M1492649 Mersenne number exponent details

Residue

Status

L-L

690333B4C293B4E6

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	19.9068	68.6567%	500000	15000000	0.0835	4.9454%	19.9904	70.2068%	1.5501%
PrimeNet	2⁵⁷	0.0129	63.1579%	6500	100000	0.0008	2.3381%	0.0136	64.0193%	0.8614%
GPU72	2⁶¹	0.2058	65.5738%	6000	50000	0.0005	0.9469%	0.2063	65.8998%	0.3260%
Difference	+6	+19.7010	+3.0829%	+494000	+14950000	+0.0830	+3.9985%	+19.7840	+4.3070%	+4.3070%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

19.9068

68.6567%

500000

15000000

0.0835

4.9454%

19.9904

70.2068%

1.5501%

PrimeNet

2⁵⁷

0.0129

63.1579%

6500

100000

0.0008

2.3381%

0.0136

64.0193%

0.8614%

GPU72

2⁶¹

0.2058

65.5738%

6000

50000

0.0005

0.9469%

0.2063

65.8998%

0.3260%

Difference

+19.7010

+3.0829%

+494000

+14950000

+0.0830

+3.9985%

+19.7840

+4.3070%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1492649	53256719055442963559	20	65.530	17839665941371 131 × 136180656041	2014-09-19	131	136180656041	6.9369	480.54	897.51

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1492649

53256719055442963559

65.530

17839665941371
131 × 136180656041

2014-09-19

131

136180656041

6.9369

480.54

897.51

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-29T00:00:00	Team Prime Rib	v4_computers	20000	280000		-		-	-	0.002	-	-	0.976%
2011-12-07T02:25:00	markr	tiny	275000	6000000		-		-	-	0.038	-	-	3.813%
2016-03-17T19:15:24	alpertron	Manual testing	500000	15000000	12	-		-	-	0.084	-	-	4.945%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.026	-	-
2022-03-08T19:08:32	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.077	-	-
2010-05-06T00:20:00	Architects Cubed	m1_fw	2⁶⁰	2⁶¹		-	-	0.103	-	-
2011-05-28T03:14:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	1.069	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	31.104 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	301 / 100	3.010	4.855%
25	50000	301 / 280	1.075	34.064%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	31.104 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	12.263	0.000%
25	50000	1.390	24.916%
30	250000	0.116	89.004%
35	1000000	0.008	99.198%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		250	13.92
50000	5000000	53256719055442963559	1	0.056
250000	40000000		50	17.13

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-02-12T20:14:00	Team_Bundu	bundu3	50000	5000000						3	0.167
2009-03-18T21:01:00	Sturle Sunde	PRECZC51100MQ	50000	5000000						3	0.167
2010-01-18T12:24:00	BOM	C2Q-2667	50000	5000000						3	0.167
2011-06-01T07:00:00	James Hintz	ryan	50000	5000000						3	0.167
2012-09-04T00:13:00	Brett Walker		50000	5000000						3	0.167
2013-06-25T06:36:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.167
2014-02-10T02:49:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.167
2014-09-19T00:38:00	Chang Chia-Tche	exbpc13	50000	5000000	53256719055442963559	65.530	1	2		1	0.056
2019-05-03T14:23:09	TJAOI	Manual testing	50000	5000000						229	12.75
2022-02-10T10:44:32	TJAOI	Manual testing	250000	40000000						50	17.13

date	userid	compid	res64	spent (GHz-days)
1998-11-21T00:00:00	ANONYMOUS	v4_computers	690333B4C293B4E6	0.067

date

userid

compid

res64

spent (GHz-days)

1998-11-21T00:00:00

ANONYMOUS

v4_computers

690333B4C293B4E6

0.067

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)

B1 = 20000, B2 = 280000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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