M1162969 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	25.5501	68.6567%	15000000	500000000	1.8420	11.0021%	27.3920	72.1051%	3.4484%
PrimeNet	2⁵⁶	0.0083	62.5000%	5000	80000	0.0004	2.2554%	0.0087	63.3458%	0.8458%
GPU72	2⁶⁰	0.1321	65.0000%	5000	26000	0.0003	0.7729%	0.1323	65.2705%	0.2705%
Difference	+7	+25.4180	+3.6567%	+14995000	+499974000	+1.8417	+10.2292%	+27.2597	+6.8346%	+6.8346%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1162969	3394723947974222217183745578673	31	101.421	1459507496749364005912344 2³ × 3 × 17 × 113 × 10163 × 7870879 × 395751493	2018-01-28	7870879	395751493	1.186e+11	1.2897	1.7907

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-03-16T00:00:00	Jocelyn Larouche	v4_computers	1000	1000		-		-	-	4.44667e-5	-	-	0.005%
2002-08-10T00:00:00	Jocelyn Larouche	v4_computers	2000	2000		-		-	-	8.89333e-5	-	-	0.018%
2002-08-10T00:00:00	Jocelyn Larouche	v4_computers	3000	3000		-		-	-	0.000	-	-	0.033%
2002-08-10T00:00:00	Jocelyn Larouche	v4_computers	4000	4000		-		-	-	0.000	-	-	0.049%
2002-08-10T00:00:00	Jocelyn Larouche	v4_computers	5000	5000		-		-	-	0.000	-	-	0.065%
2002-08-17T00:00:00	Jocelyn Larouche	v4_computers	6000	6000		-		-	-	0.000	-	-	0.080%
2002-08-17T00:00:00	Jocelyn Larouche	v4_computers	7000	7000		-		-	-	0.000	-	-	0.095%
2002-08-17T00:00:00	Jocelyn Larouche	v4_computers	8000	8000		-		-	-	0.000	-	-	0.110%
2002-08-17T00:00:00	Jocelyn Larouche	v4_computers	9000	9000		-		-	-	0.000	-	-	0.125%
2002-08-17T00:00:00	Jocelyn Larouche	v4_computers	10000	10000		-		-	-	0.000	-	-	0.139%
2003-09-21T00:00:00	Team Prime Rib	v4_computers	10000	1000000		-		-	-	0.003	-	-	0.985%
2013-10-07T16:36:00	David Campeau	i5-2500k	1215000	35235000		-		-	-	0.136	-	-	6.171%
2016-07-26T22:51:11	Bruno Victal	5820K-factoring	2500000	62500000	12	-		-	-	0.257	-	-	7.241%
2016-07-27T11:35:48	Bruno Victal	Manual testing	2500000	62500000	12	-		-	-	0.257	-	-	7.241%
2018-01-28T18:48:34	mikr	Colorovo	15000000	500000000	12		3394723947974222217183745578673	31	101.421	1.842	0.071	3.684	11.002%

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		-	-	0.008	-	-
2001-11-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.017	-	-
2003-05-04T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.033	-	-
2016-02-23T16:28:23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.099	-	-
2009-02-18T04:27:00	Sturle Sunde	bruckner.ifi	2⁶⁰	2⁶¹		-	-	0.132	-	-
2011-05-09T14:45:00	Xyzzy	Manual testing	2⁶¹	2⁶²		-	-	0.264	-	-
2012-10-11T11:55:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.844	-	-
2014-12-31T09:44:00	Matthias Wurtinger	Manual testing	2⁶³	2⁶⁴		-	-	1.688	-	-
2015-01-03T11:50:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	3.213	-	-
2015-09-17T03:04:00	omylist	Manual testing	2⁶⁵	2⁶⁶		-	-	6.426	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.390 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:	18.390 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		281	10.31
250000	25000000		44	8.075

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-10-11T07:50:00	James Heinrich	WHS	50000	5000000						1	0.037
2008-06-22T21:03:00	Sturle Sunde	v21	50000	5000000						3	0.110
2009-01-08T04:13:00	Sturle Sunde	v23	50000	5000000						3	0.110
2009-06-08T17:53:00	SubPrime	c2d0	50000	5000000						3	0.110
2009-09-16T12:04:00	Geoff Wing	GW1	50000	5000000						3	0.110
2010-01-10T00:29:00	Lupo	yorick	50000	5000000						3	0.110
2010-09-15T22:11:00	unconnected	can-01	50000	5000000						3	0.110
2011-03-07T16:07:00	ClknGo Software Corp	cngs1	50000	5000000						3	0.110
2011-11-19T20:11:00	OS1	Tina	50000	5000000						3	0.110
2012-07-25T13:34:00	soldake		50000	5000000						3	0.110
2013-02-19T04:50:00	OS1	Tina	50000	5000000						3	0.110
2013-10-24T02:48:00	OS1	Tina	50000	5000000						3	0.110
2014-03-01T07:46:00	Bruce	snowflake	50000	5000000						3	0.110
2014-03-09T20:42:00	Bruce	snowflake	50000	5000000						3	0.110
2014-09-07T23:17:00	OS1	Tina	50000	5000000						3	0.110
2015-03-07T20:17:00	Bruce	desk16	50000	5000000						3	0.110
2015-05-25T03:19:00	Jason U	Dell-Win7	50000	5000000						3	0.110
2015-09-21T07:01:00	OS1	Tina	50000	5000000						3	0.110
2016-02-01T15:44:24	arnaud	CHAMOT06	50000	5000000						3	0.110
2016-03-04T11:09:16	raman22feb1988	Nithya	50000	5000000						3	0.110
2016-04-04T09:10:32	raman22feb1988	Santhosh	50000	5000000						3	0.110
2016-05-04T16:21:27	raman22feb1988	Suganya	50000	5000000						3	0.110
2016-06-04T15:19:17	raman22feb1988	Gokul_Nath	50000	5000000						3	0.110
2016-08-01T16:47:58	raman22feb1988	Ashok	50000	5000000						3	0.110
2016-11-16T06:45:07	Dennis Schreiber	hackcenter	50000	5000000						3	0.110
2017-03-28T23:51:41	OS1	Tina	50000	5000000						3	0.110
2017-07-24T03:40:57	OS1	Tina	50000	5000000						3	0.110
2017-08-04T10:37:04	TJAOI	Manual testing	50000	5000000						64	2.349
2018-06-15T13:11:37	TJAOI	Manual testing	50000	5000000						138	5.065
2020-08-21T10:52:29	TJAOI	Manual testing	250000	25000000						44	8.075

date	userid	compid	res64	spent (GHz-days)
2004-08-20T00:00:00	ANONYMOUS	v4_computers	3136374AF8639576	0.036
2016-06-01T18:49:07	MadPoo	Manual testing	3136374AF8639576	0.036

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 = 15000000, B2 = 500000000 (P-1 stage 2)

B1 = 15000000 (P-1 stage 1)

B1 = 2500000, B2 = 62500000 (P-1 stage 2)

B1 = 1215000, B2 = 35235000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 1215000 (P-1 stage 1)

B1 = 10000, B2 = 1000000 (P-1 stage 2)

B1 = 10000 (P-1 stage 1)

B1 = 9000 (P-1 stage 1)

B1 = 8000 (P-1 stage 1)

B1 = 7000 (P-1 stage 1)

B1 = 6000 (P-1 stage 1)

B1 = 5000 (P-1 stage 1)

B1 = 4000 (P-1 stage 1)

B1 = 3000 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

B1 = 1000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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