M112721317 Mersenne number exponent details

≡

is 2 ^112721317 - 1

has 33932498 decimal digits

takes 494.721 GHz-days to do one PRP test

Last-known PrimeNet details:
-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	2⁷³	16.9697	63.0137%	1215000	39183750	20.8967	6.1054%	37.8664	69.1191%	6.6191%
PrimeNet	2⁷²	8.4841	62.5000%	450000	24000000	11.0291	5.5233%	19.5131	68.0233%	5.5233%
GPU72	2⁷⁶	135.7684	64.4737%	700000	26000000	13.2268	4.0598%	148.9952	68.5335%	4.0598%
Difference	-3	-118.7987	-1.4600%	+515000	+13183750	+7.6699	+2.0456%	-111.1288	+0.5856%	+0.5856%

Known prime factors (1 factor, 81.2 bits, 0.00007201% known):

Remaining cofactor is PRP status unknown

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
112721317	2715978746105352241867159	25	81.168	12047316418887087 3 × 13 × 23 × 3851 × 3487581421	3851	3487581421	2013-11-23	5,893.5	1,209.2	2,258.5

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-11-23T13:56:00	Craig Meyers	Manual testing	1215000	39183750	6		2715978746105352241867159	25	81.168	20.90	989.4	41.79	6.105%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-05-09T16:21:00	rabbut	rabbit	2⁶³	2⁶⁴		-	-	0.017	-	-
2010-09-26T08:57:00	Commaster	Core-i7	2⁶⁴	2⁶⁵		-	-	0.033	-	-
2012-06-02T03:31:00	Donna Noble	Opt6128x4x4	2⁶⁵	2⁶⁶		-	-	0.066	-	-
2013-10-11T01:39:00	SMoffat	Manual testing	2⁶⁶	2⁶⁷		-	-	0.133	-	-
2013-10-13T17:39:00	ANONYMOUS	Manual testing	2⁶⁷	2⁶⁸		-	-	0.265	-	-
2013-10-13T17:39:00	ANONYMOUS	Manual testing	2⁶⁸	2⁶⁹		-	-	0.530	-	-
2013-10-13T17:39:00	ANONYMOUS	Manual testing	2⁶⁹	2⁷⁰		-	-	1.061	-	-
2013-10-13T17:39:00	ANONYMOUS	Manual testing	2⁷⁰	2⁷¹		-	-	2.121	-	-
2013-10-13T17:39:00	ANONYMOUS	Manual testing	2⁷¹	2⁷²		-	-	4.243	-	-
2013-10-13T17:39:00	ANONYMOUS	Manual testing	2⁷²	2⁷³		-	-	8.486	-	-

ECM factoring results:
Exponent "112721317" not found

Lucas-Lehmer results:
Exponent "112721317" not found

PRP results:
Exponent "112721317" 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 = 1215000, B2 = 39183750 (stage 2)

B1 = 1215000 (stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2013-11-23T13:56:35+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