M24699289 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	1.2030	62.6866%	-	-	-	-	1.2030	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5979	62.1212%	110000	4000000	0.3786	4.9694%	0.9766	64.0036%	1.8824%
GPU72	2⁷⁰	9.6744	64.2857%	170000	5000000	0.5094	3.6215%	10.1838	65.5791%	1.2934%
Difference	-3	-8.4714	-1.5991%	-170000	-5000000	-0.5094	-3.6215%	-8.9808	-2.8925%	-2.8925%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.2030

62.6866%

1.2030

62.6866%

0.0000%

PrimeNet

2⁶⁶

0.5979

62.1212%

110000

4000000

0.3786

4.9694%

0.9766

64.0036%

1.8824%

GPU72

2⁷⁰

9.6744

64.2857%

170000

5000000

0.5094

3.6215%

10.1838

65.5791%

1.2934%

Difference

-3

-8.4714

-1.5991%

-170000

-5000000

-0.5094

-3.6215%

-8.9808

-2.8925%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24699289	740978671	9	29.465	15 3 × 5	-	3	5	2.905e-12	3.656e-6	7.181e-6
24699289	47217775766126431	17	55.390	955852935 3 × 5 × 107 × 595547	2015-08-06	107	595547	0.0003	0.0383	0.0713
24699289	849606611122925129	18	59.560	17199009476 2² × 11 × 41 × 9533819	2015-11-29	41	9533819	0.0041	0.6110	1.1410

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

24699289

740978671

29.465

15
3 × 5

2.905e-12

3.656e-6

7.181e-6

24699289

47217775766126431

55.390

955852935
3 × 5 × 107 × 595547

2015-08-06

107

595547

0.0003

0.0383

0.0713

24699289

849606611122925129

59.560

17199009476
2² × 11 × 41 × 9533819

2015-11-29

9533819

0.0041

0.6110

1.1410

exponent	prime factors	composite factor	digits	bits*
24699289	740978671 47217775766126431	34987364734760369660353201	26	84.855
24699289	740978671 849606611122925129	629540377582678879718923559	27	89.024
24699289	47217775766126431 849606611122925129	40116534453420856816579506360984599	35	114.950
24699289	740978671 47217775766126431 849606611122925129	29725496384421497887630373389198414418487929	44	144.415

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-01-22T13:27:00	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	47217775766126431	55.390	17	0.000	41.42	0.000
2015-11-29T11:19:53	TJAOI	Manual testing	2⁵⁹	2⁶⁰*	849606611122925129	59.560	18	0.001	41.42	0.002
2022-06-24T05:04:21	LordJulius	Manual testing	2¹	2⁶⁰	47217775766126431	55.390	17	0.000	41.42	0.001
2022-06-24T05:04:21	LordJulius	Manual testing	2¹	2⁶⁰	740978671	29.465	9	2.90507e-12	41.42	6.00666e-12
2022-06-24T05:04:21	LordJulius	Manual testing	2¹	2⁶⁰	849606611122925129	59.560	18	0.004	41.42	0.009

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁶⁰

2⁵⁶

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