M94891409 Mersenne number exponent details

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M94891409

<<<

is 2 ^94891409 - 1

has 28565161 decimal digits

takes 343.718 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
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	2⁷⁵	80.6386	64.0000%	820000	820000	4.3068	1.7550%	84.9454	64.6318%	0.6318%
PrimeNet	2⁷¹	5.0382	61.9718%	400000	18000000	7.1372	5.5793%	12.1754	64.0935%	2.1217%
GPU72	2⁷⁵	80.6386	64.0000%	650000	22000000	9.5234	4.1999%	90.1619	65.5120%	1.5120%
Difference	-	-	-	+170000	-21180000	-5.2165	-2.4449%	-5.2165	-0.8802%	-0.8802%

Known prime factors (1 factor, 79.7 bits, 0.00008401% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
94891409	997387267742849938693943	24	79.722	5255413942387819 7 × 199 × 2269 × 22691 × 73277	2019-09-08	22691	73277	1,714.5	0.1337	0.2425

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-09-09T00:49:33	Jwb52z	Clay	820000	820000			997387267742849938693943	24	79.722	4.307	687.4	8.614	1.755%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-12-27T21:30:00	Architects Cubed	m1_05	2⁶⁴	2⁶⁵		-	-	0.039	-	-
2014-01-21T10:56:00	sasaki	Manual testing	2⁶⁵	2⁶⁷		-	-	0.236	-	-
2014-05-20T09:13:00	g0b	Manual testing	2⁶⁷	2⁶⁸		-	-	0.315	-	-
2014-05-28T07:33:00	g0b	Manual testing	2⁶⁸	2⁶⁹		-	-	0.630	-	-
2014-06-12T08:15:00	g0b	Manual testing	2⁶⁹	2⁷⁰		-	-	1.260	-	-
2014-09-26T08:13:00	A_Savchenko	Manual testing	2⁷⁰	2⁷¹		-	-	2.520	-	-
2018-11-08T18:24:24	Andrew B	Manual testing	2⁷¹	2⁷²		-	-	5.040	-	-
2019-03-18T17:09:30	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	10.08	-	-
2019-09-07T03:21:13	Hans Loeblich	Manual testing	2⁷³	2⁷⁴		-	-	20.16	-	-
2019-09-07T19:43:49	Corbeau	Manual testing	2⁷⁴	2⁷⁵		-	-	40.32	-	-

ECM factoring results:
No ECM results for M94891409

Lucas-Lehmer results:
No L-L results for M94891409

PRP results:
No PRP results for M94891409

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 = 820000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-09-09T00:49:33+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