M118 152 443 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	259.0566	64.9351%	799000	240477930	92.7914	5.4276%	351.8480	66.8382%
Target	2⁷⁶	129.5275	64.4737%	800000	140000000	56.1408	4.2101%	185.6683	65.9694%
Difference	+1	+129.5290	+0.4614%	-1000	+100477930	+36.6507	+1.2175%	+166.1797	+0.8689%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁷

259.0566

64.9351%

799000

240477930

92.7914

5.4276%

351.8480

66.8382%

Target

2⁷⁶

129.5275

64.4737%

800000

140000000

56.1408

4.2101%

185.6683

65.9694%

Difference

+129.5290

+0.4614%

-1000

+100477930

+36.6507

+1.2175%

+166.1797

+0.8689%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-06-02	S00030	da02208	643000	643000		-		-	-	4.306	-	-	1.294%
2023-08-09	Kriesel	emu	799000	240477930		-		-	-	92.79	-	-	5.428%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-05-13	Donna Noble	PH9500	2⁶³	2⁶⁴		-	-	0.017	-	-
2010-10-14	Dubai_College	DL_C8	2⁶⁴	2⁶⁵		-	-	0.032	-	-
2012-07-19	Richard	8F02	2⁶⁵	2⁶⁶		-	-	0.063	-	-
2014-04-03	snme2pm1	Manual testing	2⁶⁶	2⁶⁸		-	-	0.379	-	-
2014-06-26	snme2pm1	Manual testing	2⁶⁸	2⁶⁹		-	-	0.506	-	-
2014-11-19	snme2pm1	Manual testing	2⁶⁹	2⁷⁰		-	-	1.012	-	-
2015-01-21	snme2pm1	Manual testing	2⁷⁰	2⁷¹		-	-	2.024	-	-
2015-04-03	SMoffat	Manual testing	2⁷¹	2⁷²		-	-	4.048	-	-
2016-03-20	snme2pm1	Manual testing	2⁷²	2⁷³		-	-	8.096	-	-
2019-08-27	Niels_Mache_Nextcloud	Manual testing	2⁷³	2⁷⁴		-	-	16.19	-	-
2021-03-20	jwnutter	Manual testing	2⁷⁴	2⁷⁵		-	-	32.38	-	-
2021-03-20	jwnutter	Manual testing	2⁷⁵	2⁷⁶		-	-	64.76	-	-
2021-11-21	Voidf	Manual testing	2⁷⁶	2⁷⁷		-	-	129.5	-	-

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 = 799000, B2 = 240477930 (P-1 stage 2)

B1 = 799000 (P-1 stage 1)

B1 = 643000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷⁷

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

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