M1732669 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	34.4006	69.1176%	1890559	190593590	0.9575	8.0361%	35.3581	71.5994%	2.4818%
PrimeNet	2⁵⁷	0.0111	63.1579%	8000	140000	0.0012	2.7972%	0.0123	64.1884%	1.0305%
GPU72	2⁶¹	0.1773	65.5738%	7000	110000	0.0010	1.3458%	0.1783	66.0371%	0.4633%
Difference	+7	+34.2233	+3.5439%	+1883559	+190483590	+0.9565	+6.6904%	+35.1798	+5.5623%	+5.5623%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1732669	1470337114932255430893793	25	80.282	424298326723758384 2⁴ × 3 × 17 × 2521 × 206256818569	2020-03-20	2521	206256818569	164,082	883.97	1,651.0

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-07T12:40:00	Carsten Kossendey	leela	95000	1543750		-		-	-	0.014	-	-	2.124%
2014-04-04T00:13:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.768%
2014-05-06T10:52:00	Jocelyn Larouche	Manual testing	137044	137044		-		-	-	0.011	-	-	0.923%
2014-09-10T00:51:00	Jocelyn Larouche	Manual testing	174088	174088		-		-	-	0.014	-	-	1.053%
2014-12-02T21:55:00	Jocelyn Larouche	Manual testing	211132	211132		-		-	-	0.017	-	-	1.166%
2015-01-27T21:58:00	Jocelyn Larouche	Manual testing	255469	255469		-		-	-	0.020	-	-	1.284%
2015-01-29T22:02:00	Jocelyn Larouche	Manual testing	281015	281015		-		-	-	0.022	-	-	1.346%
2015-02-11T12:22:00	Jocelyn Larouche	Manual testing	374040	374040		-		-	-	0.029	-	-	1.543%
2015-02-22T09:50:00	Jocelyn Larouche	Manual testing	411444	411444		-		-	-	0.032	-	-	1.612%
2015-03-08T04:50:00	Jocelyn Larouche	Manual testing	452588	452588		-		-	-	0.036	-	-	1.683%
2015-03-15T18:55:00	Jocelyn Larouche	Manual testing	497846	497846		-		-	-	0.039	-	-	1.756%
2015-04-08T16:59:00	Jocelyn Larouche	Manual testing	602393	602393		-		-	-	0.047	-	-	1.906%
2015-05-01T17:20:00	Jocelyn Larouche	Manual testing	728895	728895		-		-	-	0.057	-	-	2.064%
2015-05-07T16:19:00	Jocelyn Larouche	Manual testing	801784	801784		-		-	-	0.063	-	-	2.146%
2015-05-22T00:28:00	Jocelyn Larouche	Manual testing	881962	881962		-		-	-	0.069	-	-	2.229%
2015-05-26T18:17:00	Jocelyn Larouche	Manual testing	970158	970158		-		-	-	0.076	-	-	2.314%
2015-06-08T13:43:00	Jocelyn Larouche	Manual testing	1067173	1067173		-		-	-	0.084	-	-	2.401%
2015-06-25T21:15:00	Jocelyn Larouche	Manual testing	1173890	1173890		-		-	-	0.092	-	-	2.490%
2015-07-07T18:13:00	Jocelyn Larouche	Manual testing	1291279	1291279		-		-	-	0.102	-	-	2.581%
2015-07-21T01:20:00	Jocelyn Larouche	Manual testing	1420406	1420406		-		-	-	0.112	-	-	2.673%
2015-07-27T01:26:00	Jocelyn Larouche	Manual testing	1562446	1562446		-		-	-	0.123	-	-	2.767%
2015-09-16T07:26:00	Jocelyn Larouche	Manual testing	1718690	1718690		-		-	-	0.135	-	-	2.863%
2015-09-21T00:50:00	mikr	MSI	3642200	123456789		-		-	-	0.800	-	-	7.966%
2018-10-03T11:47:41	Jocelyn Larouche	low 4M	1890559	17326690	12	-		-	-	0.215	-	-	5.352%
2018-10-11T10:50:40	Jocelyn Larouche	low 4M	1890559	173266900	12	-		-	-	0.883	-	-	7.928%
2018-10-17T22:59:54	Jocelyn Larouche	low 4M	1890559	190593590	12	-		-	-	0.957	-	-	8.036%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-11-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.011	-	-
2003-02-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2016-02-23T16:28:49	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.066	-	-
2010-04-24T12:42:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.089	-	-
2016-02-23T16:28:49	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.177	-	-
2010-11-18T02:51:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.921	-	-
2016-02-23T16:28:49	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.567	-	-
2015-05-05T00:55:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.133	-	-
2015-05-05T00:55:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.156	-	-
2015-09-03T11:06:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.313	-	-
2018-05-28T14:40:35	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.626	-	-
2019-08-06T10:06:02	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.25	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.439 GHz-days
Estimated T-Level:	24.536

Digits	B1	Curves	Complete	FacMiss
20	11000	254 / 100	2.540	7.786%
25	50000	254 / 280	0.907	40.302%

New Calculation Method

Total ECM effort:	17.439 GHz-days
Estimated T-Level:	24.536

Digits	B1	Complete	FacMiss
20	11000	8.194	0.028%
25	50000	0.741	47.686%
30	250000	0.046	95.542%
35	1000000	0.002	99.791%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		251	17.23
50000	5000000	1470337114932255430893793	3	0.206

