M1700471 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	35.0520	69.1176%	10000000	200000000	1.3888	9.1084%	36.4408	71.9305%	2.8129%
PrimeNet	2⁵⁷	0.0113	63.1579%	8000	130000	0.0010	2.7314%	0.0123	64.1642%	1.0063%
GPU72	2⁶¹	0.1806	65.5738%	7000	100000	0.0008	1.3014%	0.1815	66.0218%	0.4480%
Difference	+7	+34.8713	+3.5439%	+9993000	+199900000	+1.3880	+7.8070%	+36.2593	+5.9087%	+5.9087%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1700471	1319669376966271325878524775361	31	100.058	388030544762677906850080 2⁵ × 5 × 9839 × 246487539868557467	2019-12-19	9839	246487539868557467	1.033e+11	916,425,268	1.712e+9

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-01-27T22:35:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.003	-	-	0.488%
2011-02-08T15:59:00	Carsten Kossendey	leela	90000	1507500		-		-	-	0.011	-	-	2.082%
2014-03-31T21:13:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.007	-	-	0.765%
2014-05-03T00:50:00	Jocelyn Larouche	Manual testing	150000	150000		-		-	-	0.010	-	-	0.967%
2014-10-01T23:01:00	Jocelyn Larouche	Manual testing	187745	187745		-		-	-	0.013	-	-	1.093%
2015-01-05T22:25:00	Jocelyn Larouche	Manual testing	281617	281617		-		-	-	0.019	-	-	1.344%
2015-02-02T07:32:00	Jocelyn Larouche	Manual testing	309778	309778		-		-	-	0.021	-	-	1.407%
2015-02-11T12:22:00	Jocelyn Larouche	Manual testing	431911	431911		-		-	-	0.029	-	-	1.643%
2015-02-15T11:05:00	VictordeHollander	Manual testing	10000000	200000000		-		-	-	1.389	-	-	9.108%

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	-	-
2003-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.023	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.068	-	-
2010-04-21T13:12:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.090	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.181	-	-
2010-10-04T14:38:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.939	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.577	-	-
2015-02-13T10:43:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	1.155	-	-
2015-02-13T10:43:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	2.197	-	-
2015-08-30T20:42:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.395	-	-
2018-06-18T10:05:51	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.789	-	-
2019-08-06T10:06:05	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.58	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	35.190 GHz-days
Estimated T-Level:	23.643

Digits	B1	Curves	Complete	FacMiss
20	11000	204 / 100	2.040	12.870%
25	50000	204 / 280	0.729	48.197%
30	250000	97 / 640	0.152	85.926%

New Calculation Method

Total ECM effort:	35.190 GHz-days
Estimated T-Level:	23.643

Digits	B1	Complete	FacMiss
20	11000	11.535	0.001%
25	50000	1.481	22.749%
30	250000	0.145	86.472%
35	1000000	0.011	98.869%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		107	6.360
250000	25000000		75	22.29
250000	25000000	1319669376966271325878524775361	22	6.539

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-06-21T04:33:00	Team_Bundu	bundu4	50000	5000000						3	0.178
2009-06-23T15:24:00	Lukasz Wrobel	cm-3	50000	5000000						3	0.178
2010-06-26T18:24:00	Lupo	yorick	50000	5000000						3	0.178
2011-11-17T12:17:00	S36049	Wolle5	50000	5000000						3	0.178
2013-04-17T18:22:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2014-01-05T06:38:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2014-09-17T19:56:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2015-05-21T23:26:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2015-05-31T21:43:00	mikr	MSI	50000	5000000						6	0.357
2016-04-09T08:07:36	Bruce	DESK3	50000	5000000						3	0.178
2016-06-06T13:30:39	Bruce	DESK3	50000	5000000						3	0.178
2016-09-07T15:15:53	Bruce	DESK3	50000	5000000						3	0.178
2016-11-09T11:29:40	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2017-01-04T14:11:50	Bruce	DESK3	50000	5000000						3	0.178
2017-04-22T15:08:04	ANONYMOUS	Worker	50000	5000000						3	0.178
2017-11-13T19:24:06	Bruce	DESK3	50000	5000000						3	0.178
2018-01-17T18:49:39	Bruce	DESK3	50000	5000000						3	0.178
2018-05-29T07:36:17	nordi	nordiputer	50000	5000000						50	2.972
2019-11-18T13:57:05	nokno	leo231	50000	5000000						3	0.178
2019-12-19T09:16:53	mnd9	27016b	250000	25000000						25	7.430
2019-12-19T11:34:13	mnd9	27016b	250000	25000000						25	7.430
2019-12-19T16:59:39	mnd9	27016b	250000	25000000	1319669376966271325878524775361	100.058	22	2	7438059492676182	22	6.539
2019-12-19T19:31:29	mnd9	27016b	250000	25000000						25	7.430

date	userid	compid	res64	spent (GHz-days)
1998-12-21T00:00:00	ANONYMOUS	v4_computers	4F15E7A3A740ECA0	0.080
2015-07-19T18:02:00	MadPoo	Manual testing	4F15E7A3A740ECA0	0.080

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 = 10000000, B2 = 200000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 431911 (P-1 stage 1)

B1 = 309778 (P-1 stage 1)

B1 = 281617 (P-1 stage 1)

B1 = 187745 (P-1 stage 1)

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

B1 = 150000 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

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