M7115347 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	2⁶⁸	8.3769	66.1765%	-	-	-	-	8.3769	66.1765%	0.0000%
PrimeNet	2⁶³	0.2243	63.4921%	30000	800000	0.0227	3.3223%	0.2471	64.7050%	1.2129%
GPU72	2⁶⁷	4.1760	65.6716%	45000	1000000	0.0307	2.3060%	4.2067	66.4633%	0.7916%
Difference	+1	+4.2009	+0.5048%	-45000	-1000000	-0.0307	-2.3060%	+4.1702	-0.2868%	-0.2868%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

8.3769

66.1765%

8.3769

66.1765%

0.0000%

PrimeNet

2⁶³

0.2243

63.4921%

30000

800000

0.0227

3.3223%

0.2471

64.7050%

1.2129%

GPU72

2⁶⁷

4.1760

65.6716%

45000

1000000

0.0307

2.3060%

4.2067

66.4633%

0.7916%

Difference

+4.2009

+0.5048%

-45000

-1000000

-0.0307

-2.3060%

+4.1702

-0.2868%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
7115347	71153471	8	26.084	5 5	-	1	5	1.258e-12	3.851e-7	6.435e-7
7115347	179989817713	12	37.389	12648 2³ × 3 × 17 × 31	2008-09-08	17	31	4.471e-9	5.616e-6	1.094e-5
7115347	11134081096442657	17	53.306	782399024 2⁴ × 11 × 17 × 19 × 13763	2014-09-18	19	13763	0.0002	0.0002	0.0004
7115347	2754806675065519793	19	61.257	193582032968 2³ × 113 × 2447 × 87511	2016-04-13	2447	87511	0.0836	0.0022	0.0028

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

7115347

71153471

26.084

5
5

1.258e-12

3.851e-7

6.435e-7

7115347

179989817713

37.389

12648
2³ × 3 × 17 × 31

2008-09-08

4.471e-9

5.616e-6

1.094e-5

7115347

11134081096442657

53.306

782399024
2⁴ × 11 × 17 × 19 × 13763

2014-09-18

13763

0.0002

0.0004

7115347

2754806675065519793

61.257

193582032968
2³ × 113 × 2447 × 87511

2016-04-13

2447

87511

0.0836

0.0022

0.0028

exponent	prime factors	composite factor	digits	bits*
7115347	71153471 179989817713	12806900274937231823	20	63.474
7115347	71153471 11134081096442657	792228516407380798012447	24	79.390
7115347	71153471 2754806675065519793	196014056864880885691151503	27	87.341
7115347	179989817713 11134081096442657	2004021226950473006187383441	28	90.695
7115347	179989817713 2754806675065519793	495837151279598529873663493409	30	98.646
7115347	11134081096442657 2754806675065519793	30672240925201052947019610923010001	35	114.562
7115347	71153471 179989817713 11134081096442657	142593066255204899482036808235073711	36	116.779
7115347	71153471 179989817713 2754806675065519793	35280534364295526887008349042035972639	38	124.730
7115347	71153471 11134081096442657 2754806675065519793	2182436405176306290035224422241675338863471	43	140.647
7115347	179989817713 11134081096442657 2754806675065519793	5520691052976155987809721216668753757265947713	46	151.952
7115347	71153471 179989817713 11134081096442657 2754806675065519793	39281633073789837877009535210832488707376364988446 1823	54	178.036

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T03:25:00	Will Edgington	Manual testing	?	?	179989817713	37.389	12	1.89817e-9	3.376	4.13036e-9
2014-09-18T11:06:00	TJAOI	Manual testing	2⁵³	2⁵⁴*	11134081096442657	53.306	17	7.38798e-5	3.376	0.000
2016-04-13T11:46:55	TJAOI	Manual testing	2⁶¹	2⁶²*	2754806675065519793	61.257	19	0.040	3.290	0.086
2022-08-10T19:28:49	LordJulius	Manual testing	2¹	2⁶³	11134081096442657	53.306	17	0.000	3.376	0.001
2022-08-10T19:28:49	LordJulius	Manual testing	2¹	2⁶³	179989817713	37.389	12	4.47139e-9	3.376	9.72961e-9
2022-08-10T19:28:49	LordJulius	Manual testing	2¹	2⁶³	2754806675065519793	61.257	19	0.084	3.290	0.177
2022-08-10T19:28:49	LordJulius	Manual testing	2¹	2⁶³	71153471	26.084	8	1.25782e-12	3.376	2.73697e-12
2022-08-10T19:28:49	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	0.276	-	-
2022-08-10T19:28:49	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	0.525	-	-
2022-08-10T19:28:49	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	1.050	-	-
2022-08-10T19:28:49	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	2.100	-	-
2022-08-10T19:28:49	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	4.201	-	-

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-31T20:52:47

kkmrkkblmbrbk

c4.xlarge

71153471

179989817713

11134081096442657

2754806675065519793

0EFD3738A9AF4E__

2019-03-19T17:33:38

marssystems

SYSTEM01

71153471

179989817713

11134081096442657

2754806675065519793

0EFD3738A9AF4EA8

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

10⁰

10¹

10²

10³

10⁴

10⁰

10¹

10²

10³

10⁴

10⁵

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