M29917 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	50.2349%	0.8128	50.2349%	50.2349%
PrimeNet	2⁴⁰	0.0000	62.5000%	500	10000	0.0000	4.1006%	0.0000	64.0377%	1.5377%
GPU72	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.7572%	0.0001	66.5081%	0.5990%
Difference	-44	-0.0001	-65.9091%	+499999500	+9999990000	+0.8128	+48.4777%	+0.8127	-16.2732%	-16.2732%

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

50.2349%

0.8128

50.2349%

PrimeNet

2⁴⁰

0.0000

62.5000%

500

10000

0.0000

4.1006%

0.0000

64.0377%

1.5377%

GPU72

2⁴⁴

0.0001

65.9091%

500

10000

0.0000

1.7572%

0.0001

66.5081%

0.5990%

Difference

-44

-0.0001

-65.9091%

+499999500

+9999990000

+0.8128

+48.4777%

+0.8127

-16.2732%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
29917	5026057	7	22.261	84 2² × 3 × 7	-	4	7	1.902e-11	3.325e-9	6.502e-9
29917	315204804308826018748776641612281	33	107.958	5267988172424140434347973420 2² × 3 × 5 × 499157 × 5328216973 × 33012200437	2017-10-10	5328216973	33012200437	4.821e+12	5.4604	8.6611
29917	24626554505083183597811562432267521	35	114.246	411581283301854858405113521280 2⁷ × 5 × 11 × 239 × 23459 × 10427388667420194907	2017-10-06	23459	10427388667420194907	6.028e+12	453,756,507	847,490,793

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

29917

5026057

22.261

84
2² × 3 × 7

1.902e-11

3.325e-9

6.502e-9

29917

315204804308826018748776641612281

107.958

5267988172424140434347973420
2² × 3 × 5 × 499157 × 5328216973 × 33012200437

2017-10-10

5328216973

33012200437

4.821e+12

5.4604

8.6611

29917

24626554505083183597811562432267521

114.246

411581283301854858405113521280
2⁷ × 5 × 11 × 239 × 23459 × 10427388667420194907

2017-10-06

23459

10427388667420194907

6.028e+12

453,756,507

847,490,793

exponent	prime factors	composite factor	digits	bits*
29917	5026057 315204804308826018748776641612281	1584237313130005173314420081011896206017	40	130.219
29917	5026057 24626554505083183597811562432267521	123774466656154870504065988043635199794697	42	136.507
29917	315204804308826018748776641612281 24626554505083183597811562432267521	77624082935753826729487974914696806315689306266081 03645368151025401	67	222.204
29917	5026057 315204804308826018748776641612281 24626554505083183597811562432267521	39014306540782607111053014273583628626061444758378 045583528113038273873857	74	244.465

	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: 5026057	-	-	0.813	-	-	42.917%

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: 5026057

0.813

-

-

42.917%

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		209	7.206
3000000	300000000	315204804308826018748776641612281	181	6.241
3000000	300000000	24626554505083183597811562432267521	110	3.793

	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
2009-10-15T22:04:00	GrunwalderGIMP	GWPrime02	50000	5000000						99	0.057
2011-01-19T04:45:00	James Hintz	NEW_OMFG	250000	25000000						11	0.032
2011-03-18T18:52:00	James Hintz	17_051310	250000	25000000						11	0.032
2014-12-03T20:23:00	James Hintz	08_04_2014	250000	25000000						563	1.618
2014-12-03T20:51:00	James Hintz	08_04_2014	1000000	100000000						11	0.126
2017-10-06T19:23:53	nordi	nordiputer	3000000	300000000	24626554505083183597811562432267521	114.246	110	2		110	3.793
2017-10-10T18:59:45	nordi	Manual testing	3000000	300000000	315204804308826018748776641612281	107.958	181	2		181	6.241
2017-10-12T22:00:18	nordi	nordiputer	3000000	300000000						209	7.206

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21T19:40:06

Oliver Kruse

Oliver-PC

5026057

75DF1D0F6DF60B__

2017-09-21T20:27:21

Oliver Kruse

Manual testing

5026057

75DF1D0F6DF60B__

2017-10-07T08:57:51

kkmrkkblmbrbk

c4.xlarge

3F74A763B0225D__

2017-10-11T01:32:05

Oliver Kruse

GTX-2

08EF834CAA94C8__

2017-10-11T17:18:11

YarBer

Manual testing

5026057

315204804308826018748776641612281

24626554505083183597811562432267521

08EF834CAA94C8__

2017-10-14T02:07:46

kkmrkkblmbrbk

Manual testing

5026057

315204804308826018748776641612281

24626554505083183597811562432267521

08EF834CAA94C8__

2020-04-17T13:47:45

Oliver Kruse

Manual testing

5026057

315204804308826018748776641612281

24626554505083183597811562432267521

8BB6114AA397AD__

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

10¹⁰

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

10²⁰

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