M111 470 939 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

3707E77ED34A2AEC

PRP-tested

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁷	274.5843	64.9351%	4500000	135000000	73.8848	6.0012%	348.4690	67.0394%
Target	2⁷⁶	137.2913	64.4737%	700000	26000000	13.2268	4.0543%	150.5181	65.9140%
Difference	+1	+137.2929	+0.4614%	+3800000	+109000000	+60.6580	+1.9469%	+197.9509	+1.1253%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁷

274.5843

64.9351%

4500000

135000000

73.8848

6.0012%

348.4690

67.0394%

Target

2⁷⁶

137.2913

64.4737%

700000

26000000

13.2268

4.0543%

150.5181

65.9140%

Difference

+137.2929

+0.4614%

+3800000

+109000000

+60.6580

+1.9469%

+197.9509

+1.1253%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-08-29	Paul Underwood	Manual testing	4500000	135000000		-		-	-	73.88	-	-	6.001%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-08-29

Paul Underwood

Manual testing

4500000

135000000

73.88

-

-

6.001%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-05-03	Richard	FX5000_1	2⁶³	2⁶⁴		-	-	0.018	-	-
2010-09-22	Commaster	Core-i7	2⁶⁴	2⁶⁵		-	-	0.034	-	-
2012-05-29	D5 Fujitsu Siemens	D5FS	2⁶⁵	2⁶⁶		-	-	0.067	-	-
2013-10-12	Cow_tipping	Manual testing	2⁶⁶	2⁶⁷		-	-	0.134	-	-
2014-11-08	wombatman	Manual testing	2⁶⁷	2⁶⁸		-	-	0.268	-	-
2014-11-16	SMoffat	Manual testing	2⁶⁸	2⁶⁹		-	-	0.536	-	-
2015-07-08	JMGarcia	fjcanizares	2⁶⁹	2⁷⁰		-	-	1.073	-	-
2015-07-13	ANONYMOUS		2⁷⁰	2⁷¹		-	-	2.145	-	-
2019-01-18	Niels_Mache_Nextcloud	Manual testing	2⁷¹	2⁷²		-	-	4.290	-	-
2020-04-20	SRBase	Manual testing	2⁷²	2⁷³		-	-	8.581	-	-
2020-07-27	jwnutter	Manual testing	2⁷³	2⁷⁴		-	-	17.16	-	-
2020-11-23	arpcar	Manual testing	2⁷⁴	2⁷⁵		-	-	34.32	-	-
2020-12-14	arpcar	Manual testing	2⁷⁵	2⁷⁶		-	-	68.65	-	-
2021-01-18	arpcar	Manual testing	2⁷⁶	2⁷⁷		-	-	137.3	-	-

date	userid	compid	cofactors	res64	PRP
2021-09-04	Paul Underwood	Manual testing		3707E77ED34A2AEC	no

date

userid

compid

cofactors

res64

PRP

2021-09-04

Paul Underwood

Manual testing

3707E77ED34A2AEC

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 = 4500000, B2 = 135000000 (P-1 stage 2)

B1 = 4500000 (P-1 stage 1)

10⁵

10⁶

10⁷

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: 67.8

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