M1150921 Mersenne number exponent details

Residue

Status

L-L

60CCF4D89DCDDA1B

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	25.8175	68.6567%	300000	10000000	0.0356	4.1389%	25.8531	69.9540%	1.2973%
PrimeNet	2⁵⁶	0.0083	62.5000%	5000	70000	0.0004	2.1633%	0.0087	63.3112%	0.8112%
GPU72	2⁶⁰	0.1334	65.0000%	5000	26000	0.0003	0.7710%	0.1337	65.2698%	0.2698%
Difference	+7	+25.6841	+3.6567%	+295000	+9974000	+0.0353	+3.3679%	+25.7194	+4.6841%	+4.6841%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

25.8175

68.6567%

300000

10000000

0.0356

4.1389%

25.8531

69.9540%

1.2973%

PrimeNet

2⁵⁶

0.0083

62.5000%

5000

70000

0.0004

2.1633%

0.0087

63.3112%

0.8112%

GPU72

2⁶⁰

0.1334

65.0000%

5000

26000

0.0003

0.7710%

0.1337

65.2698%

0.2698%

Difference

+25.6841

+3.6567%

+295000

+9974000

+0.0353

+3.3679%

+25.7194

+4.6841%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1150921	9790156187770459031	19	63.086	4253183401715 5 × 19 × 44770351597	2008-06-13	19	44770351597	2.9283	104.83	195.79

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1150921

9790156187770459031

63.086

4253183401715
5 × 19 × 44770351597

2008-06-13

44770351597

2.9283

104.83

195.79

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-11-15T00:00:00	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.004	-	-	1.743%
2016-03-17T19:01:57	alpertron	Manual testing	300000	10000000	12	-		-	-	0.036	-	-	4.139%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-07-12T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.008	-	-
2001-11-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.017	-	-
2003-05-04T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.033	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.676 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	323 / 100	3.230	3.892%
25	50000	323 / 280	1.154	31.486%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	17.676 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	14.731	0.000%
25	50000	1.613	19.937%
30	250000	0.131	87.717%
35	1000000	0.009	99.131%

ECM Summary

B1	B2	factor	curves	GHz-days
		9790156187770459031	1	0.00000e+0
50000	5000000		279	9.88
250000	25000000		44	7.793

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-10-09T15:21:00	Chad Davis	Bayes	50000	5000000						1	0.035
2008-06-13T11:38:00	Team_Bundu	bundu4			9790156187770459031	63.086		1		1	-
2017-09-01T10:40:48	TJAOI	Manual testing	50000	5000000						137	4.853
2018-09-07T12:10:47	TJAOI	Manual testing	50000	5000000						141	4.995
2020-08-21T10:52:00	TJAOI	Manual testing	250000	25000000						44	7.793

date	userid	compid	res64	spent (GHz-days)
2001-06-23T00:00:00	ANONYMOUS	v4_computers	60CCF4D89DCDDA1B	0.034

date

userid

compid

res64

spent (GHz-days)

2001-06-23T00:00:00

ANONYMOUS

v4_computers

60CCF4D89DCDDA1B

0.034

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-29T07:15:48

Oliver Kruse

GTX-0

9790156187770459031

CDCB7B006C54C6__

2017-10-17T06:02:59

Oliver Kruse

Threadripper

9790156187770459031

CDCB7B006C54C6__

2018-01-02T15:41:38

ATH

ec2-1xf

9790156187770459031

CDCB7B006C54C6__

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 = 50000, B2 = 1000000 (P-1 stage 2)

B1 = 50000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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