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-12T12:05:00	James Heinrich	Q6600	50000	5000000						3	0.206
2009-06-19T06:06:00	Ottichris	slowly	50000	5000000						3	0.206
2010-08-05T07:51:00	James Classen	towerofart	50000	5000000						3	0.206
2012-02-15T15:17:00	S36049	Wolle5	50000	5000000						3	0.206
2013-05-07T11:46:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-04T15:25:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-11-18T18:40:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-07-16T17:45:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-12-16T23:44:46	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-03-09T14:34:34	Bruce	DESK3	50000	5000000						3	0.206
2016-04-23T12:22:06	Bruce	DESK3	50000	5000000						3	0.206
2016-07-11T08:31:55	Bruce	DESK3	50000	5000000						3	0.206
2016-09-25T04:14:04	Bruce	DESK3	50000	5000000						3	0.206
2016-11-25T21:37:58	Bruce	DESK3	50000	5000000						3	0.206
2017-01-19T02:07:07	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-06-23T20:42:59	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-12-08T19:19:37	Bruce	DESK3	50000	5000000						3	0.206
2018-02-06T20:39:19	Bruce	DESK3	50000	5000000						3	0.206
2019-11-16T21:37:48	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.206
2019-11-17T10:51:04	mnd9	50871	50000	5000000						3	0.206
2019-11-21T05:34:18	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2019-11-21T09:03:14	DevilDawg93	Old_gaming_comp	50000	5000000						3	0.206
2019-11-24T00:50:19	Sergey Nosov	TS140-02	50000	5000000						3	0.206
2019-11-25T18:34:44	Keysarecool	HPLaptop	50000	5000000						3	0.206
2019-11-26T22:11:23	TheJudger	Sinope	50000	5000000						3	0.206
2019-11-29T08:53:26	arnaud	CHAMOT06	50000	5000000						3	0.206
2019-12-03T02:28:37	mnd9	50871b	50000	5000000						3	0.206
2019-12-06T21:53:47	mnd9	50871b	50000	5000000						3	0.206
2019-12-11T12:56:42	mnd9	50871b	50000	5000000						3	0.206
2019-12-16T02:16:05	mnd9	touchdown	50000	5000000						3	0.206
2019-12-21T00:13:16	Keysarecool	Boat_Anchor	50000	5000000						3	0.206
2020-01-01T09:00:31	Alvin Bunk	BADCAT	50000	5000000						3	0.206
2020-01-06T17:08:38	IanGlencross	glenx24	50000	5000000						3	0.206
2020-01-15T02:35:24	mnd9	27016b	50000	5000000						3	0.206
2020-01-20T21:58:18	EricP	Cannonfodder	50000	5000000						3	0.206
2020-01-27T13:51:52	mnd9	kitchen	50000	5000000						3	0.206
2020-02-06T00:35:14	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2020-02-13T01:57:09	Keysarecool	i9	50000	5000000						3	0.206
2020-02-20T15:30:17	Sergey Nosov	TS140-02	50000	5000000						3	0.206
2020-02-27T20:53:43	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2020-03-02T07:00:09	mnd9	touchdown	50000	5000000						3	0.206
2020-03-05T02:22:23	Keysarecool	Boat_Anchor	50000	5000000						3	0.206
2020-03-20T15:40:27	mnd9	kitchen	50000	5000000	1470337114932255430893793	80.282	3	2	5951715088011391	3	0.206
2020-05-18T10:37:36	TJAOI	Manual testing	50000	5000000						125	8.582

date	userid	compid	res64	spent (GHz-days)
1998-12-13T00:00:00	ANONYMOUS	v4_computers	DD2356A994DDCD1A	0.094
2015-07-18T19:04:00	MadPoo	Manual testing	DD2356A994DDCD1A	0.094

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 = 1890559, B2 = 190593590 (P-1 stage 2)

B1 = 1890559, B2 = 173266900 (P-1 stage 2)

B1 = 3642200, B2 = 123456789 (P-1 stage 2)

B1 = 3642200 (P-1 stage 1)

B1 = 1890559, B2 = 17326690 (P-1 stage 2)

B1 = 1890559 (P-1 stage 1)

B1 = 1718690 (P-1 stage 1)

B1 = 1562446 (P-1 stage 1)

B1 = 1420406 (P-1 stage 1)

B1 = 1291279 (P-1 stage 1)

B1 = 1173890 (P-1 stage 1)

B1 = 1067173 (P-1 stage 1)

B1 = 970158 (P-1 stage 1)

B1 = 881962 (P-1 stage 1)

B1 = 801784 (P-1 stage 1)

B1 = 728895 (P-1 stage 1)

B1 = 602393 (P-1 stage 1)

B1 = 497846 (P-1 stage 1)

B1 = 452588 (P-1 stage 1)

B1 = 411444 (P-1 stage 1)

B1 = 374040 (P-1 stage 1)

B1 = 281015 (P-1 stage 1)

B1 = 255469 (P-1 stage 1)

B1 = 211132 (P-1 stage 1)

B1 = 174088 (P-1 stage 1)

B1 = 95000, B2 = 1543750 (P-1 stage 2)

B1 = 137044 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

10²

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10⁹

10¹⁰

10¹¹

10¹²

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