M24964127 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	1.1903	62.6866%	-	-	-	-	1.1903	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5916	62.1212%	110000	4000000	0.4000	4.9766%	0.9916	64.0063%	1.8851%
GPU72	2⁷⁰	9.5718	64.2857%	180000	5000000	0.5500	3.6596%	10.1217	65.5927%	1.3070%
Difference	-3	-8.3815	-1.5991%	-180000	-5000000	-0.5500	-3.6596%	-8.9315	-2.9061%	-2.9061%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.1903

62.6866%

1.1903

62.6866%

0.0000%

PrimeNet

2⁶⁶

0.5916

62.1212%

110000

4000000

0.4000

4.9766%

0.9916

64.0063%

1.8851%

GPU72

2⁷⁰

9.5718

64.2857%

180000

5000000

0.5500

3.6596%

10.1217

65.5927%

1.3070%

Difference

-3

-8.3815

-1.5991%

-180000

-5000000

-0.5500

-3.6596%

-8.9315

-2.9061%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24964127	402082814251849	15	48.514	8053212 2² × 3 × 43 × 15607	-	43	15607	1.682e-6	0.0011	0.0020
24964127	924182708725228409	18	59.681	18510214852 2² × 4627553713	2015-12-08	4	4627553713	0.0031	313.28	585.12
24964127	130540621249980816361	21	66.823	2614564115340 2² × 3 × 5 × 157 × 5261 × 52757	2020-10-07	5261	52757	1.0037	0.0098	0.0133

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

24964127

402082814251849

48.514

8053212
2² × 3 × 43 × 15607

15607

1.682e-6

0.0011

0.0020

24964127

924182708725228409

59.681

18510214852
2² × 4627553713

2015-12-08

4627553713

0.0031

313.28

585.12

24964127

130540621249980816361

66.823

2614564115340
2² × 3 × 5 × 157 × 5261 × 52757

2020-10-07

5261

52757

1.0037

0.0098

0.0133

exponent	prime factors	composite factor	digits	bits*
24964127	402082814251849 924182708725228409	371597984407136682493202975578241	33	108.195
24964127	402082814251849 130540621249980816361	52488140366377009009634538473701489	35	115.338
24964127	924182708725228409 130540621249980816361	120643384945481382871554864318009199649	39	126.504
24964127	402082814251849 924182708725228409 130540621249980816361	48508631739748306864740721195191550896384031208401 001	53	175.019

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-12-08T13:03:27	TJAOI	Manual testing	2⁵⁹	2⁶⁰*	924182708725228409	59.681	18	3.46241e-5	44.17	7.14906e-5
2022-06-24T05:50:25	LordJulius	Manual testing	2⁶⁰	2⁶⁵		-	-	0.286	-	-
2022-06-24T05:50:25	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.299	-	-
2020-10-07T09:33:19	TJAOI	Manual testing	2⁶⁶	2⁶⁷*	130540621249980816361	66.823	21	0.412	43.59	0.840

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

2⁶⁶

2⁶⁵

2⁶⁰

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