M1704103 Mersenne number exponent details

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is 2 ^1704103 - 1

has 512987 decimal digits

takes 0.080 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	6A7D72B1E1357D1D	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	34.9773	69.1176%	10000000	200000000	1.3888	9.1101%	36.3661	71.9311%	2.8134%
PrimeNet	2⁵⁷	0.0113	63.1579%	8000	130000	0.0010	2.7326%	0.0123	64.1646%	1.0067%
GPU72	2⁶¹	0.1803	65.5738%	7000	100000	0.0008	1.3020%	0.1811	66.0220%	0.4482%
Difference	+7	+34.7970	+3.5439%	+9993000	+199900000	+1.3880	+7.8081%	+36.1850	+5.9091%	+5.9091%

Known prime factors:
No known factors for M1704103

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	-	-	0.489%
2011-02-08T05:50:00	Carsten Kossendey	leela	90000	1507500		-		-	-	0.011	-	-	2.083%
2014-03-31T21:13:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.007	-	-	0.766%
2014-04-27T11:48:00	ANONYMOUS	Manual testing	150000	150000		-		-	-	0.010	-	-	0.968%
2014-10-03T21:04:00	Jocelyn Larouche	Manual testing	187664	187664		-		-	-	0.013	-	-	1.093%
2015-01-07T04:02:00	Jocelyn Larouche	Manual testing	281496	281496		-		-	-	0.019	-	-	1.344%
2015-02-13T17:59:00	Jocelyn Larouche	Manual testing	374669	374669		-		-	-	0.026	-	-	1.540%
2015-02-18T11:51:00	VictordeHollander	Manual testing	10000000	200000000		-		-	-	1.389	-	-	9.110%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2021-05-04T14:04:44	Carlos Pinho	HomeComputer	1000000	51000000	2	7			-	-	0.286

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	-	-
2010-04-24T12:42:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.090	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.180	-	-
2010-10-04T14:39:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.937	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.576	-	-
2015-02-13T10:43:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	1.152	-	-
2015-02-13T10:43:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	2.193	-	-
2015-08-30T20:42:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.385	-	-
2018-06-18T10:05:50	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.770	-	-
2019-07-24T10:13:53	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.54	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	16.648 GHz-days
Estimated T-Level:	25.000

Digits	B1	Curves	Complete	FacMiss
20	11000	280 / 100	2.800	5.996%
25	50000	280 / 280	1.000	36.722%

New Calculation Method

Total ECM effort:

16.648 GHz-days

Digits	B1	Complete	FacMiss
20	11000	10.769	0.002%
25	50000	0.996	36.919%
30	250000	0.063	93.908%
35	1000000	0.003	99.707%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	16.65

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-12-06T00:00:00	ANONYMOUS	v4_computers	6A7D72B1E1357D1D	0.080
2015-07-19T18:02:00	MadPoo	Manual testing	6A7D72B1E1357D1D	0.080

PRP results:
No PRP results for M1704103

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 = 374669 (P-1 stage 1)

B1 = 281496 (P-1 stage 1)

B1 = 187664 (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)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-05-04T14:04:44+00:00