M24487499 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	1.2134	62.6866%	-	-	-	-	1.2134	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.6031	62.1212%	110000	4000000	0.3786	4.9637%	0.9817	64.0014%	1.8802%
GPU72	2⁷⁰	9.7581	64.2857%	170000	5000000	0.5094	3.6172%	10.2675	65.5776%	1.2919%
Difference	-3	-8.5446	-1.5991%	-170000	-5000000	-0.5094	-3.6172%	-9.0541	-2.8910%	-2.8910%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.2134

62.6866%

1.2134

62.6866%

0.0000%

PrimeNet

2⁶⁶

0.6031

62.1212%

110000

4000000

0.3786

4.9637%

0.9817

64.0014%

1.8802%

GPU72

2⁷⁰

9.7581

64.2857%

170000

5000000

0.5094

3.6172%

10.2675

65.5776%

1.2919%

Difference

-3

-8.5446

-1.5991%

-170000

-5000000

-0.5094

-3.6172%

-9.0541

-2.8910%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24487499	878456507226329	15	49.642	17936836 2² × 17 × 19 × 13883	-	19	13883	4.386e-6	0.0009	0.0017
24487499	105910894854299473	18	56.556	2162550264 2³ × 3 × 7 × 587 × 21929	2015-04-13	587	21929	0.0006	0.0021	0.0026
24487499	10483023638750149849	20	63.185	214048475076 2² × 3 × 1663 × 10726021	2016-12-30	1663	10726021	0.1262	0.6891	1.2837

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

24487499

878456507226329

49.642

17936836
2² × 17 × 19 × 13883

13883

4.386e-6

0.0009

0.0017

24487499

105910894854299473

56.556

2162550264
2³ × 3 × 7 × 587 × 21929

2015-04-13

587

21929

0.0006

0.0021

0.0026

24487499

10483023638750149849

63.185

214048475076
2² × 3 × 1663 × 10726021

2016-12-30

1663

10726021

0.1262

0.6891

1.2837

exponent	prime factors	composite factor	digits	bits*
24487499	878456507226329 105910894854299473	93038114770922895904999556424617	32	106.198
24487499	878456507226329 10483023638750149849	9208880330867498739213800108174321	34	112.827
24487499	105910894854299473 10483023638750149849	1110266414358802983172350400671729577	37	119.740
24487499	878456507226329 105910894854299473 10483023638750149849	97532075644833420059417623233255291169363942243283 3	51	169.382

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-04-13T11:38:00	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	105910894854299473	56.556	18	0.000	41.08	0.000
2022-06-24T04:22:51	LordJulius	Manual testing	2¹	2⁶³	105910894854299473	56.556	18	0.001	41.08	0.001
2022-06-24T04:22:51	LordJulius	Manual testing	2¹	2⁶³	878456507226329	49.642	15	4.38574e-6	41.08	9.07185e-6
2016-12-30T17:16:21	TJAOI	Manual testing	2⁶³	2⁶⁴*	10483023638750149849	63.185	20	0.061	40.94	0.126

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

2⁶⁴

2⁶³

2⁵⁷

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