M97453399 Mersenne number exponent details

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M97453399

<<<

is 2 ^97453399 - 1

has 29336397 decimal digits

takes 371.676 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	2⁷⁴	39.2584	63.5135%	905000	905000	5.0048	2.0505%	44.2632	64.2617%	0.7482%
PrimeNet	2⁷²	9.8132	62.5000%	400000	20000000	8.1175	5.1831%	17.9307	64.4436%	1.9436%
GPU72	2⁷⁶	157.0391	64.4737%	600000	20000000	9.1632	3.7189%	166.2023	65.7949%	1.3212%
Difference	-2	-117.7807	-0.9602%	+305000	-19095000	-4.1585	-1.6684%	-121.9392	-1.5332%	-1.5332%

Known prime factors (1 factor, 77.1 bits, 0.00007913% 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
97453399	163141033136105093126137	24	77.110	837020744325732 2² × 3 × 5743 × 62467 × 194431	2019-10-16	62467	194431	510.69	0.3852	0.7031

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-10-16T17:10:18	Jwb52z	Clay	905000	905000			163141033136105093126137	24	77.110	5.005	743.4	10.01	2.051%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-01-20T01:50:00	Architects Cubed	m1_44	2⁶⁴	2⁶⁵		-	-	0.038	-	-
2014-03-21T13:26:00	Carsten Kossendey	Manual testing	2⁶⁵	2⁶⁷		-	-	0.230	-	-
2014-04-12T13:14:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.307	-	-
2014-10-05T10:18:00	PascalBieri	Manual testing	2⁶⁸	2⁶⁹		-	-	0.613	-	-
2014-10-20T23:44:00	PascalBieri	Manual testing	2⁶⁹	2⁷⁰		-	-	1.227	-	-
2014-10-27T18:43:00	PascalBieri	Manual testing	2⁷⁰	2⁷¹		-	-	2.454	-	-
2019-01-07T17:07:55	Niels_Mache_Nextcloud	Manual testing	2⁷¹	2⁷²		-	-	4.908	-	-
2019-04-05T06:08:39	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	9.82	-	-
2019-10-14T13:29:11	George Woltman	Manual testing	2⁷³	2⁷⁴		-	-	19.63	-	-

ECM factoring results:
No ECM results for M97453399

Lucas-Lehmer results:
No L-L results for M97453399

PRP results:
No PRP results for M97453399

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 = 905000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-10-16T17:10:18+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