M29726369 Mersenne number exponent details

Residue

Status

L-L

CC7F9ACDCAF581D8

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	2⁷⁵	257.4115	66.6667%	1030000	51495000	5.7086	4.5232%	263.1201	68.1744%	1.5077%
PrimeNet	2⁶⁷	0.9996	62.6866%	130000	5000000	0.5971	4.9020%	1.5967	64.5157%	1.8291%
GPU72	2⁷¹	16.0826	64.7887%	200000	6000000	0.7794	3.5554%	16.8620	66.0406%	1.2519%
Difference	+4	+241.3288	+1.8779%	+830000	+45495000	+4.9292	+0.9678%	+246.2580	+2.1338%	+0.2558%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

257.4115

66.6667%

1030000

51495000

5.7086

4.5232%

263.1201

68.1744%

1.5077%

PrimeNet

2⁶⁷

0.9996

62.6866%

130000

5000000

0.5971

4.9020%

1.5967

64.5157%

1.8291%

GPU72

2⁷¹

16.0826

64.7887%

200000

6000000

0.7794

3.5554%

16.8620

66.0406%

1.2519%

Difference

+241.3288

+1.8779%

+830000

+45495000

+4.9292

+0.9678%

+246.2580

+2.1338%

+0.2558%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
29726369	7966538435500494141983949404255477468125638593	46	152.481	133997839350989926519178131110723234784 2⁵ × 7 × 1619 × 67943 × 69539 × 118669 × 402487 × 553073 × 2960453	2021-10-16	553073	2960453	4.685e+9	1.0335	1.7001

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

29726369

7966538435500494141983949404255477468125638593

152.481

133997839350989926519178131110723234784
2⁵ × 7 × 1619 × 67943 × 69539 × 118669 × 402487 × 553073 × 2960453

2021-10-16

553073

2960453

4.685e+9

1.0335

1.7001

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2005-05-28T00:00:00	curtisc	v4_computers	425000	425000		-		-	-	0.642	-	-	1.090%
2021-10-16T17:15:15	Architects Cubed	usbenv	1030000	51495000			7966538435500494141983949404255477468125638593	46	152.481	5.709	61.93	11.42	4.523%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-01-14T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵²		-	-	2.01828e-5	-	-
2001-09-16T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2005-05-12T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁸		-	-	2.005	-	-
2012-02-07T02:31:00	Xyzzy	Manual testing	2⁶⁸	2⁶⁹		-	-	2.011	-	-
2012-02-25T22:45:00	Jerry Hallett	Manual testing	2⁶⁹	2⁷⁰		-	-	4.022	-	-
2018-06-20T17:20:07	monst	Manual testing	2⁷⁰	2⁷¹		-	-	8.044	-	-
2021-08-22T11:16:11	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	16.09	-	-
2021-08-25T16:04:14	TheJudger	Manual testing	2⁷²	2⁷³		-	-	32.18	-	-
2021-09-10T19:20:38	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	64.35	-	-
2021-10-04T17:27:54	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	128.7	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-06-19T00:00:00	curtisc	v4_computers	CC7F9ACDCAF581D8	30.96
2013-06-05T17:50:00	markr	thebox	CC7F9ACDCAF581D8	30.96

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 = 1030000, B2 = 51495000 (P-1 stage 2)

B1 = 1030000 (P-1 stage 1)

B1 = 425000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁵⁶

2⁵²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

2¹⁵⁰

2¹⁶⁰

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