M1756009 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	33.9434	69.1176%	1756009	193160990	0.9584	8.0047%	34.9018	71.5897%	2.4720%
PrimeNet	2⁵⁷	0.0109	63.1579%	8000	140000	0.0012	2.8043%	0.0121	64.1911%	1.0332%
GPU72	2⁶¹	0.1749	65.5738%	8000	110000	0.0011	1.4137%	0.1760	66.0604%	0.4867%
Difference	+7	+33.7684	+3.5439%	+1748009	+193050990	+0.9574	+6.5910%	+34.7258	+5.5292%	+5.5292%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-07T12:41:00	Carsten Kossendey	leela	95000	1567500		-		-	-	0.014	-	-	2.137%
2014-04-08T23:01:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.770%
2014-05-06T21:05:00	Jocelyn Larouche	Manual testing	136551	136551		-		-	-	0.011	-	-	0.923%
2014-09-17T22:20:00	ANONYMOUS	Manual testing	173102	173102		-		-	-	0.014	-	-	1.052%
2015-04-26T02:25:00	Squeeky_Squirrel	P4_2600	130000	3640000		-		-	-	0.025	-	-	2.773%
2015-07-06T14:12:00	mikr	MSI	3642200	123456789		-		-	-	0.800	-	-	7.977%
2018-10-02T11:45:35	Jocelyn Larouche	low 4M	1756009	140480720	12	-		-	-	0.733	-	-	7.646%
2018-10-03T11:47:46	Jocelyn Larouche	low 4M	1756009	158040810	12	-		-	-	0.808	-	-	7.779%
2018-10-07T10:38:36	Jocelyn Larouche	low 4M	1756009	175600900	12	-		-	-	0.883	-	-	7.897%
2018-10-19T02:38:28	Jocelyn Larouche	low 4M	1756009	193160990	12	-		-	-	0.958	-	-	8.005%

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	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.066	-	-
2010-04-22T12:44:00	Architects Cubed	i4l_1	2⁶⁰	2⁶¹		-	-	0.087	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.175	-	-
2010-12-13T03:32:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.909	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.559	-	-
2015-05-14T02:58:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.118	-	-
2015-05-14T02:58:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.128	-	-
2015-09-06T20:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.256	-	-
2018-05-28T14:40:34	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.511	-	-
2019-06-17T12:15:04	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.02	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.701 GHz-days
Estimated T-Level:	24.857

Digits	B1	Curves	Complete	FacMiss
20	11000	272 / 100	2.720	6.498%
25	50000	272 / 280	0.971	37.788%

New Calculation Method

Total ECM effort:	18.701 GHz-days
Estimated T-Level:	24.857

Digits	B1	Complete	FacMiss
20	11000	10.462	0.003%
25	50000	0.968	37.985%
30	250000	0.061	94.077%
35	1000000	0.003	99.715%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		272	18.70

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-31T12:15:00	Scott Kurowski	UW2	50000	5000000						3	0.206
2009-06-30T15:16:00	Lukasz Wrobel	cm-3	50000	5000000						3	0.206
2010-08-27T12:32:00	James Hintz	ryan	50000	5000000						3	0.206
2012-01-10T21:23:00	S36049	Wolle5	50000	5000000						3	0.206
2013-05-29T15:13:00	Bruce	yoyodyne	50000	5000000						3	0.206
2014-02-15T02:17:00	Bruce	snowflake	50000	5000000						3	0.206
2015-01-02T02:57:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-08-20T03:41:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-01-01T17:15:52	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-03-16T20:05:19	Bruce	DESK3	50000	5000000						3	0.206
2016-05-03T17:03:35	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-07-31T03:31:21	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-10-06T15:46:38	Bruce	DESK3	50000	5000000						3	0.206
2016-12-04T20:42:17	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-01-31T10:57:03	Bruce	DESK3	50000	5000000						3	0.206
2017-09-10T23:08:57	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-12-27T04:59:48	Bruce	DESK3	50000	5000000						3	0.206
2018-02-19T19:37:40	Bruce	DESK3	50000	5000000						3	0.206
2019-11-17T16:36:30	mnd9	50871	50000	5000000						3	0.206
2019-11-18T14:54:45	mnd9	50871	50000	5000000						3	0.206
2019-11-20T03:51:45	J.R. Allen	lapdell	50000	5000000						3	0.206
2019-11-24T09:40:13	George Woltman	colab	50000	5000000						3	0.206
2019-11-26T02:42:25	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2019-11-27T04:20:10	Nesowa	6700T	50000	5000000						3	0.206
2019-11-30T07:23:00	Keysarecool	HPLaptop	50000	5000000						3	0.206
2019-12-04T00:02:29	J.R. Allen	lapdell	50000	5000000						3	0.206
2019-12-07T23:39:11	Keysarecool	Boat_Anchor	50000	5000000						3	0.206
2019-12-13T02:57:24	cappy95833	HomePC	50000	5000000						3	0.206
2019-12-17T23:47:16	Nesowa	6700T	50000	5000000						3	0.206
2019-12-25T12:41:15	DRMEDESY	hm02	50000	5000000						3	0.206
2019-12-29T03:09:26	TheJudger	myECM	50000	5000000						3	0.206
2020-01-02T17:36:30	TheJudger	myECM	50000	5000000						3	0.206
2020-01-08T23:13:32	mat10243x	B2	50000	5000000						3	0.206
2020-01-17T23:19:26	mnd9	colab	50000	5000000						3	0.206
2020-01-22T19:48:39	Keysarecool	HPLaptop	50000	5000000						3	0.206
2020-01-29T18:34:34	daveward2005	MW	50000	5000000						3	0.206
2020-02-15T16:27:33	mnd9	eileen	50000	5000000						3	0.206
2020-02-23T05:27:40	mnd9	office2	50000	5000000						3	0.206
2020-02-26T13:34:41	mnd9	25836b	50000	5000000						3	0.206
2020-02-29T15:33:50	EricP	Cannonfodder	50000	5000000						3	0.206
2020-03-06T22:16:34	MarkS	desktop-i7	50000	5000000						3	0.206
2020-03-14T18:14:33	mnd9	75201b	50000	5000000						3	0.206
2020-03-22T18:28:37	kracker	O0	50000	5000000						3	0.206
2020-04-04T08:09:40	nranks	wlaptop	50000	5000000						3	0.206
2020-04-19T03:15:42	nordi	sweet16	50000	5000000						3	0.206
2020-04-26T10:44:41	EricP	Cannonfodder	50000	5000000						3	0.206
2020-05-05T05:20:22	EricP	Cannonfodder	50000	5000000						3	0.206
2020-05-17T10:06:47	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.206
2020-06-08T18:09:29	Team_Inspector	SpudBoy4	50000	5000000						3	0.206
2020-06-23T09:42:43	LaurV	3tits	50000	5000000						3	0.206
2020-07-02T06:42:15	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2020-07-08T17:09:24	GAN	LMS-06	50000	5000000						3	0.206
2020-07-14T17:13:51	GAN	LMS-14	50000	5000000						3	0.206
2020-07-20T21:52:53	GAN	LMS-18	50000	5000000						3	0.206
2020-07-27T11:05:45	TJAOI	Manual testing	50000	5000000						107	7.357
2020-07-27T17:09:37	rextherunt	ice	50000	5000000						3	0.206

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	A92BF34EB29A4E9D	0.095
2015-06-27T00:55:00	MadPoo	Manual testing	A92BF34EB29A4E9D	0.095