M1732847 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	34.3971	69.1176%	1890425	190613170	0.9575	8.0363%	35.3546	71.5994%	2.4818%
PrimeNet	2⁵⁷	0.0111	63.1579%	8000	140000	0.0012	2.7972%	0.0123	64.1885%	1.0306%
GPU72	2⁶¹	0.1773	65.5738%	7000	110000	0.0010	1.3458%	0.1783	66.0371%	0.4633%
Difference	+7	+34.2198	+3.5439%	+1883425	+190503170	+0.9565	+6.6905%	+35.1763	+5.5624%	+5.5624%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-08T16:03:00	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	137040	137040		-		-	-	0.011	-	-	0.923%
2014-09-10T00:51:00	Jocelyn Larouche	Manual testing	174080	174080		-		-	-	0.014	-	-	1.053%
2014-12-02T21:55:00	Jocelyn Larouche	Manual testing	211120	211120		-		-	-	0.017	-	-	1.166%
2015-01-27T21:58:00	Jocelyn Larouche	Manual testing	255455	255455		-		-	-	0.020	-	-	1.284%
2015-01-29T22:02:00	Jocelyn Larouche	Manual testing	281000	281000		-		-	-	0.022	-	-	1.346%
2015-02-11T12:22:00	Jocelyn Larouche	Manual testing	374014	374014		-		-	-	0.029	-	-	1.543%
2015-02-22T09:50:00	Jocelyn Larouche	Manual testing	411415	411415		-		-	-	0.032	-	-	1.612%
2015-03-08T04:50:00	Jocelyn Larouche	Manual testing	452556	452556		-		-	-	0.036	-	-	1.683%
2015-03-15T18:55:00	Jocelyn Larouche	Manual testing	497811	497811		-		-	-	0.039	-	-	1.756%
2015-04-08T16:59:00	Jocelyn Larouche	Manual testing	602351	602351		-		-	-	0.047	-	-	1.906%
2015-05-01T17:20:00	Jocelyn Larouche	Manual testing	728844	728844		-		-	-	0.057	-	-	2.064%
2015-05-07T16:19:00	Jocelyn Larouche	Manual testing	801728	801728		-		-	-	0.063	-	-	2.146%
2015-05-22T00:28:00	Jocelyn Larouche	Manual testing	881900	881900		-		-	-	0.069	-	-	2.229%
2015-05-26T18:17:00	Jocelyn Larouche	Manual testing	970090	970090		-		-	-	0.076	-	-	2.314%
2015-06-08T13:43:00	Jocelyn Larouche	Manual testing	1067099	1067099		-		-	-	0.084	-	-	2.401%
2015-06-25T21:15:00	Jocelyn Larouche	Manual testing	1173808	1173808		-		-	-	0.092	-	-	2.490%
2015-07-07T18:13:00	Jocelyn Larouche	Manual testing	1291188	1291188		-		-	-	0.102	-	-	2.581%
2015-07-21T01:20:00	Jocelyn Larouche	Manual testing	1420306	1420306		-		-	-	0.112	-	-	2.673%
2015-07-27T01:26:00	Jocelyn Larouche	Manual testing	1562336	1562336		-		-	-	0.123	-	-	2.767%
2015-09-16T07:26:00	Jocelyn Larouche	Manual testing	1718569	1718569		-		-	-	0.135	-	-	2.863%
2015-09-21T23:35:00	mikr	MSI	3642200	123456789		-		-	-	0.800	-	-	7.966%
2018-10-03T11:47:41	Jocelyn Larouche	low 4M	1890425	17328470	12	-		-	-	0.215	-	-	5.352%
2018-10-11T10:50:40	Jocelyn Larouche	low 4M	1890425	173284700	12	-		-	-	0.883	-	-	7.928%
2018-10-17T22:59:54	Jocelyn Larouche	low 4M	1890425	190613170	12	-		-	-	0.958	-	-	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		-	-	0.566	-	-
2015-05-05T01:58:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.133	-	-
2015-05-05T01:58:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.156	-	-
2015-09-03T11:06:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.312	-	-
2018-05-28T14:40:35	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.625	-	-
2019-08-06T10:06:02	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.25	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.675 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:	18.675 GHz-days
Estimated T-Level:	24.857

Digits	B1	Complete	FacMiss
20	11000	8.774	0.015%
25	50000	0.793	45.248%
30	250000	0.049	95.234%
35	1000000	0.002	99.777%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		272	18.67

