M85 405 897 Mersenne number exponent details

Residue

Status

L-L

A3BC1F1D313A5A03

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	179.1913	64.4737%	434000	89378850	24.6585	4.5031%	203.8498	66.0735%
Target	2⁷⁵	89.5946	64.0000%	550000	152000000	41.1044	3.9464%	130.6991	65.4207%
Difference	+1	+89.5967	+0.4737%	-116000	-62621150	-16.4459	+0.5566%	+73.1508	+0.6527%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁶

179.1913

64.4737%

434000

89378850

24.6585

4.5031%

203.8498

66.0735%

Target

2⁷⁵

89.5946

64.0000%

550000

152000000

41.1044

3.9464%

130.6991

65.4207%

Difference

+89.5967

+0.4737%

-116000

-62621150

-16.4459

+0.5566%

+73.1508

+0.6527%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
85405897	7091352346301817991540489	25	82.552	41515589645418852 2² × 3² × 521 × 97327 × 22742471	2022-11-13	97327	22742471	14,626	6.2165	10.808

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

85405897

7091352346301817991540489

82.552

41515589645418852
2² × 3² × 521 × 97327 × 22742471

2022-11-13

97327

22742471

14,626

6.2165

10.808

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-01-20	Yxinity	YGSHome	780000	780000		-		-	-	3.643	-	-	1.510%
2022-11-13	James Heinrich	3930K	434000	89378850			7091352346301817991540489	25	82.552	24.66	550.2	49.32	4.503%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-26	Architects Cubed	m1_54	2⁶⁴	2⁶⁵		-	-	0.044	-	-
2013-02-23	Larifari	Manual testing	2⁶⁵	2⁶⁶		-	-	0.087	-	-
2013-03-01	gregor	atomwall	2⁶⁶	2⁶⁷		-	-	0.175	-	-
2013-03-02	SMoffat	Manual testing	2⁶⁷	2⁶⁸		-	-	0.350	-	-
2013-03-03	Choi4KANG	asan01	2⁶⁸	2⁶⁹		-	-	0.700	-	-
2013-03-07	sasabl	SRV01	2⁶⁹	2⁷⁰		-	-	1.400	-	-
2013-06-29	willmore	Manual testing	2⁷⁰	2⁷¹		-	-	2.800	-	-
2014-01-26	natha(net)	Manual testing	2⁷¹	2⁷²		-	-	5.600	-	-
2017-03-05	Strolling Jellyfish	Manual testing	2⁷²	2⁷³		-	-	11.20	-	-
2017-04-21	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	22.40	-	-
2017-08-25	Brian Beuning	Manual testing	2⁷⁴	2⁷⁵		-	-	44.80	-	-
2017-08-31	RichD0	Manual testing	2⁷⁵	2⁷⁶		-	-	89.60	-	-

date	userid	compid	res64	spent (GHz-days)
2018-05-27	curtisc	wd-311--01c	A3BC1F1D313A5A03	275.1

date

userid

compid

res64

spent (GHz-days)

2018-05-27

curtisc

wd-311--01c

A3BC1F1D313A5A03

275.1

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 = 434000, B2 = 89378850 (P-1 stage 2)

B1 = 780000 (P-1 stage 1)

B1 = 434000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

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