M1502801 Mersenne number exponent details

Residue

Status

L-L

A682160053518BFD

double-checked

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	19.7724	68.6567%	3000000	273000000	1.1470	9.3951%	20.9194	71.6014%	2.9447%
PrimeNet	2⁵⁷	0.0128	63.1579%	6500	100000	0.0008	2.3413%	0.0135	64.0205%	0.8626%
GPU72	2⁶¹	0.2044	65.5738%	6000	50000	0.0005	0.9483%	0.2049	65.9003%	0.3265%
Difference	+6	+19.5680	+3.0829%	+2994000	+272950000	+1.1465	+8.4467%	+20.7144	+5.7012%	+5.7012%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

19.7724

68.6567%

3000000

273000000

1.1470

9.3951%

20.9194

71.6014%

2.9447%

PrimeNet

2⁵⁷

0.0128

63.1579%

6500

100000

0.0008

2.3413%

0.0135

64.0205%

0.8626%

GPU72

2⁶¹

0.2044

65.5738%

6000

50000

0.0005

0.9483%

0.2049

65.9003%

0.3265%

Difference

+19.5680

+3.0829%

+2994000

+272950000

+1.1465

+8.4467%

+20.7144

+5.7012%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1502801	23767608714397193	17	54.400	7907769796 2² × 37 × 173 × 308849	-	173	308849	0.0024	0.0011	0.0020
1502801	54465617050567486367	20	65.562	18121367050783 44267 × 409365149	2018-10-25	44267	409365149	7.4196	1.4472	2.6979

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1502801

23767608714397193

54.400

7907769796
2² × 37 × 173 × 308849

173

308849

0.0024

0.0011

0.0020

1502801

54465617050567486367

65.562

18121367050783
44267 × 409365149

2018-10-25

44267

409365149

7.4196

1.4472

2.6979

exponent	prime factors	composite factor	digits	bits*
1502801	23767608714397193 54465617050567486367	1294517474446088129454551453650567831	37	119.962

exponent

prime factors

composite factor

digits

bits*

1502801

23767608714397193
54465617050567486367

1294517474446088129454551453650567831

119.962

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-17T19:15:32	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 23767608714397193	-	-	0.084	-	-	4.949%
2021-07-25T12:40:46	Dylan Delgado	laptop-ryzen73700	3000000	273000000		-	skipped known factor: 23767608714397193	-	-	1.147	-	-	9.395%

ECM factoring results:

Old Calculation Method

Total ECM effort:	30.067 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	301 / 100	3.010	4.855%
25	50000	301 / 280	1.075	34.064%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	30.067 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	12.263	0.000%
25	50000	1.357	25.749%
30	250000	0.113	89.315%
35	1000000	0.008	99.236%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		248	13.82
50000	5000000	54465617050567486367	3	0.167
250000	35000000		50	16.08

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2017-11-27T21:55:05	Michel Thull	MT-Thinkpad	50000	5000000						3	0.167
2018-10-25T20:51:28	Chang Chia-Tche	exbpc13	50000	5000000	54465617050567486367	65.562	3	2		3	0.167
2019-05-24T13:18:38	TJAOI	Manual testing	50000	5000000						245	13.65
2022-04-21T11:50:48	TJAOI	Manual testing	250000	35000000						50	16.08

date	userid	compid	res64	spent (GHz-days)
1999-05-23T00:00:00	MadPoo	v4_computers	A682160053518BFD	0.067

date

userid

compid

res64

spent (GHz-days)

1999-05-23T00:00:00

MadPoo

v4_computers

A682160053518BFD

0.067

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-01T09:58:20

Oliver Kruse

GTX-1

23767608714397193

C0F42E1ADED34A__

2017-10-29T09:14:41

kkmrkkblmbrbk

old

23767608714397193

C0F42E1ADED34A__

2018-10-25T20:57:28

rucio

23767608714397193

54465617050567486367

A6EA2ABCD1EFD9__

2018-10-25T21:18:30

ATH

ec2-PRPCFDC

23767608714397193

54465617050567486367

A6EA2ABCD1EFD9__

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 = 3000000, B2 = 273000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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