M29833 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	unknown	500000000	10000000000	0.8128	50.2304%	0.8128	50.2304%	50.2304%
PrimeNet	2⁴⁰	0.0000	62.5000%	500	10000	0.0000	4.0977%	0.0000	64.0366%	1.5366%
GPU72	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.7557%	0.0001	66.5076%	0.5985%
Difference	-44	-0.0001	-65.9091%	+499999500	+9999990000	+0.8128	+48.4747%	+0.8127	-16.2772%	-16.2772%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

unknown

500000000

10000000000

0.8128

50.2304%

0.8128

50.2304%

PrimeNet

2⁴⁰

0.0000

62.5000%

500

10000

0.0000

4.0977%

0.0000

64.0366%

1.5366%

GPU72

2⁴⁴

0.0001

65.9091%

500

10000

0.0000

1.7557%

0.0001

66.5076%

0.5985%

Difference

-44

-0.0001

-65.9091%

+499999500

+9999990000

+0.8128

+48.4747%

+0.8127

-16.2772%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
29833	1634371073	10	30.606	27392 2⁸ × 107	-	256	256	9.249e-9	2.045e-7	4.161e-7
29833	26199389007412372221711733577110282511	38	124.301	439100811306478936441385941358735 5 × 11 × 17 × 469626536156661964108434161881	2017-10-13	17	469626536156661964108434161881	5.661e+12	2.044e+19	3.817e+19

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

29833

1634371073

30.606

27392
2⁸ × 107

256

9.249e-9

2.045e-7

4.161e-7

29833

26199389007412372221711733577110282511

124.301

439100811306478936441385941358735
5 × 11 × 17 × 469626536156661964108434161881

2017-10-13

469626536156661964108434161881

5.661e+12

2.044e+19

3.817e+19

exponent	prime factors	composite factor	digits	bits*
29833	1634371073 26199389007412372221711733577110282511	42819523523988963741474399903111860666836204303	47	154.907

exponent

prime factors

composite factor

digits

bits*

29833

1634371073
26199389007412372221711733577110282511

42819523523988963741474399903111860666836204303

154.907

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-01-04T01:58:23	kkmrkkblmbrbk	Manual testing	500000000	10000000000	12	-	skipped known factor: 1634371073	-	-	0.813	-	-	42.912%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2017-01-04T01:58:23

kkmrkkblmbrbk

Manual testing

500000000

10000000000

skipped known factor: 1634371073

0.813

-

-

42.912%

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.207 GHz-days
Estimated T-Level:	31.617

Digits	B1	Curves	Complete	FacMiss
20	11000	1255 / 100	12.550	0.000%
25	50000	1255 / 280	4.482	1.122%
30	250000	1126 / 640	1.759	17.192%
35	1000000	511 / 1580	0.323	72.360%
40	3000000	500 / 4700	0.106	89.907%

New Calculation Method

Total ECM effort:	19.207 GHz-days
Estimated T-Level:	31.617

Digits	B1	Complete	FacMiss
20	11000	156.983	0.000%
25	50000	31.910	0.000%
30	250000	5.501	0.408%
35	1000000	0.797	45.060%
40	3000000	0.099	90.619%
45	11000000	0.011	98.944%
50	44000000	0.001	99.899%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		129	0.074
250000	25000000		615	1.767
1000000	100000000		11	0.126
3000000	300000000		430	14.83
3000000	300000000	26199389007412372221711733577110282511	70	2.414

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-04T14:32:00	Matthias Wurtinger	WUR_E6600	50000	5000000						30	0.017
2009-05-10T17:34:00	Matthias Wurtinger	WUR_E6600	250000	25000000						30	0.086
2009-10-15T18:34:00	GrunwalderGIMP	GWPrime02	50000	5000000						99	0.057
2011-01-19T03:12:00	James Hintz	NEW_OMFG	250000	25000000						11	0.032
2011-03-18T21:03:00	James Hintz	17_051310	250000	25000000						11	0.032
2014-12-04T07:20:00	James Hintz	08_04_2014	250000	25000000						563	1.618
2014-12-04T07:57:00	James Hintz	08_04_2014	1000000	100000000						11	0.126
2017-10-13T05:43:42	nordi	nordiputer	3000000	300000000	26199389007412372221711733577110282511	124.301	70	2		70	2.414
2017-10-15T21:39:17	nordi	nordiputer	3000000	300000000						430	14.83

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21T19:39:55

Oliver Kruse

PRP

1634371073

6FF0330653BFEE__

2017-09-21T20:27:21

Oliver Kruse

Manual testing

1634371073

6FF0330653BFEE__

2017-10-12T16:30:12

kkmrkkblmbrbk

Manual testing

1634371073

6FF0330653BFEE__

2017-10-13T08:25:45

kkmrkkblmbrbk

c4.xlarge

6F4599DD1C3AF8__

2017-10-13T08:45:40

Oliver Kruse

GTX-2

6CEA1B96456106__

2017-10-13T09:07:59

Oliver Kruse

GTX-2

6CEA1B96456106__

2017-10-13T23:58:02

YarBer

Manual testing

1634371073

26199389007412372221711733577110282511

6CEA1B96456106__

2017-11-03T23:24:27

ATH

ec2-1xd

1634371073

26199389007412372221711733577110282511

6F4599DD1C3AF8__

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 = 500000000, B2 = 10000000000 (P-1 stage 2)

B1 = 500000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

10²⁰

10²¹

10²²

10²³

10²⁴

10²⁵

10²⁶

10²⁷

10²⁸

10²⁹

10³⁰

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