M1761437 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	33.8388	69.1176%	1761437	193758070	0.9614	8.0131%	34.8002	71.5923%	2.4746%
PrimeNet	2⁵⁷	0.0109	63.1579%	8000	140000	0.0012	2.8059%	0.0121	64.1917%	1.0338%
GPU72	2⁶¹	0.1744	65.5738%	8000	120000	0.0011	1.4529%	0.1755	66.0739%	0.5002%
Difference	+7	+33.6644	+3.5439%	+1753437	+193638070	+0.9603	+6.5602%	+34.6247	+5.5183%	+5.5183%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1761437	2277456438811176167639	22	70.948	646476836472487 17252107 × 37472341	2020-01-11	17252107	37472341	206.39	1.4438	2.7619

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-11T15:53:00	Carsten Kossendey	leela	95000	1567500		-		-	-	0.014	-	-	2.138%
2014-04-08T23:01:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.770%
2014-05-09T20:31:00	Jocelyn Larouche	Manual testing	136439	136439		-		-	-	0.011	-	-	0.923%
2014-09-17T22:20:00	ANONYMOUS	Manual testing	172878	172878		-		-	-	0.014	-	-	1.052%
2015-04-30T16:17:00	mikr	MSI	2475400	86660000		-		-	-	0.556	-	-	7.324%
2018-07-10T16:02:43	Jocelyn Larouche	low 4M	1761437	88071850	12	-		-	-	0.508	-	-	7.127%
2018-08-13T11:55:07	Jocelyn Larouche	low 4M	1761437	176143700	12	-		-	-	0.886	-	-	7.906%
2018-10-19T02:38:31	Jocelyn Larouche	low 4M	1761437	193758070	12	-		-	-	0.961	-	-	8.013%

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		-	-	0.065	-	-
2010-04-19T13:16:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.087	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.174	-	-
2010-12-13T03:32:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.906	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.557	-	-
2015-04-29T11:32:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.115	-	-
2015-04-29T11:32:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.121	-	-
2015-09-07T08:31:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.242	-	-
2017-10-16T06:41:24	BenGees	Manual testing	2⁶⁶	2⁶⁷		-	-	8.485	-	-
2019-08-16T11:17:51	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.97	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.263 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:	17.263 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		248	17.06
50000	5000000	2277456438811176167639	3	0.206

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-01T03:02:00	Team_Bundu	bundu4	50000	5000000						3	0.206
2009-10-13T22:28:00	Conductor	home	50000	5000000						3	0.206
2010-09-02T10:52:00	Kamil_Górski	thefault	50000	5000000						3	0.206
2012-01-18T00:45:00	S36049	Wolle5	50000	5000000						3	0.206
2013-05-26T03:19:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-15T18:54:00	Bruce	snowflake	50000	5000000						3	0.206
2015-01-10T19:29:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-08-25T19:49:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-01-09T00:37:43	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-03-19T22:25:50	Bruce	DESK3	50000	5000000						3	0.206
2016-05-05T23:40:27	Bruce	DESK3	50000	5000000						3	0.206
2016-08-01T11:18:21	Bruce	DESK3	50000	5000000						3	0.206
2016-10-08T03:25:12	Bruce	DESK3	50000	5000000						3	0.206
2016-12-07T19:17:28	Bruce	DESK3	50000	5000000						3	0.206
2017-02-05T23:07:48	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-09-21T06:05:16	ANONYMOUS	Worker	50000	5000000						3	0.206
2017-12-30T01:13:37	Bruce	DESK3	50000	5000000						3	0.206
2018-02-22T18:55:39	Bruce	DESK3	50000	5000000						3	0.206
2019-11-17T21:08:09	Keysarecool	Boat_Anchor	50000	5000000						3	0.206
2019-11-19T07:08:04	arnaud	CHAMOT06	50000	5000000						3	0.206
2019-11-21T09:48:36	mnd9	dlounge	50000	5000000						3	0.206
2019-11-22T20:48:53	wazuma	G751	50000	5000000						3	0.206
2019-11-25T16:17:54	penlu	grizzly	50000	5000000						3	0.206
2019-11-28T03:34:35	mnd9	50871b	50000	5000000						3	0.206
2019-12-01T10:49:43	Alvin Bunk	i7-Core	50000	5000000						3	0.206
2019-12-05T04:36:16	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.206
2019-12-09T11:49:45	daveward2005	Davy	50000	5000000						3	0.206
2019-12-14T01:16:35	J.R. Allen	lapdell	50000	5000000						3	0.206
2019-12-25T07:51:10	Keysarecool	HPLaptop	50000	5000000						3	0.206
2019-12-30T12:14:59	MarkS	desktop-i7	50000	5000000						3	0.206
2020-01-03T16:07:48	TheJudger	Sinope	50000	5000000						3	0.206
2020-01-04T16:22:12	daveward2005	Davy	50000	5000000						3	0.206
2020-01-11T16:35:18	Keysarecool	HPLaptop	50000	5000000	2277456438811176167639	70.948	3	2	3978396768513443	3	0.206
2020-08-14T09:34:12	TJAOI	Manual testing	50000	5000000						152	10.45

date	userid	compid	res64	spent (GHz-days)
1998-11-28T00:00:00	ANONYMOUS	v4_computers	4325D0B529284897	0.096
2015-07-18T19:04:00	MadPoo	Manual testing	4325D0B529284897	0.096

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 = 1761437, B2 = 193758070 (P-1 stage 2)

B1 = 1761437, B2 = 176143700 (P-1 stage 2)

B1 = 2475400, B2 = 86660000 (P-1 stage 2)

B1 = 1761437, B2 = 88071850 (P-1 stage 2)

B1 = 2475400 (P-1 stage 1)

B1 = 1761437 (P-1 stage 1)

B1 = 95000, B2 = 1567500 (P-1 stage 2)

B1 = 172878 (P-1 stage 1)

B1 = 136439 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

10³

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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