M1720669 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	34.6405	69.1176%	1720669	189273590	0.8147	7.9494%	35.4553	71.5726%	2.4550%
PrimeNet	2⁵⁷	0.0112	63.1579%	8000	140000	0.0010	2.7935%	0.0122	64.1871%	1.0292%
GPU72	2⁶¹	0.1785	65.5738%	7000	110000	0.0009	1.3438%	0.1794	66.0364%	0.4626%
Difference	+7	+34.4620	+3.5439%	+1713669	+189163590	+0.8139	+6.6057%	+35.2759	+5.5362%	+5.5362%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1720669	22568199109195337178514663	26	84.222	6557972250675561999 3 × 2185990750225187333	2019-08-26	3	2185990750225187333	3,478,994	8.127e+9	1.518e+10
1720669	129302873938324970977919863	27	86.741	37573430432676177399 3 × 797146681 × 15711633893	2020-04-06	797146681	15711633893	13,915,975	109.85	110.71

exponent	prime factors	composite factor	digits	bits*
1720669	22568199109195337178514663 129302873938324970977919863	29181330044313025895452914617174809778869757844511 69	52	170.963

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-08T15:59:00	Carsten Kossendey	leela	90000	1507500		-		-	-	0.011	-	-	2.086%
2014-04-04T00:13:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.007	-	-	0.767%
2014-05-03T14:50:00	Jocelyn Larouche	Manual testing	150000	150000		-		-	-	0.010	-	-	0.969%
2014-10-06T21:12:00	Jocelyn Larouche	Manual testing	187302	187302		-		-	-	0.013	-	-	1.094%
2015-01-09T22:25:00	Jocelyn Larouche	Manual testing	280953	280953		-		-	-	0.019	-	-	1.345%
2015-02-12T12:33:00	Jocelyn Larouche	Manual testing	373947	373947		-		-	-	0.026	-	-	1.541%
2015-02-21T10:56:00	David Campeau	i5-2500k	1500000	65000000		-		-	-	0.338	-	-	6.670%
2018-02-04T03:38:01	Jocelyn Larouche	low 4M	1500000	1500000		-		-	-	0.102	-	-	2.724%
2018-02-04T12:41:54	Jocelyn Larouche	low 4M	1720669	65000000	12	-		-	-	0.353	-	-	6.757%
2018-03-15T11:41:47	Jocelyn Larouche	low 4M	1720669	130000000	12	-		-	-	0.594	-	-	7.528%
2018-03-31T08:56:44	Jocelyn Larouche	low 4M	1720669	172066900	12	-		-	-	0.751	-	-	7.842%
2018-10-17T22:59:47	Jocelyn Larouche	low 4M	1720669	189273590	12	-		-	-	0.815	-	-	7.949%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-02-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2016-02-23T16:28:48	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.067	-	-
2010-04-22T12:47:00	Architects Cubed	m1_76l	2⁶⁰	2⁶¹		-	-	0.089	-	-
2016-02-23T16:28:48	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.179	-	-
2010-10-27T20:37:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.928	-	-
2016-02-23T16:28:48	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.571	-	-
2015-05-03T17:07:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.141	-	-
2015-05-03T17:07:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.171	-	-
2015-09-02T13:37:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.343	-	-
2018-05-07T13:42:46	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.686	-	-
2019-08-06T10:06:03	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.37	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.939 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	14.939 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.097	0.030%
25	50000	0.732	48.105%
30	250000	0.045	95.594%
35	1000000	0.002	99.794%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		130	7.737
50000	5000000	22568199109195337178514663	24	1.428
50000	5000000	129302873938324970977919863	97	5.773

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-05T09:05:00	James Heinrich	Q6600	50000	5000000						3	0.179
2009-09-27T02:08:00	Piepen	T41-2000	50000	5000000						3	0.179
2010-07-26T10:14:00	Martti Järvi	slave	50000	5000000						3	0.179
2011-12-05T01:16:00	Wojciech Florek	gafel	50000	5000000						3	0.179
2013-04-26T22:22:00	Donna Noble	opt4820	50000	5000000						3	0.179
2014-01-25T12:52:00	Sara	Sara	50000	5000000						3	0.179
2014-10-27T11:49:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.179
2015-06-29T04:59:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.179
2015-10-15T06:04:09	mikr	MSI	50000	5000000						12	0.714
2016-09-18T14:44:23	Bruce	DESK3	50000	5000000						3	0.179
2016-11-20T01:54:03	Chang Chia-Tche	exbpc13	50000	5000000						3	0.179
2017-01-13T23:50:13	Bruce	DESK3	50000	5000000						3	0.179
2017-05-01T00:52:23	Chang Chia-Tche	exbpc13	50000	5000000						3	0.179
2017-11-28T10:57:46	Bruce	DESK3	50000	5000000						3	0.179
2018-01-30T17:28:54	Bruce	DESK3	50000	5000000						3	0.179
2019-07-06T15:04:06	storm5510	7700_Kaby_Lake	50000	5000000						3	0.179
2019-08-26T23:05:42	nordi	nordiputer	50000	5000000	22568199109195337178514663	84.222	24	2	3749893409787310	24	1.428
2020-04-06T09:20:07	TJAOI	Manual testing	50000	5000000	129302873938324970977919863	86.741	97	2		97	5.773
2020-04-06T09:20:08	TJAOI	Manual testing	50000	5000000						73	4.345

date	userid	compid	res64	spent (GHz-days)
2015-07-04T19:27:00	MadPoo	Manual testing	8096B72C1FE960D7	0.081

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 = 1720669, B2 = 189273590 (P-1 stage 2)

B1 = 1720669, B2 = 172066900 (P-1 stage 2)

B1 = 1720669, B2 = 130000000 (P-1 stage 2)

B1 = 1720669, B2 = 65000000 (P-1 stage 2)

B1 = 1500000, B2 = 65000000 (P-1 stage 2)

B1 = 1720669 (P-1 stage 1)

B1 = 1500000 (P-1 stage 1)

B1 = 373947 (P-1 stage 1)

B1 = 280953 (P-1 stage 1)

B1 = 187302 (P-1 stage 1)

B1 = 90000, B2 = 1507500 (P-1 stage 2)

B1 = 150000 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 90000 (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