M118 512 943 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	2⁷⁷	258.2685	64.9351%	828000	222746370	86.5061	5.3981%	344.7747	66.8279%
Target	2⁷⁶	129.1335	64.4737%	800000	140000000	56.1408	4.2116%	185.2743	65.9699%
Difference	+1	+129.1350	+0.4614%	+28000	+82746370	+30.3653	+1.1865%	+159.5004	+0.8580%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁷

258.2685

64.9351%

828000

222746370

86.5061

5.3981%

344.7747

66.8279%

Target

2⁷⁶

129.1335

64.4737%

800000

140000000

56.1408

4.2116%

185.2743

65.9699%

Difference

+129.1350

+0.4614%

+28000

+82746370

+30.3653

+1.1865%

+159.5004

+0.8580%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
118512943	156277929029706848100223	24	77.048	659328530174577 3⁴ × 83 × 2203 × 44516833	2023-09-24	2203	44516833	281.58	16.255	30.334

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

118512943

156277929029706848100223

77.048

659328530174577
3⁴ × 83 × 2203 × 44516833

2023-09-24

2203

44516833

281.58

16.255

30.334

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-09-24	gcardona	Ryzen-7950X	828000	222746370			156277929029706848100223	24	77.048	86.51	1,095	173.0	5.398%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-05-13	sasaki3	mate_ma1	2⁶³	2⁶⁴		-	-	0.017	-	-
2010-10-15	Richard	FX5000_1	2⁶⁴	2⁶⁵		-	-	0.032	-	-
2012-07-21	Smok_bmv	bmv_homeC331	2⁶⁵	2⁶⁶		-	-	0.063	-	-
2014-06-11	snme2pm1	Manual testing	2⁶⁶	2⁶⁷		-	-	0.126	-	-
2014-07-01	snme2pm1	Manual testing	2⁶⁷	2⁶⁸		-	-	0.252	-	-
2014-07-22	snme2pm1	Manual testing	2⁶⁸	2⁶⁹		-	-	0.504	-	-
2014-08-14	snme2pm1	Manual testing	2⁶⁹	2⁷⁰		-	-	1.009	-	-
2014-12-20	snme2pm1	Manual testing	2⁷⁰	2⁷¹		-	-	2.018	-	-
2015-04-15	SMoffat	Manual testing	2⁷¹	2⁷²		-	-	4.035	-	-
2017-02-09	snme2pm1	Manual testing	2⁷²	2⁷³		-	-	8.071	-	-
2019-07-06	Niels_Mache_Nextcloud	Manual testing	2⁷³	2⁷⁴		-	-	16.14	-	-
2021-04-13	hkt	Manual testing	2⁷⁴	2⁷⁵		-	-	32.28	-	-
2021-07-04	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	64.57	-	-
2022-01-01	Aerow	Manual testing	2⁷⁶	2⁷⁷		-	-	129.1	-	-

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 = 828000, B2 = 222746370 (P-1 stage 2)

B1 = 828000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷⁷

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

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