M1703717 Mersenne number exponent details

Residue

Status

L-L

5F15882C7D881577

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	17.4406	68.6567%	500000	15000000	0.0880	5.0251%	17.5287	70.2317%	1.5750%
PrimeNet	2⁵⁷	0.0113	63.1579%	8000	130000	0.0010	2.7324%	0.0123	64.1646%	1.0067%
GPU72	2⁶¹	0.1803	65.5738%	7000	100000	0.0008	1.3019%	0.1811	66.0220%	0.4482%
Difference	+6	+17.2603	+3.0829%	+493000	+14900000	+0.0872	+3.7232%	+17.3475	+4.2098%	+4.2098%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

17.4406

68.6567%

500000

15000000

0.0880

5.0251%

17.5287

70.2317%

1.5750%

PrimeNet

2⁵⁷

0.0113

63.1579%

8000

130000

0.0010

2.7324%

0.0123

64.1646%

1.0067%

GPU72

2⁶¹

0.1803

65.5738%

7000

100000

0.0008

1.3019%

0.1811

66.0220%

0.4482%

Difference

+17.2603

+3.0829%

+493000

+14900000

+0.0872

+3.7232%

+17.3475

+4.2098%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1703717	32533684566204528668153	23	74.784	9547854651390028 2² × 37 × 227 × 284196173693	2014-01-07	227	284196173693	3,542.5	1,056.6	1,973.5

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1703717

32533684566204528668153

74.784

9547854651390028
2² × 37 × 227 × 284196173693

2014-01-07

227

284196173693

3,542.5

1,056.6

1,973.5

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-01-27T22:35:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.003	-	-	0.571%
2011-02-11T06:19:00	Carsten Kossendey	leela	90000	1507500		-		-	-	0.011	-	-	2.353%
2016-03-16T12:29:36	alpertron	Manual testing	500000	15000000	12	-		-	-	0.088	-	-	5.025%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-11-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.011	-	-
2003-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.023	-	-
2010-04-23T13:38:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.090	-	-
2010-10-04T14:38:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.937	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.923 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:	14.923 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
		32533684566204528668153	1	0.00000e+0
50000	5000000		251	14.92

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-06-23T14:28:00	Team_Bundu	bundu4	50000	5000000						3	0.178
2009-06-17T07:11:00	Ottichris	slowly	50000	5000000						3	0.178
2010-07-02T05:18:00	SubPrime	abd0	50000	5000000						3	0.178
2011-11-18T14:01:00	S36049	Wolle5	50000	5000000						3	0.178
2013-04-20T13:12:00	jim f in mn	asus	50000	5000000						3	0.178
2014-01-07T19:32:00	Chang Chia-Tche	exbpc13			32533684566204528668153	74.784		1		1	-
2020-03-03T03:25:48	Niels_Mache_Nextcloud	SuperDry-Y	50000	5000000						3	0.178
2020-03-03T14:21:34	TJAOI	Manual testing	50000	5000000						233	13.85

date	userid	compid	res64	spent (GHz-days)
1999-01-29T00:00:00	ANONYMOUS	v4_computers	5F15882C7D881577	0.080

date

userid

compid

res64

spent (GHz-days)

1999-01-29T00:00:00

ANONYMOUS

v4_computers

5F15882C7D881577

0.080

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-30T15:15:13

alpertron

Manual testing

32533684566204528668153

5B85BB994F09F1__

2017-10-18T19:07:28

Oliver Kruse

Threadripper

32533684566204528668153

5B85BB994F09F1__

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 = 90000, B2 = 1507500 (P-1 stage 2)

B1 = 90000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

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