M107 491 183 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
Actual	2⁷⁶	142.3744	64.4737%	790000	23167000	11.9485	4.0118%	154.3229	65.8989%
Target	2⁷⁶	142.3744	64.4737%	700000	120000000	42.8173	3.9770%	185.1917	65.8865%
Difference	-	-	-	+90000	-96833000	-30.8688	+0.0349%	-30.8688	+0.0124%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁶

142.3744

64.4737%

790000

23167000

11.9485

4.0118%

154.3229

65.8989%

Target

2⁷⁶

142.3744

64.4737%

700000

120000000

42.8173

3.9770%

185.1917

65.8865%

Difference

+90000

-96833000

-30.8688

+0.0349%

-30.8688

+0.0124%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
107491183	6373944603151419820371217	25	82.398	29648685711977976 2³ × 3 × 7 × 89 × 149 × 8101 × 1642787	2021-06-24	8101	1642787	9,774.8	0.5778	0.9941

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

107491183

6373944603151419820371217

82.398

29648685711977976
2³ × 3 × 7 × 89 × 149 × 8101 × 1642787

2021-06-24

8101

1642787

9,774.8

0.5778

0.9941

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-06-24	GAN	OSK-01	790000	23167000	6		6373944603151419820371217	25	82.398	11.95	881.7	23.90	4.012%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-24	sasaki3	mate_ma2	2⁶³	2⁶⁴		-	-	0.018	-	-
2010-09-08	Mr-Plonk	linux-i7-920	2⁶⁴	2⁶⁵		-	-	0.035	-	-
2012-05-19	sasaki3	MATE_J1	2⁶⁵	2⁶⁶		-	-	0.070	-	-
2013-09-18	Robish	Manual testing	2⁶⁶	2⁶⁷		-	-	0.139	-	-
2013-09-20	Robish	Manual testing	2⁶⁷	2⁶⁸		-	-	0.278	-	-
2013-09-22	Robish	Manual testing	2⁶⁸	2⁶⁹		-	-	0.556	-	-
2013-09-25	Robish	Manual testing	2⁶⁹	2⁷⁰		-	-	1.112	-	-
2013-09-28	Robish	Manual testing	2⁷⁰	2⁷¹		-	-	2.225	-	-
2013-09-28	Robish	Manual testing	2⁷¹	2⁷²		-	-	4.449	-	-
2020-02-29	el grocco	Manual testing	2⁷²	2⁷³		-	-	8.899	-	-
2020-03-23	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	8.899	-	-
2020-03-23	Niels_Mache_Nextcloud	Manual testing	2⁷³	2⁷⁴		-	-	17.80	-	-
2021-04-16	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	35.59	-	-
2021-04-16	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	71.19	-	-

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 = 790000, B2 = 23167000 (P-1 stage 2)

B1 = 790000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 76

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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