M24526127 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	1.2115	62.6866%	-	-	-	-	1.2115	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.6022	62.1212%	110000	4000000	0.3786	4.9648%	0.9808	64.0018%	1.8806%
GPU72	2⁷⁰	9.7427	64.2857%	170000	5000000	0.5094	3.6180%	10.2521	65.5779%	1.2922%
Difference	-3	-8.5312	-1.5991%	-170000	-5000000	-0.5094	-3.6180%	-9.0406	-2.8913%	-2.8913%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.2115

62.6866%

1.2115

62.6866%

0.0000%

PrimeNet

2⁶⁶

0.6022

62.1212%

110000

4000000

0.3786

4.9648%

0.9808

64.0018%

1.8806%

GPU72

2⁷⁰

9.7427

64.2857%

170000

5000000

0.5094

3.6180%

10.2521

65.5779%

1.2922%

Difference

-3

-8.5312

-1.5991%

-170000

-5000000

-0.5094

-3.6180%

-9.0406

-2.8913%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24526127	65337602329	11	35.927	1332 2² × 3² × 37	-	9	37	2.404e-10	1.238e-5	2.154e-5
24526127	1303691646854430839	19	60.177	26577609397 47 × 139 × 431 × 9439	2016-01-18	431	9439	0.0082	0.0011	0.0011
24526127	26463392239288380911	20	64.521	539493908665 5 × 3391 × 31819163	2017-10-30	3391	31819163	0.1915	2.0427	3.8081

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

24526127

65337602329

35.927

1332
2² × 3² × 37

2.404e-10

1.238e-5

2.154e-5

24526127

1303691646854430839

60.177

26577609397
47 × 139 × 431 × 9439

2016-01-18

431

9439

0.0082

0.0011

24526127

26463392239288380911

64.521

539493908665
5 × 3391 × 31819163

2017-10-30

3391

31819163

0.1915

2.0427

3.8081

exponent	prime factors	composite factor	digits	bits*
24526127	65337602329 1303691646854430839	85180086381813905910215824031	29	96.105
24526127	65337602329 26463392239288380911	1729054598406969041913192741719	31	100.448
24526127	1303691646854430839 26463392239288380911	34500103409792633612337829570737314329	38	124.698
24526127	65337602329 1303691646854430839 26463392239288380911	2254154036898408019316527856495811418949675472241	49	160.625

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-01-18T13:49:47	TJAOI	Manual testing	2⁶⁰	2⁶¹*	1303691646854430839	60.177	19	0.002	41.13	0.004
2022-06-24T04:29:10	LordJulius	Manual testing	2⁶¹	2⁶⁴		-	-	0.133	-	-
2017-10-30T13:52:23	TJAOI	Manual testing	2⁶⁴	2⁶⁵*	26463392239288380911	64.521	20	0.046	40.85	0.095

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

TF factor-bounds graph:

2⁶⁷

2⁶⁵

2⁶⁴

2⁶¹

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