M119613059 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

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	2⁷⁷	255.8932	64.9351%	581000	26359620	13.2952	3.6284%	269.1884	66.2074%	1.2723%
Target	2⁷⁶	127.9458	64.4737%	800000	28000000	15.2802	4.2162%	143.2261	65.9715%	1.4979%
Difference	+1	+127.9473	+0.4614%	-219000	-1640380	-1.9850	-0.5878%	+125.9623	+0.2358%	-0.2256%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁷

255.8932

64.9351%

581000

26359620

13.2952

3.6284%

269.1884

66.2074%

1.2723%

Target

2⁷⁶

127.9458

64.4737%

800000

28000000

15.2802

4.2162%

143.2261

65.9715%

1.4979%

Difference

+127.9473

+0.4614%

-219000

-1640380

-1.9850

-0.5878%

+125.9623

+0.2358%

-0.2256%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
119613059	26780949923233612476216809292789308519	38	124.333	111948269474629908412495366801 23 × 347 × 3613 × 16033 × 32353 × 408251 × 18333083	2023-01-01	408251	18333083	1.519e+9	9.2732	12.492

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

119613059

26780949923233612476216809292789308519

124.333

111948269474629908412495366801
23 × 347 × 3613 × 16033 × 32353 × 408251 × 18333083

2023-01-01

408251

18333083

1.519e+9

9.2732

12.492

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-01-01T13:55:46	tottenhoff	i3-8100-01	581000	26359620			26780949923233612476216809292789308519	38	124.333	13.30	1,105	26.59	3.628%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-05-16T00:11:00	subgenius	gigacare	2⁶³	2⁶⁴		-	-	0.016	-	-
2010-10-18T19:05:00	Richard	UNKNOWN	2⁶⁴	2⁶⁵		-	-	0.031	-	-
2012-07-26T20:36:00	carlos56	amd600	2⁶⁵	2⁶⁶		-	-	0.062	-	-
2014-12-16T21:42:00	symallad	old_laptop	2⁶⁶	2⁶⁷		-	-	0.125	-	-
2015-04-28T00:56:00	David Hruska	Manual testing	2⁶⁷	2⁶⁸		-	-	0.250	-	-
2015-05-06T00:26:00	David Hruska	Manual testing	2⁶⁸	2⁶⁹		-	-	0.500	-	-
2015-05-08T03:04:00	guru	w4	2⁶⁹	2⁷⁰		-	-	1.000	-	-
2015-05-18T04:44:00	Smok_bmv	Manual testing	2⁷⁰	2⁷¹		-	-	1.999	-	-
2015-05-22T13:52:00	endless_mike	Manual testing	2⁷¹	2⁷²		-	-	3.998	-	-
2020-11-13T17:31:59	SRBase	Manual testing	2⁷²	2⁷³		-	-	7.997	-	-
2021-04-10T18:52:01	Greg	GPU72_TF	2⁷³	2⁷⁴		-	-	15.99	-	-
2021-07-09T21:17:34	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	31.99	-	-
2021-07-09T21:17:35	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	63.97	-	-
2022-05-22T17:14:39	TheJudger	Manual testing	2⁷⁶	2⁷⁷		-	-	127.9	-	-

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 = 581000, B2 = 26359620 (P-1 stage 2)

B1 = 581000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁷

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

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