M102864857 Mersenne number exponent details

Residue

Status

L-L

4988B46E11D45D__

factored

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	2⁷⁶	148.7777	64.4737%	485000	78915900	27.4702	4.5984%	176.2479	66.1073%	1.6336%
Target	2⁷⁶	148.7777	64.4737%	650000	22000000	10.4682	3.8537%	159.2459	65.8428%	1.3691%
Difference	-	-	-	-165000	+56915900	+17.0020	+0.7447%	+17.0020	+0.2646%	+0.2646%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

148.7777

64.4737%

485000

78915900

27.4702

4.5984%

176.2479

66.1073%

1.6336%

Target

2⁷⁶

148.7777

64.4737%

650000

22000000

10.4682

3.8537%

159.2459

65.8428%

1.3691%

Difference

-165000

+56915900

+17.0020

+0.7447%

+17.0020

+0.2646%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
102864857	175038516010070071319563454025545397049	39	127.041	850817864890776406365701038332 2² × 3² × 11 × 2843 × 147293 × 263303 × 429241 × 45396821	2022-12-25	429241	45396821	1.355e+9	16.623	26.670

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

102864857

175038516010070071319563454025545397049

127.041

850817864890776406365701038332
2² × 3² × 11 × 2843 × 147293 × 263303 × 429241 × 45396821

2022-12-25

429241

45396821

1.355e+9

16.623

26.670

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-03-05T00:37:20	-Anonymous-		1035000	1035000		-		-	-	5.975	-	-	1.749%
2022-12-25T15:01:19	Mark Rose	leonardo	485000	78915900			175038516010070071319563454025545397049	39	127.041	27.47	819.1	54.94	4.598%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-19T23:38:00	1997rj7	compa	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-20T09:04:00	Donna Noble	ATH2-630-temp	2⁶⁴	2⁶⁵		-	-	0.036	-	-
2012-04-25T18:27:00	sasaki3	MATE_J2	2⁶⁵	2⁶⁶		-	-	0.073	-	-
2013-09-09T03:40:00	JoDu	Manual testing	2⁶⁶	2⁶⁷		-	-	0.145	-	-
2014-01-01T21:09:00	SRS Technology	Manual testing	2⁶⁷	2⁶⁸		-	-	0.291	-	-
2014-01-01T21:09:00	SRS Technology	Manual testing	2⁶⁸	2⁶⁹		-	-	0.581	-	-
2014-01-01T21:09:00	SRS Technology	Manual testing	2⁶⁹	2⁷⁰		-	-	1.162	-	-
2014-01-01T21:09:00	SRS Technology	Manual testing	2⁷⁰	2⁷¹		-	-	2.325	-	-
2014-01-01T21:09:00	SRS Technology	Manual testing	2⁷¹	2⁷²		-	-	4.649	-	-
2020-01-29T22:44:12	Yves de Wandelaar	Manual testing	2⁷²	2⁷³		-	-	9.299	-	-
2020-02-07T17:46:52	ixfd64	Manual testing	2⁷³	2⁷⁴		-	-	18.60	-	-
2020-10-24T04:07:03	LOBES	GPU72_TF	2⁷⁴	2⁷⁵		-	-	37.19	-	-
2020-10-27T05:30:53	ktony	GPU72_TF	2⁷⁵	2⁷⁶		-	-	74.39	-	-

date	userid	compid	res64	spent (GHz-days)
2021-03-24T15:59:57	-Anonymous-		4988B46E11D45D__	409.6

date

userid

compid

res64

spent (GHz-days)

2021-03-24T15:59:57

-Anonymous-

4988B46E11D45D__

409.6

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 = 485000, B2 = 78915900 (P-1 stage 2)

B1 = 1035000 (P-1 stage 1)

B1 = 485000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

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