M96570209 Mersenne number exponent details

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M96570209

<<<

is 2 ^96570209 - 1

has 29070530 decimal digits

takes 349.799 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	39.6175	63.5135%	890000	890000	4.6745	2.0343%	44.2919	64.2557%	0.7422%
PrimeNet	2⁷¹	4.9506	61.9718%	400000	20000000	7.7095	5.6937%	12.6601	64.1371%	2.1652%
GPU72	2⁷⁵	79.2367	64.0000%	650000	22000000	9.5234	4.2088%	88.7601	65.5152%	1.5152%
Difference	-1	-39.6193	-0.4865%	+240000	-21110000	-4.8489	-2.1745%	-44.4682	-1.2594%	-1.2594%

Known prime factors (1 factor, 84.3 bits, 0.00008734% 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
96570209	24529069813789561422559319	26	84.343	127001225677111051 7 × 53 × 31489 × 82171 × 132299	2019-09-29	82171	132299	59,810	0.4459	0.8783

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-09-29T04:13:04	Jwb52z	Clay	890000	890000			24529069813789561422559319	26	84.343	4.674	699.6	9.349	2.034%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-12-28T00:20:00	Architects Cubed	m1_67	2⁶⁴	2⁶⁵		-	-	0.039	-	-
2014-03-09T18:20:00	Carsten Kossendey	Manual testing	2⁶⁵	2⁶⁷		-	-	0.232	-	-
2014-04-01T06:19:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.310	-	-
2014-04-01T17:12:00	hkskyp	Manual testing	2⁶⁸	2⁶⁹		-	-	0.619	-	-
2014-06-02T13:09:00	Preben S	Manual testing	2⁶⁹	2⁷⁰		-	-	1.238	-	-
2014-10-06T18:31:00	ANONYMOUS	Manual testing	2⁷⁰	2⁷¹		-	-	2.476	-	-
2019-01-07T16:34:05	Andrew B	Manual testing	2⁷¹	2⁷²		-	-	4.952	-	-
2019-03-31T09:00:14	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	9.90	-	-
2019-09-26T16:00:08	Strolling Jellyfish	Manual testing	2⁷³	2⁷⁴		-	-	19.81	-	-

ECM factoring results:
No ECM results for M96570209

Lucas-Lehmer results:
No L-L results for M96570209

PRP results:
No PRP results for M96570209

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 = 890000 (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: 2019-09-29T04:13:04+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