M2817709 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	2⁶⁹	42.3702	68.1159%	5000000	200000000	1.7498	8.4860%	44.1199	70.8216%	2.7057%
PrimeNet	2⁵⁹	0.0273	62.7119%	12000	240000	0.0027	2.9304%	0.0300	63.8046%	1.0927%
GPU72	2⁶³	0.5664	65.0794%	15000	260000	0.0032	1.7919%	0.5696	65.7051%	0.6257%
Difference	+6	+41.8037	+3.0366%	+4985000	+199740000	+1.7466	+6.6941%	+43.5504	+5.1165%	+5.1165%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2817709	164437829422523395658177	24	77.122	29179349148993632 2⁵ × 115589 × 7888766759	2021-09-22	115589	7888766759	12,067	48.147	89.902

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-11-28T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.196%
2016-09-13T03:53:09	Jocelyn Larouche	low 4M	135056	3300000	6	-		-	-	0.034	-	-	2.612%
2016-09-21T12:09:26	Jocelyn Larouche	low 4M	135056	3630000		-		-	-	0.036	-	-	2.668%
2016-12-21T00:33:38	Jocelyn Larouche	low 4M	194480	194480		-		-	-	0.022	-	-	1.064%
2017-01-10T10:25:18	Jocelyn Larouche	low 4M	233376	233376		-		-	-	0.026	-	-	1.170%
2017-03-17T00:52:41	Jocelyn Larouche	low 4M	336061	3360610	6	-		-	-	0.056	-	-	3.028%
2018-09-03T21:22:26	Jocelyn Larouche	low 4M	499273	499273		-		-	-	0.056	-	-	1.681%
2019-10-03T23:34:07	masser	Manual testing	2817709	28177090	12	-		-	-	0.470	-	-	5.851%
2020-01-19T15:04:42	masser	Manual testing	5000000	200000000	12	-		-	-	1.750	-	-	8.486%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:22	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.055	-	-
2009-02-12T22:15:00	Sturle Sunde	fizir.ifi	2⁶⁰	2⁶¹		-	-	0.055	-	-
2012-02-22T09:25:00	Grant McCracken	thumper	2⁶¹	2⁶²		-	-	0.109	-	-
2013-01-10T10:21:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.348	-	-
2015-04-21T09:19:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.697	-	-
2015-04-21T09:19:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.326	-	-
2016-02-12T10:12:10	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.652	-	-
2017-10-24T17:48:50	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.304	-	-
2019-01-01T23:16:49	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	10.61	-	-
2021-05-19T10:49:44	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	21.22	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.644 GHz-days
Estimated T-Level:	21.804

Digits	B1	Curves	Complete	FacMiss
20	11000	101 / 100	1.010	36.237%
25	50000	101 / 280	0.361	69.673%

New Calculation Method

Total ECM effort:	10.644 GHz-days
Estimated T-Level:	21.804

Digits	B1	Complete	FacMiss
20	11000	3.274	3.787%
25	50000	0.296	74.364%
30	250000	0.018	98.192%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		93	9.70
50000	5000000	164437829422523395658177	1	0.104
50000	6750000		7	0.841

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-26T15:56:00	Lukasz Wrobel	UNIX_05	50000	5000000						3	0.313
2010-10-25T05:18:00	James Hintz	ryan	50000	5000000						3	0.313
2013-03-30T04:00:00	Donna Noble	PH2x6	50000	5000000						3	0.313
2015-03-28T05:47:00	Bruce	desk16	50000	5000000						3	0.313
2016-02-22T13:48:47	Cire Sivad	ServerEJAA	50000	5000000						3	0.313
2016-06-05T13:08:09	Jason U	Server7	50000	5000000						3	0.313
2017-02-20T20:40:32	Bruce	eleven	50000	5000000						3	0.313
2017-09-05T08:17:47	Marius Zens	KBWR_TV3	50000	5000000						3	0.313
2018-02-28T21:00:09	Angel Pescador		50000	5000000						3	0.313
2018-12-30T21:28:27	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.313
2020-09-02T10:11:58	daveward2005	Dave2	50000	5000000						7	0.730
2020-10-08T05:51:12	LaurV	3tits	50000	5000000						7	0.730
2020-11-02T15:11:31	mnd9	f4b	50000	5000000						7	0.730
2020-12-07T13:44:30	lycorn	colab_S_1	50000	5000000						7	0.730
2021-01-09T00:29:38	daveward2005	Dave2	50000	5000000						7	0.730
2021-02-08T17:56:08	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.730
2021-03-08T22:34:27	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.730
2021-06-07T05:08:44	kutens	canopus	50000	5000000						7	0.730
2021-06-18T09:46:32	Anton Evers	windows_laptop	50000	5000000						7	0.730
2021-07-16T21:32:51	kutens	terra	50000	6750000						7	0.841
2021-09-22T19:37:56	MarkS	desktop-i7	50000	5000000	164437829422523395658177	77.122	1	2	2609409972373822	1	0.104

date	userid	compid	res64	spent (GHz-days)
1999-08-07T00:00:00	ANONYMOUS	v4_computers	618DDD186E1AECE2	0.218
2018-09-06T07:26:58	kkmrkkblmbrbk	old	618DDD186E1AECE2	0.218

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 = 5000000, B2 = 200000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 2817709, B2 = 28177090 (P-1 stage 2)

B1 = 2817709 (P-1 stage 1)

B1 = 336061, B2 = 3360610 (P-1 stage 2)

B1 = 499273 (P-1 stage 1)

B1 = 336061 (P-1 stage 1)

B1 = 135056, B2 = 3630000 (P-1 stage 2)

B1 = 135056, B2 = 3300000 (P-1 stage 2)

B1 = 233376 (P-1 stage 1)

B1 = 194480 (P-1 stage 1)

B1 = 135056 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10²

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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