M24721777 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	1.2019	62.6866%	-	-	-	-	1.2019	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5974	62.1212%	110000	4000000	0.3786	4.9701%	0.9760	64.0038%	1.8826%
GPU72	2⁷⁰	9.6656	64.2857%	170000	5000000	0.5094	3.6220%	10.1750	65.5793%	1.2936%
Difference	-3	-8.4637	-1.5991%	-170000	-5000000	-0.5094	-3.6220%	-8.9731	-2.8927%	-2.8927%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.2019

62.6866%

1.2019

62.6866%

0.0000%

PrimeNet

2⁶⁶

0.5974

62.1212%

110000

4000000

0.3786

4.9701%

0.9760

64.0038%

1.8826%

GPU72

2⁷⁰

9.6656

64.2857%

170000

5000000

0.5094

3.6220%

10.1750

65.5793%

1.2936%

Difference

-3

-8.4637

-1.5991%

-170000

-5000000

-0.5094

-3.6220%

-8.9731

-2.8927%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24721777	168578934564743	15	47.260	3409523 13 × 262271	-	13	262271	1.511e-6	0.0168	0.0314
24721777	487293432814999999	18	58.758	9855550287 3³ × 11 × 19 × 31 × 53 × 1063	2015-09-30	53	1063	0.0031	0.0001	0.0001
24721777	125819335880215242487	21	66.770	2544706553259 3 × 13 × 65248885981	2020-09-08	13	65248885981	0.7517	4,181.0	7,809.0

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

24721777

168578934564743

47.260

3409523
13 × 262271

262271

1.511e-6

0.0168

0.0314

24721777

487293432814999999

58.758

9855550287
3³ × 11 × 19 × 31 × 53 × 1063

2015-09-30

1063

0.0031

0.0001

24721777

125819335880215242487

66.770

2544706553259
3 × 13 × 65248885981

2020-09-08

65248885981

0.7517

4,181.0

7,809.0

exponent	prime factors	composite factor	digits	bits*
24721777	168578934564743 487293432814999999	82147407724348874169662610435257	32	106.018
24721777	168578934564743 125819335880215242487	21210489590330226472010365545835841	35	114.030
24721777	487293432814999999 125819335880215242487	61310936095573585026758532130689757513	38	125.527
24721777	168578934564743 487293432814999999 125819335880215242487	10335732284158839065791827950763121717342156869164 159	53	172.788

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-09-30T11:16:26	TJAOI	Manual testing	2⁵⁸	2⁵⁹*	487293432814999999	58.758	18	0.002	41.46	0.003
2022-06-24T05:04:22	LordJulius	Manual testing	2¹	2⁶⁵	168578934564743	47.260	15	1.51071e-6	41.46	3.12348e-6
2022-06-24T05:04:22	LordJulius	Manual testing	2¹	2⁶⁵	487293432814999999	58.758	18	0.003	41.46	0.006
2022-06-24T05:04:22	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.302	-	-
2020-09-08T11:17:54	TJAOI	Manual testing	2⁶⁶	2⁶⁷*	125819335880215242487	66.770	21	0.154	40.86	0.314

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁹

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