M1698943 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	35.0835	69.1176%	10000000	200000000	1.3888	9.1076%	36.4723	71.9303%	2.8127%
PrimeNet	2⁵⁷	0.0113	63.1579%	8000	130000	0.0010	2.7310%	0.0123	64.1640%	1.0061%
GPU72	2⁶¹	0.1808	65.5738%	7000	100000	0.0008	1.3011%	0.1816	66.0217%	0.4479%
Difference	+7	+34.9027	+3.5439%	+9993000	+199900000	+1.3880	+7.8065%	+36.2907	+5.9086%	+5.9086%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1698943	4851037731064787955501007	25	82.005	1427663474014368921 3 × 11 × 43262529515586937	2019-08-11	11	43262529515586937	646,521	160,847,381	300,418,114

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-01-27T22:34:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.003	-	-	0.488%
2011-02-07T12:29:00	Carsten Kossendey	leela	90000	1485000		-		-	-	0.011	-	-	2.074%
2014-03-31T21:13:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.007	-	-	0.765%
2014-05-01T10:19:00	ANONYMOUS	Manual testing	150000	150000		-		-	-	0.010	-	-	0.967%
2014-10-01T23:01:00	Jocelyn Larouche	Manual testing	187779	187779		-		-	-	0.013	-	-	1.093%
2015-01-05T22:25:00	Jocelyn Larouche	Manual testing	281668	281668		-		-	-	0.019	-	-	1.344%
2015-02-02T07:32:00	Jocelyn Larouche	Manual testing	309834	309834		-		-	-	0.021	-	-	1.407%
2015-02-11T09:05:00	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
1999-07-26T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.011	-	-
2003-02-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.023	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.068	-	-
2010-04-25T18:20:00	Architects Cubed	m1_tt	2⁶⁰	2⁶¹		-	-	0.090	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.181	-	-
2010-09-26T01:51:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.939	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.578	-	-
2015-01-30T19:14:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	1.156	-	-
2015-01-30T19:14:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	2.199	-	-
2015-10-11T16:52:37	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.398	-	-
2017-09-01T10:33:56	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.797	-	-
2019-06-17T12:15:07	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.59	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.919 GHz-days
Estimated T-Level:	23.411

Digits	B1	Curves	Complete	FacMiss
20	11000	191 / 100	1.910	14.666%
25	50000	191 / 280	0.682	50.492%
30	250000	15 / 640	0.023	97.682%

New Calculation Method

Total ECM effort:	14.919 GHz-days
Estimated T-Level:	23.411

Digits	B1	Complete	FacMiss
20	11000	6.927	0.098%
25	50000	0.694	49.965%
30	250000	0.051	95.018%
35	1000000	0.003	99.693%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		176	10.46
250000	25000000	4851037731064787955501007	15	4.458

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-06-22T16:06:00	James Heinrich	Q6600	50000	5000000						3	0.178
2009-06-16T10:21:00	Lupo	yorick	50000	5000000						3	0.178
2010-06-25T04:51:00	James Hintz	ryan	50000	5000000						3	0.178
2011-11-16T04:50:00	S36049	Wolle5	50000	5000000						3	0.178
2013-04-16T20:41:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2014-01-06T21:14:00	Sara	Sara	50000	5000000						3	0.178
2014-09-15T09:25:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2015-01-13T09:28:00	mikr	MSI	50000	5000000						12	0.713
2016-06-05T20:03:17	Bruce	DESK3	50000	5000000						3	0.178
2016-09-06T11:38:09	Bruce	DESK3	50000	5000000						3	0.178
2016-11-08T07:58:41	Bruce	DESK3	50000	5000000						3	0.178
2017-01-03T20:41:47	Bruce	DESK3	50000	5000000						3	0.178
2017-04-22T06:43:45	ANONYMOUS	Worker	50000	5000000						3	0.178
2017-11-13T01:56:02	Bruce	DESK3	50000	5000000						3	0.178
2018-01-16T23:20:26	Bruce	DESK3	50000	5000000						3	0.178
2019-07-05T12:47:29	storm5510	7700_Kaby_Lake	50000	5000000						3	0.178
2019-08-11T07:40:54	nordi	nordiputer	250000	25000000	4851037731064787955501007	82.005	15	2	2824948378519183	15	4.458
2020-03-03T14:19:45	TJAOI	Manual testing	50000	5000000						119	7.073

date	userid	compid	res64	spent (GHz-days)
2015-03-28T21:06:00	MadPoo	Manual testing	D76FC59D7304CF88	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 = 309834 (P-1 stage 1)

B1 = 281668 (P-1 stage 1)

B1 = 187779 (P-1 stage 1)

B1 = 90000, B2 = 1485000 (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)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

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