M4385281 Mersenne number exponent details

Residue

Status

L-L

5E58D01123ACB7BE

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	2⁷³	436.1965	68.4932%	6200000	28879919250	285.6156	11.8777%	721.8121	72.2354%	3.7423%
Target	2⁶⁵	1.6637	64.6154%	26000	500000	0.0094	2.0306%	1.6731	65.3339%	0.7185%
Difference	+8	+434.5328	+3.8778%	+6174000	+28879419250	+285.6062	+9.8471%	+720.1391	+6.9015%	+3.0238%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

436.1965

68.4932%

6200000

28879919250

285.6156

11.8777%

721.8121

72.2354%

3.7423%

Target

2⁶⁵

1.6637

64.6154%

26000

500000

0.0094

2.0306%

1.6731

65.3339%

0.7185%

Difference

+434.5328

+3.8778%

+6174000

+28879419250

+285.6062

+9.8471%

+720.1391

+6.9015%

+3.0238%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4385281	22086480424095894236730905158781935969	38	124.055	2518251444331149387773657510064 2⁴ × 3² × 13 × 251 × 20897 × 40763 × 4806413 × 1309026259	2022-12-23	4806413	1309026259	3.144e+10	13.720	24.090

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

4385281

22086480424095894236730905158781935969

124.055

2518251444331149387773657510064
2⁴ × 3² × 13 × 251 × 20897 × 40763 × 4806413 × 1309026259

2022-12-23

4806413

1309026259

3.144e+10

13.720

24.090

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-07-26T18:44:00	Carsten Kossendey	durandal	25000	356250		-		-	-	0.008	-	-	0.567%
2012-01-09T08:59:00	Squeeky_Squirrel	T7500_2200	110000	2255000		-		-	-	0.041	-	-	1.511%
2017-04-25T02:57:27	Squeeky_Squirrel	i5-5250U_1600	270000	7965000	12	-		-	-	0.125	-	-	2.458%
2022-12-23T13:26:07	DRobinsonPE	5700G	6200000	28879919250			22086480424095894236730905158781935969	38	124.055	285.6	1.094	571.2	11.878%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.070	-	-
2010-11-11T03:47:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.070	-	-
2012-02-29T05:44:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.364	-	-
2016-02-23T16:38:50	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.224	-	-
2014-07-22T18:05:00	Jayder	Manual testing	2⁶³	2⁶⁴		-	-	0.448	-	-
2014-07-23T09:40:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	0.852	-	-
2015-06-20T00:25:00	snme2pm1	Manual testing	2⁶⁵	2⁶⁶		-	-	1.704	-	-
2018-05-04T02:09:47	chuenkit	Manual testing	2⁶⁶	2⁶⁷		-	-	3.408	-	-
2018-10-29T01:12:53	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	6.816	-	-
2021-01-25T11:36:47	-Anonymous-	Manual testing	2⁶⁸	2⁶⁹		-	-	13.63	-	-
2021-01-25T11:36:47	-Anonymous-	Manual testing	2⁶⁹	2⁷⁰		-	-	27.26	-	-
2021-01-30T11:27:43	-Anonymous-	Manual testing	2⁷⁰	2⁷¹		-	-	54.53	-	-
2021-01-30T11:27:43	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	109.1	-	-
2021-02-11T16:47:59	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	218.1	-	-

ECM factoring results:

Total ECM effort:	2.204 GHz-days
Estimated T-Level:	2.308

Digits	B1	Complete	FacMiss
20	11000	0.462	63.031%
25	50000	0.043	95.819%
30	250000	0.003	99.731%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		12	2.204

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-12-26T23:48:00	Martti Järvi	Failure	50000	5000000						3	0.551
2013-03-30T19:38:00	Donna Noble	q8200v2	50000	5000000						3	0.551
2016-08-29T00:10:03	bayanne	iMac	50000	5000000						3	0.551
2019-07-20T18:30:57	okay1998	lead	50000	5000000						3	0.551

date	userid	compid	res64	spent (GHz-days)
2000-02-16T00:00:00	ANONYMOUS	v4_computers	5E58D01123ACB7BE	0.547

date

userid

compid

res64

spent (GHz-days)

2000-02-16T00:00:00

ANONYMOUS

v4_computers

5E58D01123ACB7BE

0.547

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 = 6200000, B2 = 28879919250 (P-1 stage 2)

B1 = 6200000 (P-1 stage 1)

B1 = 270000, B2 = 7965000 (P-1 stage 2)

B1 = 270000 (P-1 stage 1)

B1 = 110000, B2 = 2255000 (P-1 stage 2)

B1 = 110000 (P-1 stage 1)

B1 = 25000, B2 = 356250 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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