M1892497 Mersenne number exponent details

Residue

Status

L-L

982B1DAE4DC04B4E

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	15.7009	68.6567%	275000	6000000	0.0462	3.9339%	15.7471	69.8897%	1.2330%
PrimeNet	2⁵⁷	0.0101	63.1579%	9000	160000	0.0014	3.0358%	0.0115	64.2763%	1.1185%
GPU72	2⁶¹	0.1623	65.5738%	10000	160000	0.0014	1.7260%	0.1637	66.1680%	0.5942%
Difference	+6	+15.5386	+3.0829%	+265000	+5840000	+0.0447	+2.2079%	+15.5833	+3.7218%	+3.7218%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

15.7009

68.6567%

275000

6000000

0.0462

3.9339%

15.7471

69.8897%

1.2330%

PrimeNet

2⁵⁷

0.0101

63.1579%

9000

160000

0.0014

3.0358%

0.0115

64.2763%

1.1185%

GPU72

2⁶¹

0.1623

65.5738%

10000

160000

0.0014

1.7260%

0.1637

66.1680%

0.5942%

Difference

+15.5386

+3.0829%

+265000

+5840000

+0.0447

+2.2079%

+15.5833

+3.7218%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1892497	798632752404542822388632039	27	89.368	210999740661291093827 7 × 1367 × 1667 × 13227560820449	2014-07-04	1667	13227560820449	88,429,369	56,690	105,881

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1892497

798632752404542822388632039

89.368

210999740661291093827
7 × 1367 × 1667 × 13227560820449

2014-07-04

1667

13227560820449

88,429,369

56,690

105,881

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-01-20T19:08:00	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.934%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-01-20T19:08:00

markr

tiny

275000

6000000

0.046

-

-

3.934%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2010-04-11T15:59:00	Architects Cubed	m1_76l	2⁶⁰	2⁶¹		-	-	0.081	-	-
2011-03-08T05:18:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.843	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.856 GHz-days
Estimated T-Level:	24.607

Digits	B1	Curves	Complete	FacMiss
20	11000	258 / 100	2.580	7.480%
25	50000	258 / 280	0.921	39.729%

New Calculation Method

Total ECM effort:	19.856 GHz-days
Estimated T-Level:	24.607

Digits	B1	Complete	FacMiss
20	11000	8.814	0.015%
25	50000	0.799	44.988%
30	250000	0.049	95.179%
35	1000000	0.002	99.773%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		36	2.496
50000	5000000	798632752404542822388632039	1	0.069
50000	6600000		214	16.74
50000	6750000		7	0.553

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-06T02:48:00	ClknGo Software	plms3	50000	5000000						3	0.208
2009-07-26T16:15:00	SubPrime	abd1	50000	5000000						3	0.208
2011-03-26T16:21:00	Lupo	yorick	50000	5000000						3	0.208
2012-10-06T08:29:00	Bud	annan	50000	5000000						3	0.208
2013-10-18T05:02:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2014-07-04T18:18:00	Chang Chia-Tche	exbpc13	50000	5000000	798632752404542822388632039	89.368	1	2		1	0.069
2021-01-15T20:03:41	Chang Chia-Tche	exbpc13	50000	5000000						7	0.485
2021-04-10T20:28:28	Chang Chia-Tche	exbpc13	50000	5000000						7	0.485
2021-07-24T21:29:19	Daniil Tsarkov	9900KF	50000	5000000						7	0.485
2021-10-06T06:21:00	happy5214	Focus	50000	6750000						7	0.553
2021-12-03T11:51:20	TJAOI	Manual testing	50000	6600000						214	16.74

date	userid	compid	res64	spent (GHz-days)
1999-03-15T00:00:00	ANONYMOUS	v4_computers	982B1DAE4DC04B4E	0.103

date

userid

compid

res64

spent (GHz-days)

1999-03-15T00:00:00

ANONYMOUS

v4_computers

982B1DAE4DC04B4E

0.103

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

B1 = 275000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

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