M94539113 Mersenne number exponent details

≡

is 2 ^94539113 - 1

has 28459109 decimal digits

takes 342.442 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- L-L 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	40.4686	63.5135%	875000	19906250	10.0416	4.6857%	50.5102	65.2232%	3.2513%
PrimeNet	2⁷¹	5.0569	61.9718%	400000	18000000	7.1372	5.5768%	12.1942	64.0926%	2.1208%
GPU72	2⁷⁵	80.9391	64.0000%	650000	22000000	9.5234	4.1981%	90.4624	65.5113%	1.5113%
Difference	-1	-40.4705	-0.4865%	+225000	-2093750	+0.5182	+0.4876%	-39.9522	-0.2881%	-0.2881%

Known prime factors (1 factor, 88.8 bits, 0.00009392% 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
94539113	537128397525222220622998721	27	88.795	2840773413672826720 2⁵ × 5 × 11 × 47 × 59 × 107 × 353 × 15410459	2019-09-04	353	15410459	1,073,539	4.4115	8.2363

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-09-04T04:02:42	Ryan Propper	Manual testing	875000	19906250	6		537128397525222220622998721	27	88.795	10.04	684.9	20.08	4.686%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-12-28T18:40:00	For Research	m1_56	2⁶⁴	2⁶⁵		-	-	0.040	-	-
2014-02-06T07:08:00	Carsten Kossendey	Manual testing	2⁶⁵	2⁶⁸		-	-	0.553	-	-
2014-05-10T13:20:00	ANONYMOUS	Manual testing	2⁶⁸	2⁶⁹		-	-	0.632	-	-
2014-05-13T18:38:00	webbert	Manual testing	2⁶⁹	2⁷⁰		-	-	1.265	-	-
2014-09-19T17:26:00	shauge	Manual testing	2⁷⁰	2⁷¹		-	-	2.529	-	-
2018-12-03T11:36:54	LaurV	Manual testing	2⁷¹	2⁷²		-	-	5.059	-	-
2019-04-04T14:20:57	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	10.12	-	-
2019-09-03T16:28:02	ixfd64	Manual testing	2⁷³	2⁷⁴		-	-	20.24	-	-

ECM factoring results:
Exponent "94539113" not found

Lucas-Lehmer results:
Exponent "94539113" not found

PRP results:
Exponent "94539113" not found

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 = 875000, B2 = 19906250 (stage 2)

B1 = 875000 (stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-09-04T04:02:42+00:00