M1700341 Mersenne number exponent details

is 2 ^1700341 - 1

has 511854 decimal digits

takes 0.080 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	17.4753	68.6567%	10000000	200000000	1.3888	9.8025%	18.8641	71.7291%	3.0724%
PrimeNet	2⁵⁷	0.0113	63.1579%	8000	130000	0.0010	2.7314%	0.0123	64.1642%	1.0063%
GPU72	2⁶¹	0.1807	65.5738%	7000	100000	0.0008	1.3014%	0.1815	66.0218%	0.4480%
Difference	+6	+17.2946	+3.0829%	+9993000	+199900000	+1.3880	+8.5011%	+18.6826	+5.7074%	+5.7074%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1700341	7392273238363592426383	22	72.647	2173761980203851 3³ × 5867 × 13722465139	2018-05-26	5867	13722465139	773.21	51.020	95.290

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	-	-	0.571%
2011-02-09T16:50:00	Carsten Kossendey	leela	90000	1507500		-		-	-	0.011	-	-	2.352%
2014-03-31T21:13:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.007	-	-	0.883%
2014-05-03T00:50:00	Jocelyn Larouche	Manual testing	150000	150000		-		-	-	0.010	-	-	1.108%
2014-10-01T23:01:00	Jocelyn Larouche	Manual testing	187748	187748		-		-	-	0.013	-	-	1.247%
2015-01-05T22:25:00	Jocelyn Larouche	Manual testing	281622	281622		-		-	-	0.019	-	-	1.524%
2015-02-02T07:32:00	Jocelyn Larouche	Manual testing	309784	309784		-		-	-	0.021	-	-	1.594%
2015-02-15T11:05:00	VictordeHollander	Manual testing	10000000	200000000		-		-	-	1.389	-	-	9.803%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-11-21T00:00:00	PHeede	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	-	-
2010-04-20T22:46:00	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	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.920 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:	14.920 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		235	13.97
50000	5000000	7392273238363592426383	16	0.951

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-06-21T02:40:00	Team_Bundu	bundu4	50000	5000000						3	0.178
2009-06-17T05:40:00	James Hintz	01_060309	50000	5000000						3	0.178
2010-06-26T15:01:00	Lupo	yorick	50000	5000000						3	0.178
2011-11-16T10:10:00	Dmitry B. Khachaturov	dix-home	50000	5000000						3	0.178
2013-04-17T15:00:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2014-01-05T03:27:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2014-09-17T12:39:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2015-05-21T15:30:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2015-05-31T16:13:00	mikr	MSI	50000	5000000						6	0.357
2016-04-09T05:47:18	Bruce	DESK3	50000	5000000						3	0.178
2016-06-06T14:37:38	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2016-09-07T13:41:33	Bruce	DESK3	50000	5000000						3	0.178
2016-11-09T07:02:30	Bruce	DESK3	50000	5000000						3	0.178
2017-01-04T15:54:36	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2017-04-22T14:16:02	ANONYMOUS	Worker	50000	5000000						3	0.178
2017-11-13T18:37:58	Bruce	DESK3	50000	5000000						3	0.178
2018-01-17T15:42:53	Bruce	DESK3	50000	5000000						3	0.178
2018-05-26T15:44:57	nordi	nordiputer	50000	5000000	7392273238363592426383	72.647	16	2		16	0.951
2020-02-17T11:30:46	TJAOI	Manual testing	50000	5000000						181	10.76

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-11-28T00:00:00	PHeede	v4_computers	28A4BAA6C1230AEB	0.080
2015-07-10T01:00:00	MadPoo	Manual testing	28A4BAA6C1230AEB	0.080

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-05-27T00:40:22

Oliver Kruse

GTX-3

7392273238363592426383

36C7E2AEB1A655__

2018-05-27T08:16:08

Battlemaxx

Work

7392273238363592426383

36C7E2AEB1A655__

2018-05-28T01:30:27

ANONYMOUS

dory

7392273238363592426383

36C7E2AEB1A655__

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 = 309784 (P-1 stage 1)

B1 = 281622 (P-1 stage 1)

B1 = 187748 (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

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-02-17T11:30:46+00:00

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