M2639149 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	2⁶⁸	22.5849	67.6471%	2640000	26400000	0.4406	6.2307%	23.0255	69.6629%	2.0158%
PrimeNet	2⁵⁹	0.0291	62.7119%	11000	200000	0.0024	2.7023%	0.0315	63.7195%	1.0076%
GPU72	2⁶³	0.6047	65.0794%	13000	200000	0.0026	1.5735%	0.6073	65.6288%	0.5495%
Difference	+5	+21.9801	+2.5677%	+2627000	+26200000	+0.4380	+4.6572%	+22.4182	+4.0340%	+4.0340%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2639149	298909141106660602937	21	68.018	56629834296332 2² × 11 × 1287041688553	2020-11-23	11	1287041688553	44.805	7,853.1	14,667

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-31T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.239%
2009-06-21T14:26:00	harlee	P4_2600	30000	420000		-		-	-	0.006	-	-	1.206%
2011-01-17T06:36:00	James Heinrich	i7-920	180000	4320000		-		-	-	0.045	-	-	3.234%
2016-12-26T22:14:24	Jocelyn Larouche	low 4M	171988	171988		-		-	-	0.019	-	-	1.125%
2016-12-28T03:20:09	Jocelyn Larouche	low 4M	206385	206385		-		-	-	0.023	-	-	1.237%
2017-05-08T05:55:52	Jocelyn Larouche	low 4M	360000	3600000	6	-		-	-	0.060	-	-	3.421%
2019-11-04T17:20:42	masser	Manual testing	2640000	26400000	12	-		-	-	0.441	-	-	6.231%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-26T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2016-02-23T16:29:18	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.029	-	-
2009-01-27T22:01:00	Sturle Sunde	kinner.ifi	2⁶⁰	2⁶¹		-	-	0.058	-	-
2012-06-11T11:18:00	Grant McCracken	home	2⁶¹	2⁶²		-	-	0.116	-	-
2013-01-14T11:57:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.372	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.744	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.416	-	-
2016-01-21T23:03:48	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.831	-	-
2017-09-08T08:21:15	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.663	-	-
2019-03-11T11:16:29	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.33	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	7.328 GHz-days
Estimated T-Level:	3.550

Digits	B1	Curves	Complete	FacMiss
20	11000	71 / 100	0.710	48.989%
25	50000	71 / 280	0.254	77.567%

New Calculation Method

Total ECM effort:	7.328 GHz-days
Estimated T-Level:	3.550

Digits	B1	Complete	FacMiss
20	11000	2.731	6.517%
25	50000	0.253	77.672%
30	250000	0.016	98.419%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		69	7.122
50000	5000000	298909141106660602937	2	0.206

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-03T06:50:00	alan145	Bear4	50000	5000000						3	0.310
2010-06-24T18:58:00	SubPrime	abd0	50000	5000000						3	0.310
2012-11-28T06:01:00	Donna Noble	CCI_PH2_955	50000	5000000						3	0.310
2014-10-26T17:03:00	arnaud	SPR05	50000	5000000						3	0.310
2016-01-03T17:01:30	dragon325	Falken-i7-920	50000	5000000						3	0.310
2016-04-03T21:22:45	Jason U	Server7	50000	5000000						3	0.310
2016-09-09T16:07:55	ANONYMOUS	PD925	50000	5000000						3	0.310
2017-07-05T08:23:00	Tom Bammann	Laura-Laptop	50000	5000000						3	0.310
2017-10-30T06:06:41	Sebastian Hornbostel	V2	50000	5000000						3	0.310
2018-05-04T09:09:09	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2019-04-03T09:21:10	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2020-07-13T05:59:20	anon	24922063	50000	5000000						3	0.310
2020-07-20T18:30:09	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.310
2020-07-24T19:54:05	GAN	LMS-04	50000	5000000						3	0.310
2020-07-31T22:07:00	GAN	LMS-02	50000	5000000						3	0.310
2020-08-08T15:32:48	lycorn	colab_ES	50000	5000000						3	0.310
2020-08-18T06:31:43	M. R. Mayer	nimbus	50000	5000000						7	0.722
2020-09-20T02:34:46	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.722
2020-10-19T18:36:33	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.722
2020-11-23T10:21:14	rextherunt	ice	50000	5000000	298909141106660602937	68.018	2	2		2	0.206

date	userid	compid	res64	spent (GHz-days)
1999-04-23T00:00:00	ANONYMOUS	v4_computers	C9791FA14C5F8272	0.204
2018-07-12T08:30:45	kkmrkkblmbrbk	old	C9791FA14C5F8272	0.204

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 = 2640000, B2 = 26400000 (P-1 stage 2)

B1 = 2640000 (P-1 stage 1)

B1 = 360000, B2 = 3600000 (P-1 stage 2)

B1 = 180000, B2 = 4320000 (P-1 stage 2)

B1 = 360000 (P-1 stage 1)

B1 = 206385 (P-1 stage 1)

B1 = 180000 (P-1 stage 1)

B1 = 171988 (P-1 stage 1)

B1 = 30000, B2 = 420000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

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

B1 = 2048 (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