M1741373 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	34.2287	69.1176%	1741373	191551030	0.9505	7.9819%	35.1791	71.5827%	2.4650%
PrimeNet	2⁵⁷	0.0110	63.1579%	8000	140000	0.0012	2.7998%	0.0122	64.1894%	1.0315%
GPU72	2⁶¹	0.1764	65.5738%	8000	110000	0.0011	1.4112%	0.1775	66.0596%	0.4858%
Difference	+7	+34.0523	+3.5439%	+1733373	+191441030	+0.9494	+6.5707%	+35.0017	+5.5231%	+5.5231%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1741373	2584615095518943339147767	25	81.096	742119894910206871 19 × 2047733 × 19074235673	2020-01-11	2047733	19074235673	326,950	81.900	152.68

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-10T06:34:00	Carsten Kossendey	leela	95000	1543750		-		-	-	0.014	-	-	2.126%
2014-04-05T13:21:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.769%
2014-05-06T10:52:00	Jocelyn Larouche	Manual testing	136858	136858		-		-	-	0.011	-	-	0.923%
2014-09-11T21:44:00	Jocelyn Larouche	Manual testing	173716	173716		-		-	-	0.014	-	-	1.053%
2014-12-02T21:55:00	Jocelyn Larouche	Manual testing	210574	210574		-		-	-	0.017	-	-	1.165%
2015-04-14T07:42:00	mikr	MSI	2475400	86660000		-		-	-	0.556	-	-	7.316%
2018-08-06T14:03:28	Jocelyn Larouche	low 4M	1741373	174137300	12	-		-	-	0.876	-	-	7.875%
2018-10-18T10:38:24	Jocelyn Larouche	low 4M	1741373	191551030	12	-		-	-	0.950	-	-	7.982%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
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	-	-
2010-04-20T13:12:00	Architects Cubed	m1_fw	2⁶⁰	2⁶¹		-	-	0.088	-	-
2016-02-23T16:28:49	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.176	-	-
2010-11-18T02:51:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.917	-	-
2016-02-23T16:28:49	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.564	-	-
2015-05-12T07:14:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.127	-	-
2015-05-12T07:14:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.146	-	-
2015-09-04T17:59:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.291	-	-
2018-01-15T16:18:57	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.583	-	-
2019-07-31T09:42:07	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.17	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.242 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:	17.242 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		250	17.17
50000	5000000	2584615095518943339147767	1	0.069

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-18T23:23:00	paulie	iMac3.4	50000	5000000						3	0.206
2009-06-25T20:23:00	Piepen	T41-2000	50000	5000000						3	0.206
2010-08-25T11:51:00	Anu Järvi	Anu-TEMP	50000	5000000						3	0.206
2011-12-21T06:01:00	Bud	annan	50000	5000000						3	0.206
2013-05-13T18:35:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-12T15:27:00	Bruce	snowflake	50000	5000000						3	0.206
2014-12-12T04:05:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-07-30T01:26:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-12-20T02:00:33	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-03-12T02:56:31	Bruce	DESK3	50000	5000000						3	0.206
2016-04-27T09:08:28	Bruce	DESK3	50000	5000000						3	0.206
2016-07-26T12:17:45	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-09-29T12:38:50	Bruce	DESK3	50000	5000000						3	0.206
2017-06-15T06:22:02	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-06-20T06:39:21	ANONYMOUS	Worker	50000	5000000						3	0.206
2017-07-23T13:45:34	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-12-16T16:31:39	Bruce	DESK3	50000	5000000						3	0.206
2018-02-11T23:37:38	Bruce	DESK3	50000	5000000						3	0.206
2019-11-17T04:54:50	Sergey Nosov	TS140-02	50000	5000000						3	0.206
2019-11-17T19:26:58	mnd9	50871	50000	5000000						3	0.206
2019-11-18T23:36:23	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.206
2019-11-22T02:18:17	mnd9	50871b	50000	5000000						3	0.206
2019-11-22T09:03:59	George Woltman	colab	50000	5000000						3	0.206
2019-11-25T02:07:35	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.206
2019-11-27T03:02:35	Alvin Bunk	i7-Core	50000	5000000						3	0.206
2019-11-30T21:59:15	Alvin Bunk	i7-Core	50000	5000000						3	0.206
2019-12-04T23:17:10	mnd9	50871b	50000	5000000						3	0.206
2019-12-16T03:33:12	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2019-12-19T04:35:57	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2019-12-24T15:49:42	Brett Walker	brain	50000	5000000						3	0.206
2019-12-29T21:00:43	TheJudger	myECM	50000	5000000						3	0.206
2020-01-03T23:58:36	Alvin Bunk	BADCAT	50000	5000000						3	0.206
2020-01-11T08:05:45	mnd9	27016	50000	5000000	2584615095518943339147767	81.096	1	2	7642238545570247	1	0.069
2020-02-24T17:25:56	arachnatur	chef	50000	5000000						3	0.206
2020-07-27T11:05:21	TJAOI	Manual testing	50000	5000000						151	10.37

date	userid	compid	res64	spent (GHz-days)
1998-12-13T00:00:00	ANONYMOUS	v4_computers	A1DD43088A335E90	0.094
2015-06-27T00:57:00	MadPoo	Manual testing	A1DD43088A335E90	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 = 1741373, B2 = 191551030 (P-1 stage 2)

B1 = 1741373, B2 = 174137300 (P-1 stage 2)

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

B1 = 2475400 (P-1 stage 1)

B1 = 1741373 (P-1 stage 1)

B1 = 210574 (P-1 stage 1)

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

B1 = 173716 (P-1 stage 1)

B1 = 136858 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

10³

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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