M1511891 Mersenne number exponent details

Residue

Status

L-L

A79BF28EA93C38BC

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	19.6535	68.6567%	500000	15000000	0.0835	4.9531%	19.7370	70.2092%	1.5525%
PrimeNet	2⁵⁷	0.0127	63.1579%	6500	100000	0.0008	2.3441%	0.0134	64.0215%	0.8636%
GPU72	2⁶¹	0.2032	65.5738%	6000	50000	0.0005	0.9496%	0.2037	65.9007%	0.3269%
Difference	+6	+19.4503	+3.0829%	+494000	+14950000	+0.0830	+4.0035%	+19.5333	+4.3085%	+4.3085%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

19.6535

68.6567%

500000

15000000

0.0835

4.9531%

19.7370

70.2092%

1.5525%

PrimeNet

2⁵⁷

0.0127

63.1579%

6500

100000

0.0008

2.3441%

0.0134

64.0215%

0.8636%

GPU72

2⁶¹

0.2032

65.5738%

6000

50000

0.0005

0.9496%

0.2037

65.9007%

0.3269%

Difference

+19.4503

+3.0829%

+494000

+14950000

+0.0830

+4.0035%

+19.5333

+4.3085%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1511891	15272921744928270774519031	26	83.659	5050933481622772665 3² × 5 × 176179 × 637096170703	2013-07-24	176179	637096170703	1,964,561	2,248.1	4,198.8

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1511891

15272921744928270774519031

83.659

5050933481622772665
3² × 5 × 176179 × 637096170703

2013-07-24

176179

637096170703

1,964,561

2,248.1

4,198.8

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-01-27T01:33:00	James Heinrich	WHS	80000	1320000		-		-	-	0.010	-	-	2.181%
2016-03-17T19:15:41	alpertron	Manual testing	500000	15000000	12	-		-	-	0.084	-	-	4.953%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-08-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.025	-	-
2010-04-24T18:20:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.102	-	-
2010-06-17T23:47:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	1.056	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.828 GHz-days
Estimated T-Level:	24.429

Digits	B1	Curves	Complete	FacMiss
20	11000	248 / 100	2.480	8.270%
25	50000	248 / 280	0.886	41.177%

New Calculation Method

Total ECM effort:	13.828 GHz-days
Estimated T-Level:	24.429

Digits	B1	Complete	FacMiss
20	11000	8.000	0.034%
25	50000	0.723	48.528%
30	250000	0.045	95.645%
35	1000000	0.002	99.796%

ECM Summary

B1	B2	factor	curves	GHz-days
		15272921744928270774519031	1	0.00000e+0
50000	5000000		248	13.83

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-02-19T04:01:00	Steve Scott	Abit-1	50000	5000000						3	0.167
2009-04-14T06:44:00	Martti Järvi	Cassady	50000	5000000						3	0.167
2010-01-27T16:03:00	James Hintz	ryan	50000	5000000						3	0.167
2011-02-28T01:12:00	Lupo	yorick	50000	5000000						3	0.167
2012-10-12T07:28:00	OS1	L3	50000	5000000						3	0.167
2013-07-24T04:16:00	Chang Chia-Tche	exbpc13			15272921744928270774519031	83.659		1		1	-
2019-06-07T09:12:26	TJAOI	Manual testing	50000	5000000						233	12.99

date	userid	compid	res64	spent (GHz-days)
1998-11-14T00:00:00	ANONYMOUS	v4_computers	A79BF28EA93C38BC	0.068

date

userid

compid

res64

spent (GHz-days)

1998-11-14T00:00:00

ANONYMOUS

v4_computers

A79BF28EA93C38BC

0.068

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-01T11:40:20

Oliver Kruse

GTX-2

15272921744928270774519031

67FB6B61E0D695__

2017-10-29T13:50:09

kkmrkkblmbrbk

c4.xlarge

15272921744928270774519031

67FB6B61E0D695__

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

B1 = 500000 (P-1 stage 1)

B1 = 80000, B2 = 1320000 (P-1 stage 2)

B1 = 80000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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