M88737373 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

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	172.4639	64.4737%	715000	715000	3.4952	1.4614%	175.9591	64.9929%	0.5192%
PrimeNet	2⁷¹	5.3876	61.9718%	360000	17000000	6.1916	5.4091%	11.5792	64.0288%	2.0570%
GPU72	2⁷⁵	86.2310	64.0000%	600000	20000000	8.0999	4.0501%	94.3308	65.4580%	1.4580%
Difference	+1	+86.2330	+0.4737%	+115000	-19285000	-4.6047	-2.5888%	+81.6283	-0.4652%	-0.4652%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

172.4639

64.4737%

715000

3.4952

1.4614%

175.9591

64.9929%

0.5192%

PrimeNet

2⁷¹

5.3876

61.9718%

360000

17000000

6.1916

5.4091%

11.5792

64.0288%

2.0570%

GPU72

2⁷⁵

86.2310

64.0000%

600000

20000000

8.0999

4.0501%

94.3308

65.4580%

1.4580%

Difference

+86.2330

+0.4737%

+115000

-19285000

-4.6047

-2.5888%

+81.6283

-0.4652%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
88737373	547048396504106740832234647	27	88.822	3082401349114238151 3 × 7 × 11 × 13 × 29 × 59 × 509 × 15131 × 77893	2018-09-19	15131	77893	741,741	0.0907	0.1505

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

88737373

547048396504106740832234647

88.822

3082401349114238151
3 × 7 × 11 × 13 × 29 × 59 × 509 × 15131 × 77893

2018-09-19

15131

77893

741,741

0.0907

0.1505

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-09-19T04:04:22	Jwb52z	Clay	715000	715000			547048396504106740832234647	27	88.822	3.495	598.3	6.990	1.461%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-15T10:20:00	Architects Cubed	m1_15	2⁶⁴	2⁶⁵		-	-	0.042	-	-
2011-03-24T23:53:00	wavelet3000	Manual testing	2⁶⁵	2⁶⁶		-	-	0.084	-	-
2011-03-31T11:32:00	wavelet3000	Manual testing	2⁶⁶	2⁶⁷		-	-	0.168	-	-
2011-06-22T02:30:00	wavelet3000	Manual testing	2⁶⁷	2⁶⁸		-	-	0.337	-	-
2011-06-22T02:30:00	wavelet3000	Manual testing	2⁶⁸	2⁶⁹		-	-	0.674	-	-
2011-06-22T02:30:00	wavelet3000	Manual testing	2⁶⁹	2⁷⁰		-	-	1.347	-	-
2014-08-27T11:52:00	S00030	vd01	2⁷⁰	2⁷¹		-	-	2.695	-	-
2017-07-29T10:58:45	ANONYMOUS	Manual testing	2⁷¹	2⁷²		-	-	5.390	-	-
2017-07-29T10:58:45	ANONYMOUS	Manual testing	2⁷²	2⁷³		-	-	10.78	-	-
2017-07-29T10:58:45	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	21.56	-	-
2018-09-02T21:44:58	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	43.12	-	-
2018-09-02T21:44:58	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	86.23	-	-

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 = 715000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

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