M85 408 633 Mersenne number exponent details

Residue

Status

L-L

73151123096172DC

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	179.1856	64.4737%	465000	170234610	45.3688	5.0157%	224.5544	66.2556%
Target	2⁷⁵	89.5917	64.0000%	550000	19000000	7.2631	3.9465%	96.8549	65.4207%
Difference	+1	+89.5938	+0.4737%	-85000	+151234610	+38.1057	+1.0692%	+127.6995	+0.8348%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁶

179.1856

64.4737%

465000

170234610

45.3688

5.0157%

224.5544

66.2556%

Target

2⁷⁵

89.5917

64.0000%

550000

19000000

7.2631

3.9465%

96.8549

65.4207%

Difference

+89.5938

+0.4737%

-85000

+151234610

+38.1057

+1.0692%

+127.6995

+0.8348%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
85408633	5128795379200444071387626700247	31	102.016	30025040789497497702531 3 × 59 × 257 × 1063 × 1783 × 5861 × 59418391	2022-11-22	5861	59418391	1.521e+9	15.145	28.238

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

85408633

5128795379200444071387626700247

102.016

30025040789497497702531
3 × 59 × 257 × 1063 × 1783 × 5861 × 59418391

2022-11-22

5861

59418391

1.521e+9

15.145

28.238

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-01-29	Yxinity	YGSHome	780000	780000		-		-	-	3.643	-	-	1.510%
2022-11-22	Kriesel	emu	465000	170234610			5128795379200444071387626700247	31	102.016	45.37	550.2	90.74	5.016%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2022-12-14	LordJulius	Manual testing	2¹	2⁶⁴		-	-	0.042	-	-
2010-11-26	Architects Cubed	m1_54	2⁶⁴	2⁶⁵		-	-	0.044	-	-
2013-02-24	roemer2201	HPCC	2⁶⁵	2⁶⁶		-	-	0.087	-	-
2013-06-17	Lukin Dmitry	Manual testing	2⁶⁶	2⁶⁷		-	-	0.175	-	-
2013-08-16	Robish	Manual testing	2⁶⁷	2⁶⁸		-	-	0.350	-	-
2013-08-16	Robish	Manual testing	2⁶⁸	2⁶⁹		-	-	0.700	-	-
2013-08-18	Robish	Manual testing	2⁶⁹	2⁷⁰		-	-	1.400	-	-
2015-08-16	monst	Manual testing	2⁷⁰	2⁷¹		-	-	2.800	-	-
2017-02-17	ANONYMOUS	Manual testing	2⁷¹	2⁷²		-	-	5.600	-	-
2017-02-18	ANONYMOUS	Manual testing	2⁷²	2⁷³		-	-	11.20	-	-
2017-02-18	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	22.40	-	-
2017-08-24	Brian Beuning	Manual testing	2⁷⁴	2⁷⁵		-	-	44.80	-	-
2017-08-27	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	89.59	-	-

date	userid	compid	res64	spent (GHz-days)
2018-06-05	curtisc	jckl2f11398l	73151123096172DC	275.1

date

userid

compid

res64

spent (GHz-days)

2018-06-05

curtisc

jckl2f11398l

73151123096172DC

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 = 465000, B2 = 170234610 (P-1 stage 2)

B1 = 780000 (P-1 stage 1)

B1 = 465000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 75

TF double-checked to: 67.7

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

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