M24861113 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	2⁶⁷	1.1952	62.6866%	-	-	-	-	1.1952	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5940	62.1212%	110000	4000000	0.3786	4.9738%	0.9727	64.0052%	1.8840%
GPU72	2⁷⁰	9.6114	64.2857%	180000	5000000	0.5206	3.6575%	10.1320	65.5920%	1.3063%
Difference	-3	-8.4162	-1.5991%	-180000	-5000000	-0.5206	-3.6575%	-8.9368	-2.9054%	-2.9054%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.1952

62.6866%

1.1952

62.6866%

0.0000%

PrimeNet

2⁶⁶

0.5940

62.1212%

110000

4000000

0.3786

4.9738%

0.9727

64.0052%

1.8840%

GPU72

2⁷⁰

9.6114

64.2857%

180000

5000000

0.5206

3.6575%

10.1320

65.5920%

1.3063%

Difference

-3

-8.4162

-1.5991%

-180000

-5000000

-0.5206

-3.6575%

-8.9368

-2.9054%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24861113	795555617	9	29.567	16 2⁴	-	16	16	2.887e-12	1.882e-5	3.830e-5
24861113	85350704492801327	17	56.244	1716550351 1716550351	2015-08-06	1	1716550351	0.0007	109.99	205.44
24861113	7858704440011711903	19	62.769	158052144327 3 × 7 × 11 × 181 × 1789 × 2113	2016-10-11	1789	2113	0.0583	0.0021	0.0043

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

24861113

795555617

29.567

16
2⁴

2.887e-12

1.882e-5

3.830e-5

24861113

85350704492801327

56.244

1716550351
1716550351

2015-08-06

1716550351

0.0007

109.99

205.44

24861113

7858704440011711903

62.769

158052144327
3 × 7 × 11 × 181 × 1789 × 2113

2016-10-11

1789

2113

0.0583

0.0021

0.0043

exponent	prime factors	composite factor	digits	bits*
24861113	795555617 85350704492801327	67901232374155231759903759	26	85.812
24861113	795555617 7858704440011711903	6252036459594156950217409151	28	92.336
24861113	85350704492801327 7858704440011711903	670745960355705355704793233340095281	36	119.013
24861113	795555617 85350704492801327 7858704440011711903	533615716341040713727931250607304472114743377	45	148.581

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-03-19T12:27:00	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	85350704492801327	56.244	17	0.000	41.68	0.001
2022-06-24T05:19:19	LordJulius	Manual testing	2¹	2⁶²	795555617	29.567	9	2.88678e-12	41.68	5.96702e-12
2022-06-24T05:19:19	LordJulius	Manual testing	2¹	2⁶²	85350704492801327	56.244	17	0.001	41.68	0.001
2016-10-11T15:17:56	TJAOI	Manual testing	2⁶²	2⁶³*	7858704440011711903	62.769	19	0.034	41.62	0.069

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

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁷

2⁶³

2⁶²

2⁵⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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