M85 351 163 Mersenne number exponent details

Residue

Status

L-L

11580003EC8B1524

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁶	179.3062	64.4737%	415000	88044000	24.2350	4.4589%	203.5412	66.0578%
Target	2⁷⁵	89.6521	64.0000%	550000	152000000	41.1044	3.9461%	130.7565	65.4206%
Difference	+1	+89.6541	+0.4737%	-135000	-63956000	-16.8695	+0.5128%	+72.7847	+0.6372%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁶

179.3062

64.4737%

415000

88044000

24.2350

4.4589%

203.5412

66.0578%

Target

2⁷⁵

89.6521

64.0000%

550000

152000000

41.1044

3.9461%

130.7565

65.4206%

Difference

+89.6541

+0.4737%

-135000

-63956000

-16.8695

+0.5128%

+72.7847

+0.6372%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
85351163	6582679500630930530062633	25	82.445	38562330431460732 2² × 3 × 13 × 37 × 127 × 8369 × 6285787	2022-11-10	8369	6285787	16,573	1.6363	2.9872

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

85351163

6582679500630930530062633

82.445

38562330431460732
2² × 3 × 13 × 37 × 127 × 8369 × 6285787

2022-11-10

8369

6285787

16,573

1.6363

2.9872

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2017-12-31	KrisD	THE_MACHINE	780000	780000		-		-	-	3.643	-	-	1.509%
2022-11-10	James Heinrich	3930K	415000	88044000			6582679500630930530062633	25	82.445	24.23	549.8	48.47	4.459%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-25	Architects Cubed	m1_82	2⁶⁴	2⁶⁵		-	-	0.044	-	-
2013-02-24	Florimond C.	ichthys1	2⁶⁵	2⁶⁶		-	-	0.088	-	-
2013-02-26	SMoffat	Manual testing	2⁶⁶	2⁶⁷		-	-	0.175	-	-
2013-02-28	KevinChen	Manual testing	2⁶⁷	2⁶⁸		-	-	0.350	-	-
2013-02-28	KevinChen	Manual testing	2⁶⁷	2⁶⁸		-	-	0.350	-	-
2013-03-03	ANONYMOUS	extensa	2⁶⁸	2⁶⁹		-	-	0.700	-	-
2013-03-04	Florimond C.	ichthys1	2⁶⁹	2⁷⁰		-	-	1.401	-	-
2013-06-29	willmore	Manual testing	2⁷⁰	2⁷¹		-	-	2.802	-	-
2014-01-22	natha(net)	Manual testing	2⁷¹	2⁷²		-	-	5.603	-	-
2017-03-03	Strolling Jellyfish	Manual testing	2⁷²	2⁷³		-	-	11.21	-	-
2017-04-16	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	22.41	-	-
2017-09-14	ANONYMOUS	Manual testing	2⁷⁴	2⁷⁵		-	-	44.83	-	-
2017-09-17	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	89.65	-	-

date	userid	compid	res64	spent (GHz-days)
2019-03-27	Kevin Jaget	X299	11580003EC8B1524	274.9

date

userid

compid

res64

spent (GHz-days)

2019-03-27

Kevin Jaget

X299

11580003EC8B1524

274.9

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 = 415000, B2 = 88044000 (P-1 stage 2)

B1 = 780000 (P-1 stage 1)

B1 = 415000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

this exponent TF target: 75

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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