M1 117 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

-unknown-

-unknown-

Cofactor is a certified prime

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	-	-	-	-	0.0000	0.0000%
Target	2⁴⁴	0.0021	75.0000%	500	50000	0.0000	0.6283%	0.0021	75.1571%
Difference	-44	-0.0021	-75.0000%	-500	-50000	0.0000	-0.6283%	-0.0021	-75.1571%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

unknown

0.0000

0.0000%

Target

2⁴⁴

0.0021

75.0000%

500

50000

0.0000

0.6283%

0.0021

75.1571%

Difference

-44

-0.0021

-75.0000%

-500

-50000

0.0000

-0.6283%

-0.0021

-75.1571%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1117	53617	5	15.710	24 2³ × 3	-	8	8	3.928e-12	1.891e-10	3.849e-10
1117	52097396975632061019161168306298561929800115619223 2208204963188406964166233609	78	258.170	23320231412547923464261937469247341956043024001442 8025158891310835704640212 2² × 269 × 1129 × 2069 × 63857 × 1178141 × 24482321 × 50374155958761535337107341003534518449678164481	2014-11-24	24482321	50374155958761535337107341003534518449678164481	1.370e+14	6.489e+34	1.212e+35
1117	hide decimal representation P254 click to show decimal representation	254	843.120		2014-11-24

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1117

53617

15.710

24
2³ × 3

3.928e-12

1.891e-10

3.849e-10

1117

52097396975632061019161168306298561929800115619223
2208204963188406964166233609

258.170

23320231412547923464261937469247341956043024001442
8025158891310835704640212
2² × 269 × 1129 × 2069 × 63857 × 1178141 × 24482321 × 50374155958761535337107341003534518449678164481

2014-11-24

24482321

50374155958761535337107341003534518449678164481

1.370e+14

6.489e+34

1.212e+35

1117

P254

click to show decimal representation

254

843.120

2014-11-24

exponent	prime factors	composite factor	digits	bits*
1117	53617 52097396975632061019161168306298561929800115619223 2208204963188406964166233609	27933061336424642156643643610788099949900927991558 914307325511272816197700947413753	83	273.880

ECM factoring results:

Total ECM effort:	31,228.016 GHz-days
Estimated T-Level:	54.961

Digits	B1	Complete	FacMiss
20	11000	3,692.006	0.000%
25	50000	1,326.717	0.000%
30	250000	585.362	0.000%
35	1000000	208.355	0.000%
40	3000000	65.243	0.000%
45	11000000	17.764	0.000%
50	44000000	4.392	1.237%
55	110000000	0.992	37.077%
60	260000000	0.206	81.416%
65	800000000	0.040	96.102%
70	2400000000	0.007	99.283%
75	7200000000	0.001	99.885%

ECM Summary

B1	B2	curves	GHz-days
50000	50000	1	1.15329e-5
260000000	26000000000	301	26.63
500000000	50000000000	328	55.80
500000000	500000000000	1	0.668
1000000000	1000000000	2,700	622.8
1000000000	10000000000000	2,702	30,522

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-13	Carsten Kossendey	durandal	260000000	26000000000						1	0.088
2009-11-10	James Hintz	4115	260000000	26000000000						300	26.54
2012-09-21	Never Odd Or Even	Sandy	500000000	50000000000						1	0.170
2012-09-22	Never Odd Or Even	Sandy	500000000	500000000000						1	0.668
2012-09-22	Never Odd Or Even	Q9550	500000000	50000000000						327	55.63
2013-06-03	Never Odd Or Even	Dad	1000000000	10000000000000						1	11.30
2013-06-17	Never Odd Or Even	Dad	1000000000	1000000000						229	52.82
2013-06-17	Never Odd Or Even	Dad	1000000000	1000000000						232	53.51
2013-06-17	Never Odd Or Even	Dad	1000000000	1000000000						189	43.59
2013-06-17	Never Odd Or Even	Dad	1000000000	1000000000						232	53.51
2013-06-20	Never Odd Or Even	Manual testing	1000000000	10000000000000						883	9,974
2013-11-28	Never Odd Or Even	Dad	1000000000	1000000000						453	104.5
2013-11-28	Never Odd Or Even	Dad	1000000000	1000000000						447	103.1
2013-11-28	Never Odd Or Even	Dad	1000000000	1000000000						457	105.4
2013-11-28	Never Odd Or Even	Dad	1000000000	1000000000						461	106.3
2013-12-06	Never Odd Or Even	Manual testing	1000000000	10000000000000						1818	20,536
2014-01-17	Never Odd Or Even	Dad	50000	50000						1	1.15329e-5

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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10⁸

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10¹

10²

10³

10⁴

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10¹⁴

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10¹⁸

10¹⁹

10²⁰

10²¹

10²²

10²³

10²⁴

10²⁵

10²⁶

10²⁷

10²⁸

10²⁹

10³⁰

10³¹

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10³³

10³⁴

10³⁵

10³⁶

10³⁷

10³⁸

10³⁹

10⁴⁰

10⁴¹

10⁴²

10⁴³

10⁴⁴

10⁴⁵

10⁴⁶

10⁴⁷

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