M788009 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	37.7076	70.1493%	7880090	236402700	0.5888	9.2728%	38.2964	72.9172%	2.7680%
PrimeNet	2⁴⁰	0.0000	50.0000%	7000	300000	0.0007	22.2763%	0.0007	61.1382%	11.1382%
GPU72	2⁴⁴	0.0000	54.5455%	13000	500000	0.0011	17.0897%	0.0011	62.3135%	7.7680%
Difference	+23	+37.7076	+15.6038%	+7867090	+235902700	+0.5876	-7.8169%	+38.2952	+10.6037%	+10.6037%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
788009	880054373786950119810401	24	79.542	558403757943722800 2⁴ × 5² × 33749 × 41364466943	2016-02-10	33749	41364466943	166,804	65.266	121.90

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	-	-	0.203%
2002-02-03T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.433%
2002-03-31T00:00:00	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.002	-	-	0.781%
2002-05-18T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.003	-	-	1.270%
2002-07-27T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.006	-	-	1.905%
2002-12-09T00:00:00	ANONYMOUS	v4_computers	65537	6553700		-		-	-	0.012	-	-	2.680%
2003-07-21T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.024	-	-	3.583%
2011-07-10T12:45:00	Jocelyn Larouche	Manual testing	271480	271480		-		-	-	0.008	-	-	1.321%
2011-08-28T21:10:00	Jocelyn Larouche	Manual testing	452467	452467		-		-	-	0.013	-	-	1.681%
2012-01-09T00:59:00	Jocelyn Larouche	Manual testing	904935	904935		-		-	-	0.026	-	-	2.251%
2012-07-21T19:06:00	Jocelyn Larouche	Manual testing	1576018	1576018		-		-	-	0.046	-	-	2.777%
2013-11-04T15:24:00	David Campeau	i5-2500k	1630000	55420000		-		-	-	0.132	-	-	6.571%
2015-11-25T19:31:56	Sid & Andy	Speck	7880090	236402700	12	-		-	-	0.589	-	-	9.273%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-10-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.006	-	-
2001-02-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.012	-	-
2001-12-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.024	-	-
2003-09-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.049	-	-
2008-10-13T05:11:00	Sturle Sunde	papageno.ifi	2⁵⁸	2⁵⁹		-	-	0.049	-	-
2008-10-13T05:41:00	Sturle Sunde	papageno.ifi	2⁵⁹	2⁶⁰		-	-	0.097	-	-
2010-06-08T09:30:00	Architects Cubed	m1_fw	2⁶⁰	2⁶¹		-	-	0.195	-	-
2015-03-07T22:06:00	NR	Manual testing	2⁶¹	2⁶²		-	-	0.390	-	-
2015-10-24T17:52:19	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.246	-	-
2015-10-24T17:52:19	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	2.491	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.427 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:	11.427 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	6.386
50000	5000000	880054373786950119810401	1	0.023
250000	25000000		44	5.018

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-01T15:20:00	Chad Davis	Bayes	50000	5000000						1	0.023
2008-02-17T12:09:00	Scott Kurowski	HomeOffice	50000	5000000						3	0.068
2008-09-23T14:47:00	Sturle Sunde	v21	50000	5000000						3	0.068
2009-01-03T01:31:00	Sturle Sunde	v21	50000	5000000						3	0.068
2009-03-25T15:33:00	Sturle Sunde	v23	50000	5000000						3	0.068
2009-07-08T19:28:00	Lupo	yorick	50000	5000000						3	0.068
2009-09-12T15:27:00	JimBa	HPserv	50000	5000000						3	0.068
2009-11-09T01:53:00	SubPrime	c2d0	50000	5000000						3	0.068
2010-02-24T14:53:00	sannerud.com	snap2	50000	5000000						3	0.068
2010-06-30T18:20:00	Charles A. Morris	magnetar	50000	5000000						3	0.068
2010-12-30T04:41:00	Eric Christenson	HP_DC7900_SFF_PC	50000	5000000						3	0.068
2011-03-12T00:27:00	Eric Christenson	HP_DC7900_SFF_PC	50000	5000000						3	0.068
2012-01-28T21:57:00	Pool Party	sts	50000	5000000						3	0.068
2012-04-06T07:16:00	Pool Party	sts	50000	5000000						3	0.068
2012-08-11T01:56:00	soldake		50000	5000000						3	0.068
2012-12-24T12:40:00	gucs	echo3	50000	5000000						3	0.068
2013-03-08T03:21:00	gucs	echo3	50000	5000000						3	0.068
2013-05-12T07:49:00	gucs	echo3	50000	5000000						3	0.068
2013-07-21T13:49:00	gucs	echo3	50000	5000000						3	0.068
2013-09-27T05:36:00	gucs	echo3	50000	5000000						3	0.068
2013-12-06T22:34:00	gucs	echo3	50000	5000000						3	0.068
2014-02-11T23:32:00	Bruce	snowflake	50000	5000000						3	0.068
2014-03-14T18:53:00	gucs	echo3	50000	5000000						3	0.068
2014-04-10T13:56:00	gucs	echo3	50000	5000000						3	0.068
2014-05-06T19:36:00	gucs	echo3	50000	5000000						3	0.068
2014-11-15T22:57:00	Ryan Schulz	wenn	50000	5000000						15	0.342
2015-11-13T11:50:51	TJAOI	Manual testing	50000	5000000						12	0.274
2016-02-02T22:49:28	Bruce	Desk6	50000	5000000						3	0.068
2016-02-04T13:05:38	Bruce	Desk6	50000	5000000						3	0.068
2016-02-06T11:19:52	Bruce	Desk6	50000	5000000						3	0.068
2016-02-08T08:16:49	Bruce	Desk6	50000	5000000						3	0.068
2016-02-10T04:15:35	Bruce	Desk6	50000	5000000	880054373786950119810401	79.542	1	2		1	0.023
2016-08-05T12:41:53	TJAOI	Manual testing	50000	5000000						77	1.756
2017-10-06T10:50:56	TJAOI	Manual testing	50000	5000000						91	2.076
2019-06-07T09:10:59	TJAOI	Manual testing	250000	25000000						44	5.018

date	userid	compid	res64	spent (GHz-days)
2015-04-11T15:52:00	MadPoo	Manual testing	745B81F5D1B8816C	0.016

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 = 7880090, B2 = 236402700 (P-1 stage 2)

B1 = 7880090 (P-1 stage 1)

B1 = 1630000, B2 = 55420000 (P-1 stage 2)

B1 = 1630000 (P-1 stage 1)

B1 = 1576018 (P-1 stage 1)

B1 = 904935 (P-1 stage 1)

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

B1 = 452467 (P-1 stage 1)

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

B1 = 271480 (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)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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