M1916737 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	31.0971	69.1176%	8000000	320000000	1.9665	9.7382%	33.0635	72.1250%	3.0074%
PrimeNet	2⁵⁷	0.0100	63.1579%	9000	170000	0.0014	3.0919%	0.0114	64.2970%	1.1391%
GPU72	2⁶¹	0.1603	65.5738%	10000	170000	0.0015	1.7609%	0.1617	66.1800%	0.6062%
Difference	+7	+30.9368	+3.5439%	+7990000	+319830000	+1.9650	+7.9773%	+32.9018	+5.9450%	+5.9450%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2011-08-26T11:31:00	kurly	hex	1000000	30000000		-		-	-	0.203	-	-	5.685%
2017-12-17T16:07:12	mikr	S067	8000000	320000000	12	-		-	-	1.966	-	-	9.738%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:28:58	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.060	-	-
2009-06-01T01:27:00	Architects Cubed	i4l_1	2⁶⁰	2⁶¹		-	-	0.080	-	-
2016-02-23T16:28:58	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.160	-	-
2011-07-17T18:55:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.833	-	-
2016-02-23T16:28:58	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.512	-	-
2015-05-16T20:58:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.024	-	-
2015-05-16T20:58:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	1.949	-	-
2015-09-02T13:37:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.899	-	-
2017-03-15T08:26:30	Smok_bmv	Manual testing	2⁶⁶	2⁶⁷		-	-	7.797	-	-
2019-04-28T04:32:13	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.59	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.192 GHz-days
Estimated T-Level:	24.464

Digits	B1	Curves	Complete	FacMiss
20	11000	250 / 100	2.500	8.106%
25	50000	250 / 280	0.893	40.883%

New Calculation Method

Total ECM effort:	18.192 GHz-days
Estimated T-Level:	24.464

Digits	B1	Complete	FacMiss
20	11000	9.821	0.005%
25	50000	0.913	40.116%
30	250000	0.058	94.384%
35	1000000	0.003	99.730%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	186	12.92
50000	6750000	14	1.109
50000	7500000	50	4.168

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-08T12:28:00	paulie	iMac3.4	50000	5000000						3	0.208
2009-08-01T21:58:00	SubPrime	mysql0	50000	5000000						3	0.208
2010-12-05T10:15:00	Lupo	yorick	50000	5000000						3	0.208
2012-11-03T20:49:00	Donna Noble	PH2x6	50000	5000000						3	0.208
2013-12-02T20:28:00	Sara	Sara	50000	5000000						3	0.208
2015-01-17T18:19:00	Sara	Sara	50000	5000000						3	0.208
2015-09-14T18:29:00	Sara	Sara	50000	5000000						3	0.208
2016-04-16T03:04:45	Bruce	Desk6	50000	5000000						3	0.208
2016-06-16T19:53:16	Jason U	Server7	50000	5000000						3	0.208
2016-08-28T06:25:40	Bruce	test	50000	5000000						3	0.208
2017-02-06T03:30:48	Bruce	Desk6	50000	5000000						3	0.208
2017-07-31T19:56:26	Bruce	Desk6	50000	5000000						3	0.208
2017-12-13T07:43:21	Bruce	Desk6	50000	5000000						3	0.208
2018-04-16T15:10:35	Bruce	Desk6	50000	5000000						3	0.208
2018-09-25T18:40:55	Bruce	Desk6	50000	5000000						3	0.208
2019-11-30T04:13:38	Claude Portenier	Petit-Idiot	50000	5000000						3	0.208
2019-12-02T20:05:49	Alvin Bunk	i7-Core	50000	5000000						3	0.208
2019-12-06T09:36:32	George Woltman	colab	50000	5000000						3	0.208
2019-12-11T08:46:24	daveward2005	Davy	50000	5000000						3	0.208
2019-12-16T17:55:00	mnd9	colab2	50000	5000000						3	0.208
2019-12-21T13:43:27	Keysarecool	Boat_Anchor	50000	5000000						3	0.208
2019-12-27T22:02:11	TheJudger	myECM	50000	5000000						3	0.208
2020-06-30T03:57:11	lycorn	colab_S	50000	5000000						3	0.208
2020-06-30T04:12:34	GAN	PG-HP	50000	5000000						3	0.208
2020-06-30T04:26:10	GAN	LMS-16	50000	5000000						3	0.208
2020-06-30T04:36:04	GAN	LMS-03	50000	5000000						3	0.208
2020-06-30T04:50:52	GAN	LMS-03	50000	5000000						3	0.208
2020-06-30T04:56:00	lycorn	colab_S	50000	5000000						3	0.208
2020-06-30T05:12:37	GAN	LMS-18	50000	5000000						3	0.208
2020-06-30T05:20:32	GAN	LMS-03	50000	5000000						3	0.208
2020-06-30T05:57:12	GAN	LMS-18	50000	5000000						3	0.208
2020-06-30T07:22:54	IanGlencross	glenx24	50000	5000000						3	0.208
2020-06-30T07:41:56	GAN	OSB-01	50000	5000000						3	0.208
2020-06-30T08:04:16	IanGlencross	glenx24	50000	5000000						3	0.208
2020-06-30T08:42:42	Nesowa	6700T	50000	5000000						3	0.208
2020-06-30T08:52:28	Nesowa	6700T	50000	5000000						3	0.208
2020-06-30T09:14:54	Nesowa	6700T	50000	5000000						3	0.208
2020-06-30T14:53:56	GAN	AC-KL	50000	5000000						3	0.208
2020-06-30T17:28:02	mnd9	25836b	50000	5000000						3	0.208
2020-06-30T19:11:02	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.208
2020-07-01T01:48:51	GAN	KL-10	50000	5000000						3	0.208
2020-07-01T07:42:21	clww2	hcpu	50000	5000000						3	0.208
2020-07-13T09:14:41	daveward2005	Davy	50000	5000000						3	0.208
2020-07-19T21:02:25	GAN	AC-KL	50000	5000000						3	0.208
2020-07-21T03:10:01	nordi	sweet16	50000	5000000						3	0.208
2020-07-25T12:46:25	GAN	LMS-08	50000	5000000						3	0.208
2020-08-01T18:05:50	GAN	LMS-13	50000	5000000						3	0.208
2020-08-10T03:36:43	Brett Walker	brain	50000	5000000						3	0.208
2020-08-21T04:15:25	M. R. Mayer	nimbus	50000	5000000						7	0.486
2020-09-26T15:19:30	Leo Custodio	GCP-013	50000	5000000						7	0.486
2020-10-21T19:18:08	GAN	KA-HP	50000	5000000						7	0.486
2020-11-26T22:19:31	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						7	0.486
2020-12-30T19:28:44	Zenzoma	AMD3970X	50000	5000000						7	0.486
2021-01-30T12:58:55	lycorn	colab_S_1	50000	6750000						7	0.554
2021-03-05T22:04:00	daveward2005	Dave2	50000	5000000						7	0.486
2021-06-08T04:28:06	Stef42	AMD-DESKTOP	50000	6750000						7	0.554
2022-02-17T11:36:47	TJAOI	Manual testing	50000	7500000						50	4.168

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)
1999-01-02T00:00:00	Ethan O'Connor	v4_computers	AD1970AE7ECA370C	0.104
2015-06-27T00:55:00	MadPoo	Manual testing	AD1970AE7ECA370C	0.104