M1772711 Mersenne number exponent details

Residue

Status

L-L

D93B01A17955759D

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	16.7619	68.6567%	2475400	86660000	0.5555	7.9615%	17.3174	71.1521%	2.4954%
PrimeNet	2⁵⁷	0.0108	63.1579%	8000	140000	0.0012	2.8093%	0.0120	64.1929%	1.0350%
GPU72	2⁶¹	0.1733	65.5738%	8000	120000	0.0011	1.4548%	0.1744	66.0746%	0.5008%
Difference	+6	+16.5886	+3.0829%	+2467400	+86540000	+0.5544	+6.5067%	+17.1430	+5.0775%	+5.0775%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

16.7619

68.6567%

2475400

86660000

0.5555

7.9615%

17.3174

71.1521%

2.4954%

PrimeNet

2⁵⁷

0.0108

63.1579%

8000

140000

0.0012

2.8093%

0.0120

64.1929%

1.0350%

GPU72

2⁶¹

0.1733

65.5738%

8000

120000

0.0011

1.4548%

0.1744

66.0746%

0.5008%

Difference

+16.5886

+3.0829%

+2467400

+86540000

+0.5544

+6.5067%

+17.1430

+5.0775%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1772711	452283177177572975119347723054271	33	108.479	127568220984010641080059785 3² × 5 × 19 × 67 × 4951 × 14407 × 385433 × 81000221	2015-05-16	385433	81000221	8.547e+10	0.3758	0.6484

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1772711

452283177177572975119347723054271

108.479

127568220984010641080059785
3² × 5 × 19 × 67 × 4951 × 14407 × 385433 × 81000221

2015-05-16

385433

81000221

8.547e+10

0.3758

0.6484

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-02T03:57:00	Carsten Kossendey	leela	95000	1615000		-		-	-	0.014	-	-	2.433%
2014-04-10T20:52:00	ANONYMOUS	Manual testing	100000	100000		-		-	-	0.008	-	-	0.890%
2014-05-09T20:32:00	Jocelyn Larouche	Manual testing	136207	136207		-		-	-	0.011	-	-	1.059%
2014-09-18T20:49:00	Jocelyn Larouche	Manual testing	172414	172414		-		-	-	0.014	-	-	1.202%
2015-05-16T16:58:00	mikr	MSI	2475400	86660000	12		452283177177572975119347723054271	33	108.479	0.556	0.192	1.111	7.962%
2016-03-16T12:31:25	alpertron	Manual testing	500000	15000000	12	-		-	-	0.101	-	-	5.049%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2022-03-08T23:06:26	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.065	-	-
2010-04-20T22:46:00	Architects Cubed	m1_tt	2⁶⁰	2⁶¹		-	-	0.087	-	-
2010-12-13T03:32:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.900	-	-
2015-05-01T22:04:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.108	-	-
2015-05-01T22:04:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.108	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.275 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	17.275 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.097	0.030%
25	50000	0.732	48.105%
30	250000	0.045	95.594%
35	1000000	0.002	99.794%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		251	17.28

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-15T22:32:00	Scott Kurowski	UW2	50000	5000000						3	0.206
2009-06-30T10:59:00	S04803	quad	50000	5000000						3	0.206
2010-12-20T11:39:00	Anu Järvi	Anu-TEMP	50000	5000000						3	0.206
2012-02-09T07:26:00	OS1	L3	50000	5000000						3	0.206
2013-06-06T06:45:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-17T13:25:00	Bruce	snowflake	50000	5000000						3	0.206
2015-02-02T20:16:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2020-07-02T09:22:51	nordi	sweet16	50000	5000000						3	0.206
2020-07-30T15:26:34	_p95holder_	TFL17_PRPt12pE_k	50000	5000000						3	0.206
2020-10-02T07:43:23	TJAOI	Manual testing	50000	5000000						224	15.42

date	userid	compid	res64	spent (GHz-days)
1999-05-16T00:00:00	ANONYMOUS	v4_computers	D93B01A17955759D	0.096
1999-12-23T00:00:00	ANONYMOUS	v4_computers	D93B01A17955759D	0.096

date

userid

compid

res64

spent (GHz-days)

1999-05-16T00:00:00

ANONYMOUS

v4_computers

D93B01A17955759D

0.096

1999-12-23T00:00:00

ANONYMOUS

v4_computers

D93B01A17955759D

0.096

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-30T15:24:32

alpertron

Manual testing

452283177177572975119347723054271

8CD71B361C7E38__

2017-10-19T17:06:58

Oliver Kruse

Threadripper

452283177177572975119347723054271

8CD71B361C7E38__

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 = 2475400, B2 = 86660000 (P-1 stage 2)

B1 = 2475400 (P-1 stage 1)

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

B1 = 500000 (P-1 stage 1)

B1 = 95000, B2 = 1615000 (P-1 stage 2)

B1 = 172414 (P-1 stage 1)

B1 = 136207 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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