M849997 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	34.9577	70.1493%	14500000	680000000	1.7848	11.1483%	36.7425	73.4771%	3.3279%
PrimeNet	2⁴⁰	0.0000	50.0000%	8000	320000	0.0009	22.8314%	0.0009	61.4157%	11.4157%
GPU72	2⁴⁴	0.0000	54.5455%	14000	550000	0.0015	17.5688%	0.0015	62.5313%	7.9858%
Difference	+23	+34.9577	+15.6038%	+14486000	+679450000	+1.7833	-6.4205%	+36.7409	+10.9458%	+10.9458%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
849997	202258177474183323827423	24	77.421	118975818428878763 11 × 1511 × 1987 × 3602497469	2016-04-21	1987	3602497469	52,557	6.9016	12.890

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-08T00:00:00	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.207%
2002-02-10T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.441%
2002-04-14T00:00:00	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.002	-	-	0.794%
2002-05-18T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.004	-	-	1.289%
2002-06-23T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.007	-	-	1.930%
2002-12-09T00:00:00	ANONYMOUS	v4_computers	65537	6553700		-		-	-	0.015	-	-	2.712%
2003-08-08T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.029	-	-	3.622%
2009-08-30T11:27:00	Carsten Kossendey	leela	849997	849997		-		-	-	0.030	-	-	2.220%
2012-03-20T00:28:00	Jocelyn Larouche	Manual testing	1230463	1230463		-		-	-	0.043	-	-	2.561%
2012-10-19T21:35:00	Jocelyn Larouche	Manual testing	1999289	199928900		-		-	-	0.449	-	-	8.222%
2014-11-24T12:04:00	mikr	Colorovo	14500000	680000000		-		-	-	1.785	-	-	11.148%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.006	-	-
2001-01-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.011	-	-
2001-11-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.023	-	-
2003-09-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.045	-	-
2008-10-10T21:37:00	Sturle Sunde	zumthor.ifi	2⁵⁸	2⁵⁹		-	-	0.045	-	-
2008-10-10T22:08:00	Sturle Sunde	zumthor.ifi	2⁵⁹	2⁶⁰		-	-	0.090	-	-
2010-05-22T11:30:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.181	-	-
2015-02-20T13:21:00	TJAOI	Manual testing	2⁶¹	2⁶²		-	-	0.361	-	-
2015-10-03T15:17:38	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.155	-	-
2015-10-03T15:17:38	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	2.310	-	-
2016-02-03T13:40:43	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	4.396	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.984 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:	13.984 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		278	7.759
50000	5000000	202258177474183323827423	3	0.084
250000	25000000		44	6.141

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-05T02:21:00	Chad Davis	Bayes	50000	5000000						1	0.028
2008-01-24T11:05:00	Steve Scott	Abit-2	50000	5000000						3	0.084
2008-10-13T14:07:00	Sturle Sunde	v1	50000	5000000						3	0.084
2009-01-29T21:18:00	Sturle Sunde	v21	50000	5000000						3	0.084
2009-04-12T06:25:00	paulie	iMac3.4	50000	5000000						3	0.084
2009-08-07T18:00:00	JimBa	HPserv	50000	5000000						3	0.084
2009-10-10T07:35:00	JimBa	HPserv	50000	5000000						3	0.084
2010-01-12T01:21:00	arnaud	SRV-150	50000	5000000						3	0.084
2010-05-05T14:47:00	toji	tablepc2	50000	5000000						3	0.084
2010-11-29T21:16:00	Charles A. Morris	magnetar	50000	5000000						3	0.084
2011-02-14T09:39:00	Eric Christenson	HP_DC7900_SFF_PC	50000	5000000						3	0.084
2011-11-27T23:57:00	Carsten Kossendey	mother	50000	5000000						10	0.279
2013-02-04T17:20:00	gucs	echo3	50000	5000000						3	0.084
2013-04-20T01:07:00	gucs	echo3	50000	5000000						3	0.084
2013-06-29T08:54:00	gucs	echo3	50000	5000000						3	0.084
2013-09-12T15:55:00	gucs	echo3	50000	5000000						3	0.084
2013-11-27T19:10:00	gucs	echo3	50000	5000000						3	0.084
2014-02-07T17:13:00	Ryan Schulz	wenn-old	50000	5000000						15	0.419
2015-02-22T02:31:00	Bruce	desk16	50000	5000000						3	0.084
2015-02-25T18:17:00	Bruce	desk16	50000	5000000						3	0.084
2015-03-04T19:51:00	Bruce	desk16	50000	5000000						3	0.084
2016-01-13T13:02:43	Conductor	Andrew	50000	5000000						3	0.084
2016-01-15T14:50:56	TJAOI	Manual testing	50000	5000000						20	0.558
2016-03-30T15:16:28	Oussama Kiamouche	Home	50000	5000000						3	0.084
2016-04-07T12:40:55	Luigi Morelli	rebirth	50000	5000000						3	0.084
2016-04-14T22:03:11	Luigi Morelli	rebirth	50000	5000000						3	0.084
2016-04-21T09:14:48	Bruce	wft	50000	5000000	202258177474183323827423	77.421	3	2		3	0.084
2016-08-02T16:13:47	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02T16:13:51	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02T16:14:14	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02T16:14:18	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02T16:15:43	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02T16:15:46	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-12-23T15:37:23	TJAOI	Manual testing	50000	5000000						57	1.591
2017-06-30T19:46:45	TJAOI	Manual testing	50000	5000000						91	2.540
2020-07-27T10:58:02	TJAOI	Manual testing	250000	25000000						44	6.141

date	userid	compid	res64	spent (GHz-days)
2015-04-11T21:16:00	MadPoo	Manual testing	730E8B9263174472	0.021

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 = 14500000, B2 = 680000000 (P-1 stage 2)

B1 = 14500000 (P-1 stage 1)

B1 = 1999289, B2 = 199928900 (P-1 stage 2)

B1 = 1999289 (P-1 stage 1)

B1 = 1230463 (P-1 stage 1)

B1 = 849997 (P-1 stage 1)

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

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

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

10⁸

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