M27304127 Mersenne number exponent details

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M27304127

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is 2 ^27304127 - 1

has 8219362 decimal digits

takes 25.275 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	D81E548E1EB77A19	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	2⁷⁴	140.1204	66.2162%	255000	1275000	0.4169	1.7793%	140.5373	66.8173%	0.6011%
PrimeNet	2⁶⁶	0.5409	62.1212%	120000	4500000	0.4814	5.2165%	1.0223	64.0972%	1.9760%
GPU72	2⁷⁰	8.7514	64.2857%	200000	6000000	0.6926	3.9069%	9.4441	65.6811%	1.3953%
Difference	+4	+131.3690	+1.9305%	+55000	-4725000	-0.2757	-2.1277%	+131.0932	+1.1363%	+1.1363%

Known prime factors:
No known factors for M27304127

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2005-08-01T00:00:00	Vassilo	v4_computers	255000	1275000		-		-	-	0.417	-	-	1.779%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-11-05T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁴		-	-	8.78932e-5	-	-
2001-08-18T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2004-04-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.011	-	-
2004-07-13T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.023	-	-
2004-11-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁷		-	-	1.088	-	-
2012-01-15T13:18:00	David Campeau	Manual testing	2⁶⁷	2⁶⁸		-	-	1.095	-	-
2012-02-05T08:11:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	2.189	-	-
2017-04-03T20:40:01	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	4.379	-	-
2021-02-28T12:40:30	mikr	Manual testing	2⁷⁰	2⁷¹		-	-	8.758	-	-
2021-08-23T16:28:22	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	17.52	-	-
2021-08-23T16:28:22	TheJudger	Manual testing	2⁷²	2⁷³		-	-	35.03	-	-
2021-09-12T12:48:59	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	70.06	-	-

ECM factoring results:
No ECM results for M27304127

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-08-16T00:00:00	Vassilo	v4_computers	D81E548E1EB77A19	25.28
2012-04-11T09:01:00	Dry Creek Photo	DCP-G2	D81E548E1EB77A19	25.28

PRP results:
No PRP results for M27304127

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 = 255000, B2 = 1275000 (P-1 stage 2)

B1 = 255000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶²

2⁶¹

2⁵⁶

2⁵⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-09-12T12:48:59+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