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-12T18:06:00	paulie	iMac3.4	50000	5000000						3	0.206
2009-10-06T00:52:00	JimBa	CIT3srvr	50000	5000000						3	0.206
2010-08-24T14:20:00	Lupo	yorick	50000	5000000						3	0.206
2012-02-15T10:41:00	S36049	Wolle5	50000	5000000						3	0.206
2013-05-07T18:18:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-07T07:41:00	Sara	Sara	50000	5000000						3	0.206
2014-11-19T03:02:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-07-17T02:06:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-12-17T05:08:46	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-03-09T16:22:08	Bruce	DESK3	50000	5000000						3	0.206
2016-04-23T14:50:42	Bruce	DESK3	50000	5000000						3	0.206
2016-07-11T10:47:29	Bruce	DESK3	50000	5000000						3	0.206
2016-09-25T08:49:47	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-11-26T00:49:05	Bruce	DESK3	50000	5000000						3	0.206
2017-01-19T01:36:36	Bruce	DESK3	50000	5000000						3	0.206
2017-06-24T12:24:51	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-12-08T23:35:27	Bruce	DESK3	50000	5000000						3	0.206
2018-02-07T00:48:48	Bruce	DESK3	50000	5000000						3	0.206
2019-11-17T00:44:40	arnaud	CHAMOT06	50000	5000000						3	0.206
2019-11-17T11:16:47	mnd9	50871	50000	5000000						3	0.206
2019-11-18T06:02:03	Keysarecool	Boat_Anchor	50000	5000000						3	0.206
2019-11-20T01:43:28	Nesowa	6700T	50000	5000000						3	0.206
2019-11-21T23:38:46	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2019-11-23T20:40:32	IanGlencross	glenx24	50000	5000000						3	0.206
2019-11-28T20:04:48	Keysarecool	Boat_Anchor	50000	5000000						3	0.206
2019-11-29T08:36:23	wazuma	G751	50000	5000000						3	0.206
2019-12-02T14:33:41	Keysarecool	HPLaptop	50000	5000000						3	0.206
2019-12-06T09:57:01	Keysarecool	HPLaptop	50000	5000000						3	0.206
2019-12-11T01:31:46	Keysarecool	HPLaptop	50000	5000000						3	0.206
2019-12-26T19:59:38	nranks	wlaptop	50000	5000000						3	0.206
2019-12-28T13:07:50	mnd9	colab	50000	5000000						3	0.206
2019-12-31T10:59:29	Yxinity	Olga	50000	5000000						3	0.206
2020-01-01T05:49:59	daveward2005	Davy	50000	5000000						3	0.206
2020-01-06T17:00:33	Bommer	3900X	50000	5000000						3	0.206
2020-01-14T18:30:29	EricP	Cannonfodder	50000	5000000						3	0.206
2020-01-23T04:49:09	Claude Portenier	Petit-Idiot	50000	5000000						3	0.206
2020-01-27T19:06:33	mnd9	25836b	50000	5000000						3	0.206
2020-02-05T09:31:07	Keysarecool	Boat_Anchor	50000	5000000						3	0.206
2020-02-14T21:49:06	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.206
2020-02-21T05:53:16	mnd9	libproj	50000	5000000						3	0.206
2020-03-05T19:48:18	mnd9	colab2	50000	5000000						3	0.206
2020-03-11T17:22:16	MarkS	laptop64	50000	5000000						3	0.206
2020-03-11T21:56:56	cappy95833	HomePC	50000	5000000						3	0.206
2020-03-19T16:12:20	kracker	O0	50000	5000000						3	0.206
2020-03-31T06:01:01	daveward2005	Davy	50000	5000000						3	0.206
2020-04-13T03:05:34	EricP	Cannonfodder	50000	5000000						3	0.206
2020-04-24T04:53:16	nordi	sweet16	50000	5000000						3	0.206
2020-05-01T14:32:04	nordi	sweet16	50000	5000000						3	0.206
2020-05-13T10:11:19	daveward2005	MW	50000	5000000						3	0.206
2020-05-29T05:35:17	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.206
2020-06-01T14:17:02	TJAOI	Manual testing	50000	5000000						122	8.376

date	userid	compid	res64	spent (GHz-days)
1998-11-28T00:00:00	ANONYMOUS	v4_computers	F14571DD22A49A75	0.094
2015-07-04T19:28:00	MadPoo	Manual testing	F14571DD22A49A75	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 = 1890425, B2 = 190613170 (P-1 stage 2)

B1 = 1890425, B2 = 173284700 (P-1 stage 2)

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

B1 = 3642200 (P-1 stage 1)

B1 = 1890425, B2 = 17328470 (P-1 stage 2)

B1 = 1890425 (P-1 stage 1)

B1 = 1718569 (P-1 stage 1)

B1 = 1562336 (P-1 stage 1)

B1 = 1420306 (P-1 stage 1)

B1 = 1291188 (P-1 stage 1)

B1 = 1173808 (P-1 stage 1)

B1 = 1067099 (P-1 stage 1)

B1 = 970090 (P-1 stage 1)

B1 = 881900 (P-1 stage 1)

B1 = 801728 (P-1 stage 1)

B1 = 728844 (P-1 stage 1)

B1 = 602351 (P-1 stage 1)

B1 = 497811 (P-1 stage 1)

B1 = 452556 (P-1 stage 1)

B1 = 411415 (P-1 stage 1)

B1 = 374014 (P-1 stage 1)

B1 = 281000 (P-1 stage 1)

B1 = 255455 (P-1 stage 1)

B1 = 211120 (P-1 stage 1)

B1 = 174080 (P-1 stage 1)

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

B1 = 137040 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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