M104819189 Mersenne number exponent details

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M104819189

<<<

is 2 ^104819189 - 1

has 31553721 decimal digits

takes 417.348 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

1 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	0C0F8E3436E5E8__	verified PRP

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁶	146.0037	64.4737%	1300000	1300000	7.5053	1.9220%	153.5091	65.1565%	0.6828%
PrimeNet	2⁷²	9.1237	62.5000%	450000	22000000	9.3765	5.3948%	18.5001	64.5231%	2.0231%
GPU72	2⁷⁶	146.0037	64.4737%	650000	24000000	11.0973	3.9262%	157.1011	65.8685%	1.3948%
Difference	-	-	-	+650000	-22700000	-3.5920	-2.0042%	-3.5920	-0.7120%	-0.7120%

Known prime factors:
No known factors for M104819189

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2020-01-13T12:43:09	andrea.biancalana	info1	1300000	1300000		-		-	-	7.505	-	-	1.922%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-19T12:56:00	Dalos Lee	dalosdesk	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-29T21:24:00	Mr-Plonk	linux-samprom	2⁶⁴	2⁶⁵		-	-	0.036	-	-
2012-05-16T18:08:00	Richard	8F02	2⁶⁵	2⁶⁶		-	-	0.071	-	-
2013-09-09T21:36:00	willmore	Manual testing	2⁶⁶	2⁶⁷		-	-	0.143	-	-
2013-09-12T15:41:00	Cow_tipping	Manual testing	2⁶⁷	2⁶⁸		-	-	0.285	-	-
2013-09-15T16:47:00	ANONYMOUS	Manual testing	2⁶⁸	2⁶⁹		-	-	0.570	-	-
2013-09-24T12:53:00	David Hruska	DesktopII	2⁶⁹	2⁷⁰		-	-	1.141	-	-
2014-05-16T21:36:00	Andreas_Truetsch	Manual testing	2⁷⁰	2⁷¹		-	-	2.281	-	-
2014-12-28T08:16:00	shauge	Manual testing	2⁷¹	2⁷²		-	-	4.563	-	-
2019-12-22T16:26:47	storm5510	Manual testing	2⁷²	2⁷⁴		-	-	27.38	-	-
2020-04-28T00:50:09	Mark Rose	Manual testing	2⁷⁴	2⁷⁵		-	-	36.50	-	-
2021-03-19T03:12:18	yoyorocks1	Manual testing	2⁷⁵	2⁷⁶		-	-	73.00	-	-

ECM factoring results:
No ECM results for M104819189

Lucas-Lehmer results:
No L-L results for M104819189

PRP results:

date	userid	compid	cofactors	res64	PRP
2020-03-08T11:37:58	andrea.biancalana	info1		0C0F8E3436E5E8__	no

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 = 1300000 (P-1 stage 1)

10⁵

10⁶

10⁷

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-03-19T03:12:18+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