M2483653 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	11.9638	67.1642%	2483653	2483653	0.2498	3.7528%	12.2136	68.3964%	1.2323%
PrimeNet	2⁵⁹	0.0309	62.7119%	10000	180000	0.0019	2.5348%	0.0329	63.6570%	0.9452%
GPU72	2⁶³	0.6426	65.0794%	11000	160000	0.0019	1.3802%	0.6445	65.5614%	0.4820%
Difference	+4	+11.3212	+2.0848%	+2472653	+2323653	+0.2479	+2.3726%	+11.5691	+2.8351%	+2.8351%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

11.9638

67.1642%

2483653

0.2498

3.7528%

12.2136

68.3964%

1.2323%

PrimeNet

2⁵⁹

0.0309

62.7119%

10000

180000

0.0019

2.5348%

0.0329

63.6570%

0.9452%

GPU72

2⁶³

0.6426

65.0794%

11000

160000

0.0019

1.3802%

0.6445

65.5614%

0.4820%

Difference

+11.3212

+2.0848%

+2472653

+2323653

+0.2479

+2.3726%

+11.5691

+2.8351%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2483653	14901919	8	23.829	3 3	-	1	3	4.502e-13	1.115e-7	2.047e-7

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2483653

14901919

23.829

3
3

4.502e-13

1.115e-7

2.047e-7

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-11-13T12:43:01	onlinegame	Manual testing	2483653	2483653			14901919	8	23.829	0.250	0.345	0.500	3.753%

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.276 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

New Calculation Method

Total ECM effort:	0.276 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	0.276

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-03-03T01:49:20	ATH	ec2-1xe	50000	5000000						3	0.276

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-14T04:59:35

Oliver Kruse

GTX-2

7AB438AD80AD67__

2017-11-30T02:06:55

nokno

pcr2-srv

14901919

2017-11-30T04:06:06

storm5510

7700_Kaby_Lake

14901919

7AB438AD80AD67__

2017-12-04T09:25:10

kkmrkkblmbrbk

c4.xlarge

14901919

4D43285247E485__

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

B1 = 2483653 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

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