M2366297 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

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	12.5571	67.1642%	2000000	60000000	0.5055	7.6042%	13.0626	69.6611%	2.4969%
PrimeNet	2⁵⁹	0.0325	62.7119%	10000	170000	0.0018	2.4730%	0.0343	63.6340%	0.9221%
GPU72	2⁶³	0.6745	65.0794%	10000	140000	0.0017	1.2711%	0.6762	65.5232%	0.4439%
Difference	+4	+11.8827	+2.0848%	+1990000	+59860000	+0.5038	+6.3331%	+12.3864	+4.1378%	+4.1378%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

12.5571

67.1642%

2000000

60000000

0.5055

7.6042%

13.0626

69.6611%

2.4969%

PrimeNet

2⁵⁹

0.0325

62.7119%

10000

170000

0.0018

2.4730%

0.0343

63.6340%

0.9221%

GPU72

2⁶³

0.6745

65.0794%

10000

140000

0.0017

1.2711%

0.6762

65.5232%

0.4439%

Difference

+11.8827

+2.0848%

+1990000

+59860000

+0.5038

+6.3331%

+12.3864

+4.1378%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2366297	231797721527	12	37.754	48979 7 × 6997	-	7	6997	1.239e-8	3.799e-5	6.976e-5
2366297	299757771367	12	38.125	63339 3 × 43 × 491	2008-07-14	43	491	2.646e-8	6.603e-6	8.572e-6

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2366297

231797721527

37.754

48979
7 × 6997

6997

1.239e-8

3.799e-5

6.976e-5

2366297

299757771367

38.125

63339
3 × 43 × 491

2008-07-14

491

2.646e-8

6.603e-6

8.572e-6

exponent	prime factors	composite factor	digits	bits*
2366297	231797721527 299757771367	69483168412882000117409	23	75.879

exponent

prime factors

composite factor

digits

bits*

2366297

231797721527
299757771367

69483168412882000117409

75.879

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-04-27T11:59:59	alpertron	Manual testing	2000000	60000000	12	-	skipped known factor: 231797721527 skipped known factor: 299757771367	-	-	0.505	-	-	7.604%

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.267 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

New Calculation Method

Total ECM effort:	0.267 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
		299757771367	1	0.00000e+0
50000	5000000		3	0.267

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-14T20:23:00	George Woltman	Manual testing			299757771367	38.125		1		1	-
2018-02-13T03:42:44	Gordon Spence	haswell	50000	5000000						3	0.267

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-12T10:57:50

Oliver Kruse

GTX-3

22132F60CAF4EB__

2017-11-24T21:00:39

storm5510

HP-Z220-CMT

231797721527

299757771367

22132F60CAF4EB__

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 = 2000000, B2 = 60000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

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