M1257017 Mersenne number exponent details

Residue

Status

L-L

F9C60DE8EDB82272

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	23.6384	68.6567%	300000	10000000	0.0381	4.1862%	23.6765	69.9688%	1.3121%
PrimeNet	2⁵⁶	0.0076	62.5000%	5500	90000	0.0005	2.4392%	0.0081	63.4147%	0.9147%
GPU72	2⁶⁰	0.1222	65.0000%	5000	32000	0.0003	0.8565%	0.1225	65.2998%	0.2998%
Difference	+7	+23.5163	+3.6567%	+295000	+9968000	+0.0378	+3.3297%	+23.5540	+4.6690%	+4.6690%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

23.6384

68.6567%

300000

10000000

0.0381

4.1862%

23.6765

69.9688%

1.3121%

PrimeNet

2⁵⁶

0.0076

62.5000%

5500

90000

0.0005

2.4392%

0.0081

63.4147%

0.9147%

GPU72

2⁶⁰

0.1222

65.0000%

5000

32000

0.0003

0.8565%

0.1225

65.2998%

0.2998%

Difference

+23.5163

+3.6567%

+295000

+9968000

+0.0378

+3.3297%

+23.5540

+4.6690%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1257017	3036278758019240959	19	61.397	1207731780087 3 × 7 × 1601 × 35921947	2011-05-09	1601	35921947	0.2966	0.0900	0.1680

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1257017

3036278758019240959

61.397

1207731780087
3 × 7 × 1601 × 35921947

2011-05-09

1601

35921947

0.2966

0.0900

0.1680

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-10-07T00:00:00	ANONYMOUS	v4_computers	10000	10000		-		-	-	0.000	-	-	0.142%
2003-09-21T00:00:00	Team Prime Rib	v4_computers	10000	1000000		-		-	-	0.003	-	-	1.002%
2016-03-17T19:03:48	alpertron	Manual testing	300000	10000000	12	-		-	-	0.038	-	-	4.186%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.015	-	-
2003-06-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.031	-	-
2022-03-07T17:32:04	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.092	-	-
2009-02-14T13:38:00	Sturle Sunde	gouffy.ifi	2⁶⁰	2⁶¹		-	-	0.122	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	20.497 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	325 / 100	3.250	3.815%
25	50000	325 / 280	1.161	31.261%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	20.497 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	15.208	0.000%
25	50000	1.667	18.888%
30	250000	0.137	87.162%
35	1000000	0.009	99.076%

ECM Summary

B1	B2	factor	curves	GHz-days
		3036278758019240959	1	0.00000e+0
50000	5000000		281	10.78
250000	35000000		44	9.71

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-11-09T19:51:00	Chad Davis	Bayes	50000	5000000						1	0.038
2008-08-26T23:09:00	Sturle Sunde	v21	50000	5000000						3	0.115
2009-02-03T01:04:00	Sturle Sunde	v21	50000	5000000						3	0.115
2009-07-06T12:40:00	SubPrime	c2d0	50000	5000000						3	0.115
2009-10-15T05:06:00	symallad	old_laptop	50000	5000000						3	0.115
2010-03-23T06:46:00	unconnected	can-01	50000	5000000						3	0.115
2010-12-23T15:50:00	greensinoz	giopa01	50000	5000000						3	0.115
2011-05-09T14:41:00	Xyzzy	Manual testing			3036278758019240959	61.397		1		1	-
2017-12-15T15:34:30	TJAOI	Manual testing	50000	5000000						121	4.644
2018-10-26T10:43:24	TJAOI	Manual testing	50000	5000000						141	5.411
2021-06-26T09:31:57	TJAOI	Manual testing	250000	35000000						44	9.71

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 = 300000, B2 = 10000000 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

B1 = 10000, B2 = 1000000 (P-1 stage 2)

B1 = 10000 (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