M1782329 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	33.4421	69.1176%	1782329	196056190	0.9728	8.0453%	34.4149	71.6022%	2.4846%
PrimeNet	2⁵⁷	0.0108	63.1579%	8000	140000	0.0012	2.8122%	0.0120	64.1940%	1.0361%
GPU72	2⁶¹	0.1723	65.5738%	8000	130000	0.0012	1.4921%	0.1735	66.0874%	0.5137%
Difference	+7	+33.2698	+3.5439%	+1774329	+195926190	+0.9717	+6.5532%	+34.2414	+5.5148%	+5.5148%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1782329	1230105151974651470087	22	70.059	345083638311067 1238291 × 278677337	2020-05-11	1238291	278677337	249.27	1.2864	2.2307

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-10T06:35:00	Carsten Kossendey	leela	95000	1615000		-		-	-	0.014	-	-	2.158%
2014-04-10T20:52:00	ANONYMOUS	Manual testing	100000	100000		-		-	-	0.008	-	-	0.772%
2014-05-09T20:32:00	Jocelyn Larouche	Manual testing	136011	136011		-		-	-	0.011	-	-	0.924%
2014-09-19T20:39:00	Jocelyn Larouche	Manual testing	172022	172022		-		-	-	0.014	-	-	1.051%
2015-05-30T06:10:00	mikr	MSI	2475400	86660000		-		-	-	0.556	-	-	7.333%
2018-07-02T12:39:36	Jocelyn Larouche	low 4M	1782329	178232900	12	-		-	-	0.896	-	-	7.937%
2018-10-19T12:14:54	Jocelyn Larouche	low 4M	1782329	196056190	12	-		-	-	0.973	-	-	8.045%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2016-02-23T16:28:51	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.065	-	-
2010-04-20T13:12:00	Architects Cubed	m1_76l	2⁶⁰	2⁶¹		-	-	0.086	-	-
2016-02-23T16:28:51	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.172	-	-
2010-10-16T22:16:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.895	-	-
2016-02-23T16:28:51	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.551	-	-
2015-05-14T12:16:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.102	-	-
2015-05-14T12:16:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.096	-	-
2015-09-12T12:52:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.193	-	-
2018-02-05T16:30:34	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.385	-	-
2019-08-06T10:06:01	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.77	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.286 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:	17.286 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		249	17.15
50000	5000000	1230105151974651470087	2	0.138

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-22T21:56:00	paulie	iMac3.4	50000	5000000						3	0.207
2009-07-05T21:06:00	SubPrime	mysql0	50000	5000000						3	0.207
2010-10-17T20:35:00	bstanton	home	50000	5000000						3	0.207
2012-02-21T14:19:00	Emiel	SlimLine	50000	5000000						3	0.207
2013-06-16T07:41:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-02-18T05:56:00	Bruce	snowflake	50000	5000000						3	0.207
2015-02-12T02:58:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2015-09-22T16:28:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-01-27T06:24:56	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-05-11T09:39:57	Bruce	DESK3	50000	5000000						3	0.207
2016-05-28T21:05:02	Bruce	DESK3	50000	5000000						3	0.207
2016-08-08T19:40:35	Bruce	DESK3	50000	5000000						3	0.207
2016-10-15T08:52:44	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-12-17T18:46:52	Bruce	DESK3	50000	5000000						3	0.207
2017-04-02T00:04:19	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2017-10-07T23:00:15	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2018-01-11T20:21:38	Bruce	DESK3	50000	5000000						3	0.207
2019-06-22T13:03:12	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.207
2019-11-20T21:00:54	DRMEDESY	hm02	50000	5000000						3	0.207
2019-11-20T23:28:16	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2019-11-23T12:20:03	Sergey Nosov	TS140-02	50000	5000000						3	0.207
2019-11-27T02:20:38	DRMEDESY	hm02	50000	5000000						3	0.207
2019-11-28T20:22:02	mnd9	50871b	50000	5000000						3	0.207
2019-12-02T12:10:56	penlu	grizzly	50000	5000000						3	0.207
2019-12-06T07:44:55	mnd9	50871b	50000	5000000						3	0.207
2019-12-10T19:21:02	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.207
2019-12-14T19:19:07	J.R. Allen	lapacer	50000	5000000						3	0.207
2019-12-19T22:07:34	mnd9	colab	50000	5000000						3	0.207
2019-12-31T05:02:46	Nesowa	6700T	50000	5000000						3	0.207
2020-01-02T07:21:52	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.207
2020-01-05T09:24:29	TheJudger	myECM	50000	5000000						3	0.207
2020-01-20T12:18:53	mnd9	kitchen	50000	5000000						3	0.207
2020-01-26T15:38:43	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.207
2020-02-03T18:07:55	daveward2005	Davy	50000	5000000						3	0.207
2020-02-12T07:54:49	daveward2005	MW	50000	5000000						3	0.207
2020-02-18T22:11:18	mnd9	office2	50000	5000000						3	0.207
2020-02-22T19:02:34	mnd9	75211backdoorb	50000	5000000						3	0.207
2020-02-26T12:40:49	daveward2005	MW	50000	5000000						3	0.207
2020-03-03T21:58:16	EricP	Cannonfodder	50000	5000000						3	0.207
2020-03-11T00:08:00	mnd9	75203b	50000	5000000						3	0.207
2020-03-18T08:39:39	mnd9	27016b	50000	5000000						3	0.207
2020-03-29T07:23:29	kracker	O0	50000	5000000						3	0.207
2020-04-10T07:55:57	MarkS	desktop-i7	50000	5000000						3	0.207
2020-04-22T18:00:08	nordi	sweet16	50000	5000000						3	0.207
2020-04-29T22:42:20	EricP	Cannonfodder	50000	5000000						3	0.207
2020-05-11T05:14:41	daveward2005	Davy	50000	5000000	1230105151974651470087	70.059	2	2		2	0.138
2020-11-20T10:37:16	TJAOI	Manual testing	50000	5000000						114	7.851

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

date	userid	compid	res64	spent (GHz-days)
1998-12-06T00:00:00	ANONYMOUS	v4_computers	698BEB5029A98E9F	0.097
2015-07-18T18:31:00	MadPoo	Manual testing	698BEB5029A98E9F	0.097