M1894757 Mersenne number exponent details

Residue

Status

L-L

8F727BF622681CEA

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	15.6822	68.6567%	500100	500100	0.0393	2.0054%	15.7215	69.2853%	0.6286%
PrimeNet	2⁵⁷	0.0101	63.1579%	9000	160000	0.0014	3.0365%	0.0115	64.2766%	1.1187%
GPU72	2⁶¹	0.1621	65.5738%	10000	160000	0.0014	1.7264%	0.1636	66.1681%	0.5943%
Difference	+6	+15.5201	+3.0829%	+490100	+340100	+0.0379	+0.2791%	+15.5580	+3.1172%	+3.1172%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

15.6822

68.6567%

500100

0.0393

2.0054%

15.7215

69.2853%

0.6286%

PrimeNet

2⁵⁷

0.0101

63.1579%

9000

160000

0.0014

3.0365%

0.0115

64.2766%

1.1187%

GPU72

2⁶¹

0.1621

65.5738%

10000

160000

0.0014

1.7264%

0.1636

66.1681%

0.5943%

Difference

+15.5201

+3.0829%

+490100

+340100

+0.0379

+0.2791%

+15.5580

+3.1172%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1894757	1370321691143009321	19	60.249	361608821380 2² × 5 × 17 × 367 × 2897971	2009-07-26	367	2897971	0.1344	0.0124	0.0232

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1894757

1370321691143009321

60.249

361608821380
2² × 5 × 17 × 367 × 2897971

2009-07-26

367

2897971

0.1344

0.0124

0.0232

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-04-12T11:55:40	Lisander Viaene	Desktop	500100	500100		-		-	-	0.039	-	-	2.005%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2022-04-12T11:55:40

Lisander Viaene

Desktop

500100

0.039

-

-

2.005%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2003-01-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2003-01-09T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁸

0.020

-

-

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.052 GHz-days
Estimated T-Level:	24.411

Digits	B1	Curves	Complete	FacMiss
20	11000	247 / 100	2.470	8.354%
25	50000	247 / 280	0.882	41.324%

New Calculation Method

Total ECM effort:	19.052 GHz-days
Estimated T-Level:	24.411

Digits	B1	Complete	FacMiss
20	11000	10.192	0.004%
25	50000	0.938	39.141%
30	250000	0.060	94.220%
35	1000000	0.003	99.721%

ECM Summary

B1	B2	factor	curves	GHz-days
		1370321691143009321	1	0.00000e+0
50000	5000000		31	2.150
50000	6600000		209	16.35
50000	6750000		7	0.553

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-03T20:44:00	mdrg	MDRG02	50000	5000000						3	0.208
2009-07-26T23:58:00	SubPrime	mysql0			1370321691143009321	60.249		1		1	-
2020-09-23T16:01:39	nordi	sweet16	50000	5000000						7	0.485
2020-11-24T17:09:36	_p95holder_	TFL18_PRPt12pE_m	50000	5000000						7	0.485
2021-02-21T18:57:25	_p95holder_	TFL18_PRPt12pE_m	50000	5000000						7	0.485
2021-06-12T07:28:53	_p95holder_	TFL17_PRPt12pE_k	50000	5000000						7	0.485
2021-09-10T02:44:36	Dylan Delgado	laptop-ryzen73700	50000	6750000						7	0.553
2021-12-03T11:51:40	TJAOI	Manual testing	50000	6600000						209	16.35

date	userid	compid	res64	spent (GHz-days)
1999-01-02T00:00:00	ANONYMOUS	v4_computers	8F727BF622681CEA	0.103

date

userid

compid

res64

spent (GHz-days)

1999-01-02T00:00:00

ANONYMOUS

v4_computers

8F727BF622681CEA

0.103

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 = 500100 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

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