 2² × 43 × 2953 × 53567489	2016-07-10	2953	53567489	13.694	0.2298	0.4288

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1882579

102441608387098241993

66.473

27207784742924
2² × 43 × 2953 × 53567489

2016-07-10

2953

53567489

13.694

0.2298

0.4288

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-01-15T06:11:00	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.931%
2015-10-07T17:34:25	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	5.086%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-01-15T06:11:00

markr

tiny

275000

6000000

0.046

-

-

3.931%

2015-10-07T17:34:25

Bruno Victal

5820K-linux

500000

15000000

0.101

-

-

5.086%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:28:56	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.082	-	-
2010-04-01T14:41:00	Architects Cubed	Manual testing	2⁶⁰	2⁶¹		-	-	0.082	-	-
2016-02-23T16:28:56	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.163	-	-
2011-03-08T05:15:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.848	-	-
2016-02-23T16:28:56	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.521	-	-
2015-05-09T22:18:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.043	-	-
2015-05-09T22:18:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	1.985	-	-
2015-09-12T12:52:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.969	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	20.304 GHz-days
Estimated T-Level:	24.732

Digits	B1	Curves	Complete	FacMiss
20	11000	265 / 100	2.650	6.972%
25	50000	265 / 280	0.946	38.747%

New Calculation Method

Total ECM effort:	20.304 GHz-days
Estimated T-Level:	24.732

Digits	B1	Complete	FacMiss
20	11000	9.036	0.012%
25	50000	0.818	44.110%
30	250000	0.051	95.063%
35	1000000	0.002	99.767%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		44	3.049
50000	5000000	102441608387098241993	2	0.139
50000	6600000		219	17.12

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-30T08:02:00	Lelikoid	QH	50000	5000000						3	0.208
2009-07-23T08:18:00	James Hintz	14_071509	50000	5000000						3	0.208
2011-03-21T21:14:00	Beat Bucheli	I7	50000	5000000						3	0.208
2012-11-23T01:51:00	Donna Noble	Opt6128x4x4	50000	5000000						3	0.208
2013-10-10T00:41:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2014-06-24T16:20:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2015-04-08T04:46:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2015-12-02T13:05:13	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2016-03-02T14:18:03	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2016-04-16T15:02:26	Bruce	DESK3	50000	5000000						3	0.208
2016-07-10T04:15:50	Chang Chia-Tche	exbpc13	50000	5000000	102441608387098241993	66.473	2	2		2	0.139
2021-07-25T17:08:28	MarkS	desktop-i7	50000	5000000						7	0.485
2021-10-12T15:22:40	_p95holder_	TFL17_PRPt12pE_k	50000	5000000						7	0.485
2021-10-14T13:12:57	TJAOI	Manual testing	50000	6600000						219	17.12

date	userid	compid	res64	spent (GHz-days)
1998-12-21T00:00:00	ANONYMOUS	v4_computers	C910CC12E1086EF8	0.102
1999-03-15T00:00:00	curtisc	v4_computers	C910CC12E1086EF8	0.102
2016-06-02T10:52:59	MadPoo	Manual testing	C910CC12E1086EF8	0.102

date

userid

compid

res64

spent (GHz-days)

1998-12-21T00:00:00

ANONYMOUS

v4_computers

C910CC12E1086EF8

0.102

1999-03-15T00:00:00

curtisc

v4_computers

C910CC12E1086EF8

0.102

2016-06-02T10:52:59

MadPoo

Manual testing

C910CC12E1086EF8

0.102

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 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 275000, B2 = 6000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 275000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

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