M1757417 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	33.9162	69.1176%	1757417	193315870	0.9592	8.0069%	34.8754	71.5904%	2.4727%
PrimeNet	2⁵⁷	0.0109	63.1579%	8000	140000	0.0012	2.8047%	0.0121	64.1912%	1.0333%
GPU72	2⁶¹	0.1748	65.5738%	8000	110000	0.0011	1.4139%	0.1759	66.0605%	0.4868%
Difference	+7	+33.7414	+3.5439%	+1749417	+193205870	+0.9581	+6.5930%	+34.6995	+5.5298%	+5.5298%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1757417	494346120150025910591425001	27	88.676	140645652155984012500 2² × 5⁵ × 181 × 62163824157341	2020-04-27	3125	62163824157341	51,728,247	266,419	497,596

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-07T12:35:00	Carsten Kossendey	leela	95000	1567500		-		-	-	0.014	-	-	2.137%
2014-04-08T23:01:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.770%
2014-05-09T20:31:00	Jocelyn Larouche	Manual testing	136522	136522		-		-	-	0.011	-	-	0.923%
2014-09-17T22:20:00	ANONYMOUS	Manual testing	173044	173044		-		-	-	0.014	-	-	1.052%
2015-04-27T13:16:00	mikr	MSI	2475400	86660000		-		-	-	0.556	-	-	7.322%
2018-08-13T11:55:06	Jocelyn Larouche	low 4M	1757417	175741700	12	-		-	-	0.884	-	-	7.899%
2018-10-19T02:38:29	Jocelyn Larouche	low 4M	1757417	193315870	12	-		-	-	0.959	-	-	8.007%

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	-	-
2010-04-23T09:17:00	Architects Cubed	i4l_1	2⁶⁰	2⁶¹		-	-	0.087	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.175	-	-
2011-01-21T16:10:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.908	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.559	-	-
2015-05-14T02:58:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.117	-	-
2015-05-14T02:58:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.126	-	-
2015-09-06T20:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.252	-	-
2018-05-21T16:49:47	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.504	-	-
2019-06-17T12:15:04	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.01	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.465 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:	17.465 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		253	17.40
50000	5000000	494346120150025910591425001	1	0.069

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-29T17:51:00	Squeeky_Squirrel	P4_2600	50000	5000000						3	0.206
2009-10-07T18:17:00	ekrumme	nuanceH2	50000	5000000						3	0.206
2010-09-15T10:53:00	Anu Järvi	Anu-TEMP	50000	5000000						3	0.206
2012-01-12T01:40:00	S36049	Wolle5	50000	5000000						3	0.206
2013-05-24T10:13:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-15T18:20:00	Bruce	snowflake	50000	5000000						3	0.206
2015-01-04T11:38:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-08-21T20:35:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-01-03T18:32:18	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-05-04T06:28:25	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-05-18T13:27:13	Bruce	DESK3	50000	5000000						3	0.206
2016-07-31T10:09:40	Bruce	DESK3	50000	5000000						3	0.206
2016-10-06T22:50:36	Bruce	DESK3	50000	5000000						3	0.206
2016-12-05T10:31:35	Bruce	DESK3	50000	5000000						3	0.206
2017-02-01T09:21:53	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-09-14T15:36:36	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-12-27T23:44:21	Bruce	DESK3	50000	5000000						3	0.206
2018-02-20T14:54:31	Bruce	DESK3	50000	5000000						3	0.206
2019-11-18T02:50:08	mnd9	dlounge	50000	5000000						3	0.206
2019-11-18T21:17:29	Sergey Nosov	TS140-02	50000	5000000						3	0.206
2019-11-20T03:48:10	Keysarecool	Boat_Anchor	50000	5000000						3	0.206
2019-11-24T18:10:10	mnd9	25836	50000	5000000						3	0.206
2019-11-26T03:48:37	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2019-11-27T01:33:40	Sergey Nosov	TS140-02	50000	5000000						3	0.206
2019-12-01T02:29:36	penlu	grizzly	50000	5000000						3	0.206
2019-12-08T08:40:26	J.R. Allen	lapacer	50000	5000000						3	0.206
2019-12-09T22:16:25	TheJudger	Sinope	50000	5000000						3	0.206
2019-12-13T01:28:02	Brett Walker	brain	50000	5000000						3	0.206
2019-12-17T17:43:45	mnd9	f3	50000	5000000						3	0.206
2019-12-24T01:18:53	mnd9	touchdown	50000	5000000						3	0.206
2019-12-29T13:49:08	MarkS	desktop-i7	50000	5000000						3	0.206
2020-01-03T07:58:39	IanGlencross	glenx24	50000	5000000						3	0.206
2020-01-09T14:57:15	mnd9	221Rb	50000	5000000						3	0.206
2020-01-17T18:42:52	mnd9	f4b	50000	5000000						3	0.206
2020-01-23T05:32:33	EricP	Cannonfodder	50000	5000000						3	0.206
2020-01-30T22:40:28	David_McCann	i5	50000	5000000						3	0.206
2020-02-09T05:50:43	mnd9	kitchen	50000	5000000						3	0.206
2020-02-16T13:27:18	mnd9	office2	50000	5000000						3	0.206
2020-02-23T21:03:40	mnd9	office2	50000	5000000						3	0.206
2020-03-01T13:35:55	Keysarecool	HPLaptop	50000	5000000						3	0.206
2020-03-07T18:11:36	mnd9	office2	50000	5000000						3	0.206
2020-03-15T06:56:56	EricP	Cannonfodder	50000	5000000						3	0.206
2020-04-05T01:46:45	mnd9	221Rb	50000	5000000						3	0.206
2020-04-19T01:48:14	mnd9	colab2	50000	5000000						3	0.206
2020-04-27T08:24:02	mnd9	office2	50000	5000000	494346120150025910591425001	88.676	1	2	89414726719368	1	0.069
2020-06-03T22:49:30	Nesowa	6700T	50000	5000000						3	0.206
2020-08-14T09:28:58	TJAOI	Manual testing	50000	5000000						118	8.114

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	73CB2958001E2D5B	0.095
2015-07-01T17:35:00	MadPoo	Manual testing	73CB2958001E2D5B	0.095