M110 749 049 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

A0173E53B8643421

PRP-tested

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁷	276.3741	64.9351%	522000	19677000	9.9634	3.3466%	286.3375	66.1086%
Target	2⁷⁶	138.1862	64.4737%	700000	26000000	13.2268	4.0512%	151.4130	65.9129%
Difference	+1	+138.1878	+0.4614%	-178000	-6323000	-3.2634	-0.7045%	+134.9245	+0.1956%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁷

276.3741

64.9351%

522000

19677000

9.9634

3.3466%

286.3375

66.1086%

Target

2⁷⁶

138.1862

64.4737%

700000

26000000

13.2268

4.0512%

151.4130

65.9129%

Difference

+138.1878

+0.4614%

-178000

-6323000

-3.2634

-0.7045%

+134.9245

+0.1956%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-03-12	Ryan Propper	Manual testing	522000	19677000		-		-	-	9.96	-	-	3.347%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2022-03-12

Ryan Propper

Manual testing

522000

19677000

9.96

-

-

3.347%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-07-01	Donna Noble	ph2-940-1	2⁶³	2⁶⁴		-	-	0.018	-	-
2010-09-19	Donna Noble	GMS-E7200	2⁶⁴	2⁶⁵		-	-	0.034	-	-
2012-05-27	omiXorp	LLB16-T5500-07	2⁶⁵	2⁶⁶		-	-	0.067	-	-
2013-10-01	instant28	Manual testing	2⁶⁶	2⁶⁷		-	-	0.135	-	-
2014-12-01	g0b	Manual testing	2⁶⁷	2⁶⁸		-	-	0.270	-	-
2015-07-30	Judge Hale	Manual testing	2⁶⁸	2⁶⁹		-	-	0.540	-	-
2015-08-04	SMoffat	Manual testing	2⁶⁹	2⁷⁰		-	-	1.080	-	-
2015-08-12	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	2.159	-	-
2019-01-25	Niels_Mache_Nextcloud	Manual testing	2⁷¹	2⁷²		-	-	4.318	-	-
2020-04-10	GROBERTS	Manual testing	2⁷²	2⁷³		-	-	8.637	-	-
2020-06-27	David Hruska	Manual testing	2⁷³	2⁷⁴		-	-	17.27	-	-
2021-05-08	Greg	GPU72_TF	2⁷⁴	2⁷⁵		-	-	34.55	-	-
2021-05-12	Richard Thomas	Manual testing	2⁷⁵	2⁷⁶		-	-	69.09	-	-
2021-06-20	David Hruska	Manual testing	2⁷⁶	2⁷⁷		-	-	138.2	-	-

date	userid	compid	cofactors	res64	PRP
2022-08-31	Ben Delo	i-0d0390bb378893df2		A0173E53B8643421	no

date

userid

compid

cofactors

res64

PRP

2022-08-31

Ben Delo

i-0d0390bb378893df2

A0173E53B8643421

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 = 522000, B2 = 19677000 (P-1 stage 2)

B1 = 522000 (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

this exponent TF target: 76

TF double-checked to: 67.8

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