M1711519 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	2⁷¹	279.3298	70.4225%	1711519	188267090	0.8104	6.1571%	280.1402	72.2436%	1.8211%
PrimeNet	2⁵⁷	0.0112	63.1579%	8000	140000	0.0010	2.7907%	0.0123	64.1860%	1.0282%
GPU72	2⁶¹	0.1795	65.5738%	7000	100000	0.0008	1.3032%	0.1803	66.0224%	0.4486%
Difference	+10	+279.1503	+4.8488%	+1704519	+188167090	+0.8096	+4.8539%	+279.9599	+6.2212%	+6.2212%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1711519	205626480030029898355673	24	77.444	60071340145809044 2² × 13 × 1155218079727097	2020-03-15	13	1155218079727097	34,776	4,295,029	8,021,917

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-07T12:42:00	Carsten Kossendey	leela	90000	1507500		-		-	-	0.011	-	-	1.430%
2014-04-01T22:35:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.007	-	-	0.495%
2014-05-01T21:15:00	Aaron Haviland	Manual testing	1500000	27500000		-		-	-	0.199	-	-	4.374%
2018-02-04T03:38:00	Jocelyn Larouche	low 4M	1500000	1500000		-		-	-	0.102	-	-	1.975%
2018-02-11T11:28:52	Jocelyn Larouche	low 4M	1711519	27500000	12	-		-	-	0.213	-	-	4.432%
2018-02-11T18:50:07	Jocelyn Larouche	low 4M	1711519	55000000	12	-		-	-	0.315	-	-	5.044%
2018-02-27T12:51:01	Jocelyn Larouche	low 4M	1711519	110000000	12	-		-	-	0.519	-	-	5.667%
2018-04-08T12:40:04	Jocelyn Larouche	low 4M	1711519	171151900	12	-		-	-	0.747	-	-	6.070%
2018-10-16T21:51:19	Jocelyn Larouche	low 4M	1711519	188267090	12	-		-	-	0.810	-	-	6.157%

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	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.067	-	-
2010-04-22T12:40:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.090	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.179	-	-
2010-10-16T22:16:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.933	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.574	-	-
2011-09-29T05:53:00	Sebastian Hornbostel	Manual testing	2⁶³	2⁶⁴		-	-	1.147	-	-
2011-09-29T05:53:00	Sebastian Hornbostel	Manual testing	2⁶⁴	2⁶⁵		-	-	2.183	-	-
2014-01-18T11:21:00	Never Odd Or Even	Manual testing	2⁶⁵	2⁶⁶		-	-	4.366	-	-
2014-01-18T11:21:00	Never Odd Or Even	Manual testing	2⁶⁶	2⁶⁷		-	-	8.732	-	-
2014-01-18T11:21:00	Never Odd Or Even	Manual testing	2⁶⁷	2⁶⁸		-	-	17.46	-	-
2014-01-18T11:21:00	Never Odd Or Even	Manual testing	2⁶⁸	2⁶⁹		-	-	34.93	-	-
2014-01-18T11:21:00	Never Odd Or Even	Manual testing	2⁶⁹	2⁷⁰		-	-	69.86	-	-
2015-11-11T09:24:58	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	139.7	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	16.536 GHz-days
Estimated T-Level:	24.964

Digits	B1	Curves	Complete	FacMiss
20	11000	278 / 100	2.780	6.118%
25	50000	278 / 280	0.993	36.986%

New Calculation Method

Total ECM effort:	16.536 GHz-days
Estimated T-Level:	24.964

Digits	B1	Complete	FacMiss
20	11000	8.968	0.013%
25	50000	0.810	44.464%
30	250000	0.050	95.131%
35	1000000	0.002	99.772%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		275	16.36
50000	5000000	205626480030029898355673	3	0.178

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-01T00:50:00	paulie	iMac3.4	50000	5000000						3	0.178
2009-09-20T11:44:00	SubPrime	abd0	50000	5000000						3	0.178
2010-07-14T12:08:00	ANONYMOUS		50000	5000000						3	0.178
2011-11-27T05:48:00	S36049	Wolle5	50000	5000000						3	0.178
2013-04-24T07:38:00	Donna Noble	opt4820	50000	5000000						3	0.178
2014-01-14T03:20:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2014-10-12T13:33:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2015-06-13T09:13:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2015-09-12T02:10:00	mikr	MSI	50000	5000000						12	0.714
2016-09-11T21:58:45	Bruce	DESK3	50000	5000000						3	0.178
2016-11-15T07:06:53	Bruce	DESK3	50000	5000000						3	0.178
2017-01-09T12:27:11	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2017-04-27T03:54:31	ANONYMOUS	Worker	50000	5000000						3	0.178
2017-11-20T03:51:45	Bruce	DESK3	50000	5000000						3	0.178
2018-01-24T22:16:43	Bruce	DESK3	50000	5000000						3	0.178
2019-04-08T19:35:58	nordi	nordiputer	50000	5000000						50	2.974
2020-01-09T19:33:28	EricP	Cannonfodder	50000	5000000						3	0.178
2020-01-17T23:44:26	mat10243x	B2	50000	5000000						3	0.178
2020-01-23T12:30:17	Keysarecool	HPLaptop	50000	5000000						3	0.178
2020-01-31T06:22:19	David_McCann	i5	50000	5000000						3	0.178
2020-02-09T08:10:06	daveward2005	Davy	50000	5000000						3	0.178
2020-02-16T21:37:31	Alvin Bunk	BADCAT	50000	5000000						3	0.178
2020-02-24T05:18:09	mnd9	kitchen	50000	5000000						3	0.178
2020-03-01T20:46:05	Keysarecool	Boat_Anchor	50000	5000000						3	0.178
2020-03-07T20:46:48	Will Hockensmith	HomeDesktop	50000	5000000						3	0.178
2020-03-15T09:34:04	mnd9	l2lounge	50000	5000000	205626480030029898355673	77.444	3	2	333716828156392	3	0.178
2020-03-23T10:28:47	TJAOI	Manual testing	50000	5000000						144	8.565

date	userid	compid	res64	spent (GHz-days)
1999-03-15T00:00:00	ANONYMOUS	v4_computers	0AA0637D7F0EA11D	0.081
1999-05-16T00:00:00	ANONYMOUS	v4_computers	0AA0637D7F0EA11D	0.081
2015-07-19T18:02:00	MadPoo	Manual testing	0AA0637D7F0EA11D	0.081

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 = 1711519, B2 = 188267090 (P-1 stage 2)

B1 = 1711519, B2 = 171151900 (P-1 stage 2)

B1 = 1711519, B2 = 110000000 (P-1 stage 2)

B1 = 1711519, B2 = 55000000 (P-1 stage 2)

B1 = 1711519, B2 = 27500000 (P-1 stage 2)

B1 = 1500000, B2 = 27500000 (P-1 stage 2)

B1 = 1711519 (P-1 stage 1)

B1 = 1500000 (P-1 stage 1)

B1 = 90000, B2 = 1507500 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

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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