M66 209 933 Mersenne number exponent details

Residue

Status

L-L

FD9765920ED84F__

unverified LL test

PRP

B7BEEA75FF470C90

PRP-tested

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁵	115.5704	65.3333%	302000	25501938	6.1392	3.6783%	121.7096	66.6085%
Target	2⁷⁴	57.7839	64.8649%	450000	15000000	4.5549	3.9226%	62.3388	66.2431%
Difference	+1	+57.7865	+0.4685%	-148000	+10501938	+1.5843	-0.2443%	+59.3708	+0.3654%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁵

115.5704

65.3333%

302000

25501938

6.1392

3.6783%

121.7096

66.6085%

Target

2⁷⁴

57.7839

64.8649%

450000

15000000

4.5549

3.9226%

62.3388

66.2431%

Difference

+57.7865

+0.4685%

-148000

+10501938

+1.5843

-0.2443%

+59.3708

+0.3654%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2014-03-22	ANONYMOUS	csc145-46l	695000	695000		-		-	-	2.547	-	-	1.551%
2022-08-31	Kriesel	martin	302000	25501938		-		-	-	6.139	-	-	3.678%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-02-14	Team Prime Rib	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2009-04-05	1997rj7	Manual testing	2¹	2⁶⁴		-	-	0.054	-	-
2009-11-14	Sturle Sunde	goose.ifi	2⁶⁴	2⁶⁵		-	-	0.056	-	-
2009-11-28	hete	r1	2⁶⁵	2⁶⁶		-	-	0.113	-	-
2009-11-29	hete	r1	2⁶⁶	2⁶⁷		-	-	0.226	-	-
2009-11-30	Nathan Edington	Maryland	2⁶⁷	2⁶⁸		-	-	0.451	-	-
2009-12-11	ANONYMOUS	icuch	2⁶⁸	2⁶⁹		-	-	0.903	-	-
2013-04-07	Architects Cubed	Manual testing	2⁶⁹	2⁷⁰		-	-	1.806	-	-
2013-04-25	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	3.612	-	-
2014-03-17	Bill Staffen	Manual testing	2⁷¹	2⁷²		-	-	7.223	-	-
2014-03-17	Bill Staffen	Manual testing	2⁷²	2⁷³		-	-	14.45	-	-
2014-03-17	Bill Staffen	Manual testing	2⁷³	2⁷⁴		-	-	28.89	-	-
2021-10-06	Aerow	Manual testing	2⁷⁴	2⁷⁵		-	-	57.79	-	-

date	userid	compid	res64	spent (GHz-days)
2014-04-18	ANONYMOUS	csc145-46l	FD9765920ED84F__	167.4

date

userid

compid

res64

spent (GHz-days)

2014-04-18

ANONYMOUS

csc145-46l

FD9765920ED84F__

167.4

date	userid	compid	cofactors	res64	PRP
2022-10-01	Kriesel	martin		B7BEEA75FF470C90	no

date

userid

compid

cofactors

res64

PRP

2022-10-01

Kriesel

martin

B7BEEA75FF470C90

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 = 302000, B2 = 25501938 (P-1 stage 2)

B1 = 695000 (P-1 stage 1)

B1 = 302000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶⁰

this exponent TF target: 74

TF double-checked to: 67.7

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