M46003103 Mersenne number exponent details

Residue

Status

L-L

3734FAF05B24EEFB

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷³	41.5808	64.3836%	1600000	1600000	3.7235	2.5566%	45.3043	65.2941%	0.9106%
PrimeNet	2⁶⁸	1.2957	61.7647%	200000	8000000	1.4544	5.4250%	2.7501	63.8390%	2.0743%
GPU72	2⁷²	20.7885	63.8889%	320000	10000000	1.9721	4.0327%	22.7605	65.3452%	1.4563%
Difference	+1	+20.7923	+0.4947%	+1280000	-8400000	+1.7515	-1.4761%	+22.5438	-0.0510%	-0.0510%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

41.5808

64.3836%

1600000

3.7235

2.5566%

45.3043

65.2941%

0.9106%

PrimeNet

2⁶⁸

1.2957

61.7647%

200000

8000000

1.4544

5.4250%

2.7501

63.8390%

2.0743%

GPU72

2⁷²

20.7885

63.8889%

320000

10000000

1.9721

4.0327%

22.7605

65.3452%

1.4563%

Difference

+20.7923

+0.4947%

+1280000

-8400000

+1.7515

-1.4761%

+22.5438

-0.0510%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
46003103	36628205699143006250567553569	29	94.887	398105815809240153328 2⁴ × 7² × 17 × 41 × 659 × 950647 × 1162907	2018-11-03	950647	1162907	103,594,031	2.2393	4.5025

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

46003103

36628205699143006250567553569

94.887

398105815809240153328
2⁴ × 7² × 17 × 41 × 659 × 950647 × 1162907

2018-11-03

950647

1162907

103,594,031

2.2393

4.5025

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2008-02-16T08:29:00	arnaud	SRV-130	780000	780000		-		-	-	1.815	-	-	1.939%
2018-11-03T15:18:38	mikr	Y12	1600000	1600000			36628205699143006250567553569	29	94.887	3.724	147.7	7.447	2.557%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:39:42	Mark Rose	Manual testing	2¹	2⁶³		-	-	0.035	-	-
2008-02-03T00:00:00	benthomas	v4_computers	2⁶³	2⁶⁴		-	-	0.043	-	-
2007-12-02T10:31:00	Team_Bundu	bundu2	2⁶³	2⁶⁴		-	-	0.043	-	-
2008-02-03T00:00:00	benthomas	v4_computers	2⁶⁴	2⁶⁵		-	-	0.081	-	-
2007-12-04T03:22:00	Team_Bundu	bundu2	2⁶⁴	2⁶⁵		-	-	0.081	-	-
2008-02-03T00:00:00	benthomas	v4_computers	2⁶⁵	2⁶⁶		-	-	0.162	-	-
2007-12-04T16:57:00	Team_Bundu	bundu2	2⁶⁵	2⁶⁶		-	-	0.162	-	-
2008-02-03T00:00:00	benthomas	v4_computers	2⁶⁶	2⁶⁷		-	-	0.325	-	-
2008-02-03T00:00:00	benthomas	v4_computers	2⁶⁷	2⁶⁸		-	-	0.650	-	-
2013-11-15T11:19:00	sasaki	Manual testing	2⁶⁸	2⁶⁹		-	-	1.300	-	-
2015-07-30T10:19:00	Gordon Spence	Manual testing	2⁶⁹	2⁷⁰		-	-	2.599	-	-
2015-09-19T15:29:00	Mark Rose	Manual testing	2⁷⁰	2⁷¹		-	-	5.198	-	-
2015-11-06T16:35:53	Bruno Victal	Manual testing	2⁷¹	2⁷²		-	-	10.40	-	-
2018-02-23T21:52:55	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	20.79	-	-

date	userid	compid	res64	spent (GHz-days)
2008-05-21T06:24:00	paulie	iMac3.4	3734FAF05B24EEFB	73.83
2016-11-08T03:02:46	Xolotl	Muntz-Szasz	3734FAF05B24EEFB	73.83

date

userid

compid

res64

spent (GHz-days)

2008-05-21T06:24:00

paulie

iMac3.4

3734FAF05B24EEFB

73.83

2016-11-08T03:02:46

Xolotl

Muntz-Szasz

3734FAF05B24EEFB

73.83

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 = 1600000 (P-1 stage 1)

B1 = 780000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

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