M5215801 Mersenne number exponent details

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M5215801

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is 2 ^5215801 - 1

has 1570113 decimal digits

takes 0.824 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 L-L tests remaining

	Residue	Status
L-L	25997DED8793A6F5	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	2⁷¹	91.6596	67.6056%	500000	12000000	0.2580	3.7280%	91.9176	68.8133%	5.9101%
PrimeNet	2⁶²	0.1178	62.9032%	22000	500000	0.0110	3.0043%	0.1288	64.0177%	1.1145%
GPU72	2⁶⁶	2.8315	65.1515%	30000	600000	0.0140	1.9882%	2.8455	65.8444%	0.6929%
Difference	+5	+88.8281	+2.4541%	+470000	+11400000	+0.2440	+1.7398%	+89.0721	+2.9689%	+2.9689%

Known prime factors:
No known factors for M5,215,801

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-08-20T05:22:00	Carsten Kossendey	leela	25000	337500		-		-	-	0.010	-	-	0.782%
2010-06-10T06:45:00	Squeeky_Squirrel	P4_2600	60000	975000		-		-	-	0.025	-	-	1.386%
2018-12-30T21:26:50	King	FactorFinder	500000	12000000		-		-	-	0.258	-	-	3.728%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-03-31T00:00:00	Sturle Sunde	v4_computers	?	2⁶¹		-	-	0.029	-	-
1998-05-23T00:00:00	ANONYMOUS	v4_computers	?	2⁶²		-	-	0.059	-	-
2009-06-18T01:55:00	GrunwalderGIMP	Manual testing	2⁶²	2⁶³		-	-	0.188	-	-
2014-12-22T00:47:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.376	-	-
2014-12-22T00:47:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	0.716	-	-
2015-01-24T20:41:00	mognuts	Manual testing	2⁶⁵	2⁶⁶		-	-	1.433	-	-
2015-07-06T15:30:00	mognuts	Manual testing	2⁶⁶	2⁶⁷		-	-	2.865	-	-
2015-08-27T08:46:00	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	5.731	-	-
2015-08-27T08:46:00	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	11.46	-	-
2015-08-27T08:46:00	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	22.92	-	-
2016-01-10T21:45:32	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	45.85	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	2.161 GHz-days
Estimated T-Level:	0.450

Digits	B1	Curves	Complete	FacMiss
20	11000	9 / 100	0.090	91.352%
25	50000	9 / 280	0.032	96.831%

New Calculation Method

Total ECM effort:	2.161 GHz-days
Estimated T-Level:	0.450

Digits	B1	Complete	FacMiss
20	11000	0.290	74.802%
25	50000	0.026	97.410%
30	250000	0.002	99.839%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		9	2.161

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2010-08-27T12:23:00	S00030	vd01	50000	5000000						3	0.720
2014-09-13T03:09:00	Lukasz Wrobel	w1	50000	5000000						3	0.720
2017-10-08T11:11:58	Bruce	desk	50000	5000000						3	0.720

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	ANONYMOUS	v4_computers	25997DED8793A6F5	0.824
2000-08-10T00:00:00	ANONYMOUS	v4_computers	25997DED8793A6F5	0.824

PRP results:
Exponent "5215801" not found

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 = 500000, B2 = 12000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 60000, B2 = 975000 (P-1 stage 2)

B1 = 60000 (P-1 stage 1)

B1 = 25000, B2 = 337500 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-12-30T21:26:50+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