M770669 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	38.5560	70.1493%	7706690	231200700	0.5758	9.2123%	39.1318	72.8992%	2.7499%
PrimeNet	2⁴⁰	0.0000	50.0000%	7000	280000	0.0006	22.0208%	0.0006	61.0104%	11.0104%
GPU72	2⁴⁴	0.0000	54.5455%	13000	500000	0.0011	17.0473%	0.0011	62.2942%	7.7488%
Difference	+23	+38.5560	+15.6038%	+7693690	+230700700	+0.5747	-7.8350%	+39.1307	+10.6050%	+10.6050%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
770669	1523491768626479915755313	25	80.334	988421597745906424 2³ × 123552699718238303	2016-02-12	8	123552699718238303	388,156	194,942,136	364,097,622

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-02T00:00:00	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.201%
2002-02-03T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.430%
2002-03-24T00:00:00	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.002	-	-	0.777%
2002-05-18T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.003	-	-	1.264%
2002-07-20T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.006	-	-	1.897%
2002-12-02T00:00:00	ANONYMOUS	v4_computers	65537	6553700		-		-	-	0.012	-	-	2.671%
2003-07-13T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.024	-	-	3.572%
2011-07-10T12:45:00	Jocelyn Larouche	Manual testing	279426	279426		-		-	-	0.008	-	-	1.335%
2011-08-24T01:39:00	Jocelyn Larouche	Manual testing	465711	465711		-		-	-	0.013	-	-	1.697%
2011-12-10T20:03:00	Jocelyn Larouche	Manual testing	931423	931423		-		-	-	0.027	-	-	2.270%
2012-07-21T19:06:00	Jocelyn Larouche	Manual testing	1541338	1541338		-		-	-	0.045	-	-	2.747%
2013-10-26T15:30:00	David Campeau	i5-2500k	1685000	57290000		-		-	-	0.137	-	-	6.612%
2015-11-20T05:39:17	Sid & Andy	Speck	7706690	231200700	12	-		-	-	0.576	-	-	9.212%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-09-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.006	-	-
2001-03-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.012	-	-
2001-12-22T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.025	-	-
2003-09-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.050	-	-
2008-10-11T01:23:00	Sturle Sunde	goober.ifi	2⁵⁸	2⁵⁹		-	-	0.050	-	-
2008-10-11T01:54:00	Sturle Sunde	goober.ifi	2⁵⁹	2⁶⁰		-	-	0.100	-	-
2010-06-24T15:37:00	Architects Cubed	m1_fw	2⁶⁰	2⁶¹		-	-	0.199	-	-
2015-03-06T23:11:00	NR	Manual testing	2⁶¹	2⁶²		-	-	0.399	-	-
2015-10-22T08:40:26	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.274	-	-
2015-10-22T08:40:26	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	2.548	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.402 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:	11.402 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		279	6.350
50000	5000000	1523491768626479915755313	2	0.046
250000	25000000		44	5.007

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-01T01:19:00	Chad Davis	Bayes	50000	5000000						1	0.023
2008-01-16T13:56:00	Steve Scott	Abit-3	50000	5000000						3	0.068
2008-09-20T02:10:00	Sturle Sunde	v21	50000	5000000						3	0.068
2008-12-17T22:46:00	Sturle Sunde	v23	50000	5000000						3	0.068
2009-03-15T03:50:00	Sturle Sunde	v21	50000	5000000						3	0.068
2009-06-30T16:59:00	maxybo	CB418E216	50000	5000000						3	0.068
2009-09-05T14:49:00	Lupo	yorick	50000	5000000						3	0.068
2009-10-31T11:59:00	ClknGo Software Corp	cngs1	50000	5000000						3	0.068
2010-02-04T03:02:00	James Hintz	chris3	50000	5000000						3	0.068
2010-06-14T16:46:00	Charles A. Morris	magnetar	50000	5000000						3	0.068
2010-12-05T16:18:00	James Hintz	17_051310	50000	5000000						3	0.068
2011-02-01T22:28:00	Jocelyn Larouche	Manual testing	50000	5000000						1	0.023
2011-04-05T07:37:00	Sara	1	50000	5000000						3	0.068
2011-11-12T14:14:00	OS1	Tina	50000	5000000						3	0.068
2012-04-11T02:26:00	alpertron	core2quad	50000	5000000						3	0.068
2012-08-10T20:18:00	soldake		50000	5000000						3	0.068
2012-12-23T02:22:00	gucs	echo3	50000	5000000						3	0.068
2013-03-04T02:49:00	gucs	echo3	50000	5000000						3	0.068
2013-05-04T19:10:00	Sara	Sara	50000	5000000						3	0.068
2013-07-12T09:20:00	gucs	echo3	50000	5000000						3	0.068
2013-09-18T19:07:00	gucs	echo3	50000	5000000						3	0.068
2013-11-24T18:53:00	gucs	echo3	50000	5000000						3	0.068
2014-01-27T17:21:00	gucs	echo3	50000	5000000						3	0.068
2014-03-08T20:50:00	Ryan Schulz	wenn	50000	5000000						15	0.341
2015-02-22T20:06:00	Bruce	desk16	50000	5000000						3	0.068
2015-02-26T20:12:00	Bruce	desk16	50000	5000000						3	0.068
2015-05-18T07:49:00	guru	h1	50000	5000000						3	0.068
2015-11-13T11:49:05	TJAOI	Manual testing	50000	5000000						11	0.250
2016-02-02T03:10:50	Bruce	Desk6	50000	5000000						3	0.068
2016-02-03T02:48:11	Bruce	Desk6	50000	5000000						3	0.068
2016-02-04T17:59:39	Bruce	Desk6	50000	5000000						3	0.068
2016-02-06T18:40:31	Bruce	Desk6	50000	5000000						3	0.068
2016-02-08T13:31:27	Bruce	Desk6	50000	5000000						3	0.068
2016-02-10T07:26:55	Bruce	Desk6	50000	5000000						3	0.068
2016-02-12T03:59:01	Bruce	Desk6	50000	5000000	1523491768626479915755313	80.334	2	2		2	0.046
2016-08-05T12:41:08	TJAOI	Manual testing	50000	5000000						70	1.593
2017-01-06T15:36:16	TJAOI	Manual testing	50000	5000000						91	2.071
2019-02-22T12:20:13	TJAOI	Manual testing	250000	25000000						44	5.007

date	userid	compid	res64	spent (GHz-days)
2002-10-26T00:00:00	ANONYMOUS	v4_computers	B2AEE0D7880159FD	0.015
2015-04-11T15:48:00	MadPoo	Manual testing	B2AEE0D7880159FD	0.015

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 = 7706690, B2 = 231200700 (P-1 stage 2)

B1 = 7706690 (P-1 stage 1)

B1 = 1685000, B2 = 57290000 (P-1 stage 2)

B1 = 1685000 (P-1 stage 1)

B1 = 1541338 (P-1 stage 1)

B1 = 931423 (P-1 stage 1)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

B1 = 465711 (P-1 stage 1)

B1 = 65537, B2 = 6553700 (P-1 stage 2)

B1 = 279426 (P-1 stage 1)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 131072 (P-1 stage 1)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

B1 = 65537 (P-1 stage 1)

B1 = 8192, B2 = 819200 (P-1 stage 2)

B1 = 32768 (P-1 stage 1)

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

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 200000 (P-1 stage 2)

B1 = 8192 (P-1 stage 1)

B1 = 4096 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

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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