M24855169 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	1.1955	62.6866%	-	-	-	-	1.1955	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5942	62.1212%	110000	4000000	0.3786	4.9736%	0.9728	64.0052%	1.8840%
GPU72	2⁷⁰	9.6137	64.2857%	180000	5000000	0.5206	3.6574%	10.1343	65.5919%	1.3062%
Difference	-3	-8.4182	-1.5991%	-180000	-5000000	-0.5206	-3.6574%	-8.9388	-2.9054%	-2.9054%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.1955

62.6866%

1.1955

62.6866%

0.0000%

PrimeNet

2⁶⁶

0.5942

62.1212%

110000

4000000

0.3786

4.9736%

0.9728

64.0052%

1.8840%

GPU72

2⁷⁰

9.6137

64.2857%

180000

5000000

0.5206

3.6574%

10.1343

65.5919%

1.3062%

Difference

-3

-8.4182

-1.5991%

-180000

-5000000

-0.5206

-3.6574%

-8.9388

-2.9054%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24855169	43410397734247	14	45.303	873267 3 × 291089	-	3	291089	1.921e-7	0.0187	0.0348
24855169	52657711214551439	17	55.547	1059290951 1059290951	2015-08-06	1	1059290951	0.0003	67.877	126.78
24855169	8865897255924355007	19	62.943	178351176287 23 × 59 × 193 × 680987	2016-11-14	193	680987	0.0528	0.0439	0.0815

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

24855169

43410397734247

45.303

873267
3 × 291089

291089

1.921e-7

0.0187

0.0348

24855169

52657711214551439

55.547

1059290951
1059290951

2015-08-06

1059290951

0.0003

67.877

126.78

24855169

8865897255924355007

62.943

178351176287
23 × 59 × 193 × 680987

2016-11-14

193

680987

0.0528

0.0439

0.0815

exponent	prime factors	composite factor	digits	bits*
24855169	43410397734247 52657711214551439	2285892187598796630062033431433	31	100.851
24855169	43410397734247 8865897255924355007	384872126150645315293497669824729	33	108.246
24855169	52657711214551439 8865897255924355007	466857857360348738104730618898705073	36	118.490
24855169	43410397734247 52657711214551439 8865897255924355007	20266485273371091972839363651632632739361484735031	50	163.794

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-01-31T12:10:00	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	52657711214551439	55.547	17	0.000	41.67	0.000
2022-06-24T05:19:19	LordJulius	Manual testing	2¹	2⁶²	43410397734247	45.303	14	1.92132e-7	41.67	3.97143e-7
2022-06-24T05:19:19	LordJulius	Manual testing	2¹	2⁶²	52657711214551439	55.547	17	0.000	41.67	0.001
2016-11-14T17:24:45	TJAOI	Manual testing	2⁶²	2⁶³*	8865897255924355007	62.943	19	0.028	41.61	0.058

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

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁷

2⁶³

2⁶²

2⁵⁶

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