M1117013 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	26.6012	68.6567%	5000000	5000000	0.2149	4.2287%	26.8161	69.9821%	1.3254%
PrimeNet	2⁵⁶	0.0086	62.5000%	4500	70000	0.0003	2.0801%	0.0089	63.2800%	0.7800%
GPU72	2⁶⁰	0.1375	65.0000%	4500	22000	0.0002	0.6863%	0.1377	65.2402%	0.2402%
Difference	+7	+26.4637	+3.6567%	+4995500	+4978000	+0.2146	+3.5424%	+26.6784	+4.7419%	+4.7419%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1117013	5238908312743064666547601	25	82.116	2345052525236082600 2³ × 3 × 5² × 17 × 41 × 739 × 7587943837	2018-02-23	739	7587943837	1,537,356	17.767	33.184
1117013	240850152850568639479079156393	30	97.604	107809914858004624601092 2² × 379 × 809 × 85717 × 557551 × 1839329	2015-03-12	557551	1839329	4.062e+10	0.0270	0.0488

exponent	prime factors	composite factor	digits	bits*
1117013	5238908312743064666547601 240850152850568639479079156393	12617918678942817778093256610889562434961095348579 63193	55	179.720

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-08-26T00:00:00	ANONYMOUS	v4_computers	15000	221250		-		-	-	0.001	-	-	0.771%
2003-02-09T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.231%
2003-02-16T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.473%
2014-03-31T21:13:00	Jocelyn Larouche	Manual testing	500000	500000		-		-	-	0.021	-	-	1.852%
2015-03-12T13:12:00	mikr	MSI	5000000	5000000			240850152850568639479079156393	30	97.604	0.215	0.066	0.430	4.229%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-07-12T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.009	-	-
2001-12-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.017	-	-
2003-02-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.034	-	-
2003-03-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.069	-	-
2022-03-07T17:30:52	LordJulius	Manual testing	2⁵⁹	2⁶⁰		-	-	0.069	-	-
2009-02-14T22:56:00	Sturle Sunde	gorky.ifi	2⁶⁰	2⁶¹		-	-	0.138	-	-
2011-05-09T14:44:00	Xyzzy	Manual testing	2⁶¹	2⁶²		-	-	0.275	-	-
2012-10-13T12:00:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.879	-	-
2014-12-22T09:46:00	Matthias Wurtinger	Manual testing	2⁶³	2⁶⁴		-	-	1.758	-	-
2014-12-31T18:27:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	3.345	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.672 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	325 / 100	3.250	3.815%
25	50000	325 / 280	1.161	31.261%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	17.672 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	12.731	0.000%
25	50000	1.349	25.941%
30	250000	0.108	89.793%
35	1000000	0.007	99.295%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	9.88
50000	5000000	5238908312743064666547601	1	0.035
250000	25000000		44	7.760

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-10-05T05:22:00	Chad Davis	Bayes	50000	5000000						1	0.035
2008-05-02T22:09:00	Sturle Sunde	jobbtest	50000	5000000						3	0.106
2009-01-07T18:04:00	Sturle Sunde	v21	50000	5000000						3	0.106
2009-05-26T15:40:00	Lukasz Wrobel	WORKER-1	50000	5000000						3	0.106
2009-09-03T15:12:00	Geoff Wing	GW1	50000	5000000						3	0.106
2009-12-07T10:29:00	Geoff Wing	GW1	50000	5000000						3	0.106
2010-05-10T20:33:00	Geoff Wing	GW1	50000	5000000						3	0.106
2011-01-22T19:47:00	unconnected	can-01	50000	5000000						3	0.106
2011-10-23T00:51:00	Bruce	GTLT-4540GZ	50000	5000000						3	0.106
2012-06-21T05:10:00	soldake	athlonx3_435_unlock	50000	5000000						3	0.106
2012-10-16T02:48:00	OS1	Tina	50000	5000000						3	0.106
2013-06-12T13:26:00	OS1	Tina	50000	5000000						3	0.106
2013-12-13T01:51:00	OS1	Tina	50000	5000000						3	0.106
2014-03-03T10:30:00	Bruce	snowflake	50000	5000000						3	0.106
2014-04-25T03:51:00	OS1	Tina	50000	5000000						3	0.106
2014-12-18T09:20:00	OS1	Tina	50000	5000000						3	0.106
2017-05-05T18:40:01	TJAOI	Manual testing	50000	5000000						94	3.316
2018-02-23T11:29:58	TJAOI	Manual testing	50000	5000000	5238908312743064666547601	82.116	1	2		1	0.035
2018-02-23T11:29:59	TJAOI	Manual testing	50000	5000000						140	4.938
2020-08-28T11:13:06	TJAOI	Manual testing	250000	25000000						44	7.760

date	userid	compid	res64	spent (GHz-days)
2004-03-01T00:00:00	ANONYMOUS	v4_computers	763AD3C7513EED1E	0.033

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-29T03:36:48

Oliver Kruse

GTX-2

240850152850568639479079156393

D8FD492F49BD65__

2017-10-16T18:26:17

Oliver Kruse

Threadripper

240850152850568639479079156393

D8FD492F49BD65__

2018-01-02T09:01:07

ATH

work

240850152850568639479079156393

D8FD492F49BD65__

2018-02-26T14:00:44

marcomich

sisg6

5238908312743064666547601

240850152850568639479079156393

3ACD6618919137__

2018-02-28T04:15:34

Oliver Kruse

GTX-0

5238908312743064666547601

240850152850568639479079156393

3ACD6618919137__

2018-03-07T13:54:28

AdolfNor

Manual testing

5238908312743064666547601

240850152850568639479079156393

3ACD6618919137__

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 = 5000000 (P-1 stage 1)

B1 = 500000 (P-1 stage 1)

B1 = 15000, B2 = 221250 (P-1 stage 2)

B1 = 4096, B2 = 409600 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

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

B1 = 4096 (P-1 stage 1)

B1 = 2048 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

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