M96078113 Mersenne number exponent details

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M96078113

<<<

is 2 ^96078113 - 1

has 28922394 decimal digits

takes 348.016 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	39.8204	63.5135%	885000	18585000	9.7132	4.6390%	49.5335	65.2061%	1.6926%
PrimeNet	2⁷¹	4.9759	61.9718%	400000	20000000	7.7095	5.6903%	12.6855	64.1357%	2.1639%
GPU72	2⁷⁵	79.6426	64.0000%	650000	22000000	9.5234	4.2062%	89.1659	65.5142%	1.5142%
Difference	-1	-39.8222	-0.4865%	+235000	-3415000	+0.1898	+0.4327%	-39.6324	-0.3081%	-0.3081%

Known prime factors (1 factor, 75.1 bits, 0.00007815% 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
96078113	40150180980878122799159	23	75.088	208945511767483 43 × 827 × 1669 × 3520487	2019-09-15	1669	3520487	109.35	1.0157	1.8816

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-09-15T22:49:10	Jwb52z	Clay	885000	18585000			40150180980878122799159	23	75.088	9.71	696.0	19.43	4.639%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-12-28T22:30:00	Architects Cubed	m1_18	2⁶⁴	2⁶⁵		-	-	0.039	-	-
2014-03-04T13:14:00	Carsten Kossendey	Manual testing	2⁶⁵	2⁶⁷		-	-	0.233	-	-
2014-03-26T16:06:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.311	-	-
2014-10-03T17:41:00	shauge	Manual testing	2⁶⁸	2⁶⁹		-	-	0.622	-	-
2014-10-03T17:41:00	shauge	Manual testing	2⁶⁹	2⁷⁰		-	-	1.244	-	-
2014-10-03T17:41:00	shauge	Manual testing	2⁷⁰	2⁷¹		-	-	2.489	-	-
2018-12-27T08:49:34	Andrew B	Manual testing	2⁷¹	2⁷²		-	-	4.978	-	-
2019-03-06T06:49:31	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	9.96	-	-
2019-06-30T07:42:41	Jerry	Manual testing	2⁷³	2⁷⁴		-	-	19.91	-	-

ECM factoring results:
No ECM results for M96078113

Lucas-Lehmer results:
No L-L results for M96078113

PRP results:
No PRP results for M96078113

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 = 885000, B2 = 18585000 (P-1 stage 2)

B1 = 885000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-09-15T22:49:10+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