M2503817 Mersenne number exponent details

Residue

Status

L-L

4B4590DC61F04DE5

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	11.8674	67.1642%	300000	8000000	0.0724	4.3768%	11.9398	68.6013%	1.4371%
PrimeNet	2⁵⁹	0.0307	62.7119%	10000	180000	0.0019	2.5386%	0.0326	63.6585%	0.9466%
GPU72	2⁶³	0.6374	65.0794%	11000	170000	0.0020	1.4079%	0.6394	65.5710%	0.4916%
Difference	+4	+11.2300	+2.0848%	+289000	+7830000	+0.0704	+2.9689%	+11.3004	+3.0303%	+3.0303%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

11.8674

67.1642%

300000

8000000

0.0724

4.3768%

11.9398

68.6013%

1.4371%

PrimeNet

2⁵⁹

0.0307

62.7119%

10000

180000

0.0019

2.5386%

0.0326

63.6585%

0.9466%

GPU72

2⁶³

0.6374

65.0794%

11000

170000

0.0020

1.4079%

0.6394

65.5710%

0.4916%

Difference

+11.2300

+2.0848%

+289000

+7830000

+0.0704

+2.9689%

+11.3004

+3.0303%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2503817	98513004431913312817	20	66.417	19672564814424 2³ × 3² × 273230066867	2012-07-27	9	273230066867	7.1697	1,497.2	2,796.3

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2503817

98513004431913312817

66.417

19672564814424
2³ × 3² × 273230066867

2012-07-27

273230066867

7.1697

1,497.2

2,796.3

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-23T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.291%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	236250		-		-	-	0.003	-	-	0.930%
2010-12-16T22:40:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.314%
2011-01-01T00:57:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.431%
2011-01-04T22:09:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.617%
2011-03-02T00:11:00	James Heinrich	i7-920	300000	8000000		-		-	-	0.072	-	-	4.377%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2022-03-10T03:34:11	LordJulius	Manual testing	2¹	2⁶⁰		-	-	0.061	-	-
2009-01-30T03:20:00	Sturle Sunde	ginjtje.ifi	2⁶⁰	2⁶¹		-	-	0.061	-	-
2012-06-12T09:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.123	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.552 GHz-days
Estimated T-Level:	0.300

Digits	B1	Curves	Complete	FacMiss
20	11000	6 / 100	0.060	94.148%
25	50000	6 / 280	0.021	97.876%

New Calculation Method

Total ECM effort:	0.552 GHz-days
Estimated T-Level:	0.300

Digits	B1	Complete	FacMiss
20	11000	0.194	82.403%
25	50000	0.017	98.266%
30	250000	0.001	99.892%

ECM Summary

B1	B2	factor	curves	GHz-days
		98513004431913312817	1	0.00000e+0
50000	5000000		6	0.552

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-24T18:33:00	mdrg	MDRG02	50000	5000000						3	0.276
2010-04-07T11:24:00	Lupo	yorick	50000	5000000						3	0.276
2012-07-27T15:28:00	Chang Chia-Tche	sekhmet			98513004431913312817	66.417		1		1	-

date	userid	compid	res64	spent (GHz-days)
1999-03-26T00:00:00	ANONYMOUS	v4_computers	4B4590DC61F04DE5	0.174

date

userid

compid

res64

spent (GHz-days)

1999-03-26T00:00:00

ANONYMOUS

v4_computers

4B4590DC61F04DE5

0.174

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-30T15:23:35

alpertron

Manual testing

98513004431913312817

36A3EB23A4FCCC__

2017-11-07T15:18:10

Oliver Kruse

GTX-1

98513004431913312817

36A3EB23A4FCCC__

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 = 300000, B2 = 8000000 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000, B2 = 236250 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

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