M113122483 Mersenne number exponent details

≡

M113122483

<<<

is 2 ^113122483 - 1

has 34053261 decimal digits

takes 496.482 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	2⁶⁸	0.5269	60.2941%	-	-	-	-	0.5269	60.2941%	0.0000%
PrimeNet	2⁷²	8.4540	62.5000%	450000	24000000	11.0291	5.5256%	19.4830	64.5721%	2.0721%
GPU72	2⁷⁶	135.2869	64.4737%	700000	26000000	13.2268	4.0615%	148.5137	65.9166%	1.4429%
Difference	-8	-134.7600	-4.1796%	-700000	-26000000	-13.2268	-4.0615%	-147.9868	-5.6225%	-5.6225%

Known prime factors (2 factors, 133.1 bits, 0.00011767% 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
113122483	58595101657236456017	20	65.667	258989637176 2³ × 29 × 1116334643	2012-06-04	29	1116334643	0.0662	387.06	722.92
113122483	200069488747136545153	21	67.439	884304708672 2⁶ × 3 × 7 × 11 × 19 × 3148157	2022-08-03	64	3148157	0.4212	1.0919	2.0387

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
113122483	58595101657236456017 200069488747136545153	11723092031649791065332179846143019035601	41	133.106

P-1 results:
No P-1 results for M113122483

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2012-06-04T11:50:00	Corbyguy	home	?	?	58595101657236456017	65.667	20	0.002	1,021	0.003
2010-06-08T21:15:00	1997rj7	Manual testing	2⁶³	2⁶⁴		-	-	0.017	-	-
2010-09-27T21:30:00	Corran	rri7	2⁶⁴	2⁶⁵		-	-	0.033	-	-
2022-08-10T19:29:29	LordJulius	Manual testing	2¹	2⁶⁷	58595101657236456017	65.667	20	0.066	1,021	0.136
2022-08-03T11:15:17	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	200069488747136545153	67.439	21	0.159	1,020	0.326
2022-08-10T19:29:29	LordJulius	Manual testing	2⁶⁷	2⁶⁸	200069488747136545153	67.439	21	0.159	1,020	0.326

ECM factoring results:
No ECM results for M113122483

Lucas-Lehmer results:
No L-L results for M113122483

PRP results:
No PRP results for M113122483

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

10⁰

10¹

10²

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:29+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