M111006953 Mersenne number exponent details

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is 2 ^111006953 - 1

has 33416423 decimal digits

takes 487.197 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	2⁷¹	4.3067	61.9718%	1270000	48895000	24.5948	7.5394%	28.9015	69.5112%	7.0112%
PrimeNet	2⁷²	8.6151	62.5000%	450000	24000000	11.0291	5.5134%	19.6441	68.0134%	5.5134%
GPU72	2⁷⁶	137.8652	64.4737%	700000	26000000	13.2268	4.0523%	151.0920	68.5260%	4.0523%
Difference	-5	-133.5584	-2.5019%	+570000	+22895000	+11.3680	+3.4870%	-122.1905	+0.9852%	+0.9852%

Known prime factors (1 factor, 84.5 bits, 0.00007610% 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
111006953	26827104486685823567531359	26	84.472	120835243926953943 3 × 19 × 1627 × 5261 × 247664017	5261	247664017	2018-08-26	66,485	85.902	160.38

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-08-26T06:59:04	Niels_Mache_Nextcloud	Manual testing	1270000	48895000	12		26827104486685823567531359	26	84.472	24.59	974.4	49.19	7.539%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-05-02T15:14:00	Donna Noble	Phenom9550	2⁶³	2⁶⁴		-	-	0.018	-	-
2010-09-20T20:13:00	Mr-Plonk	linux-i7-920	2⁶⁴	2⁶⁵		-	-	0.034	-	-
2012-05-27T13:24:00	omiXorp	LLB03-z800-23	2⁶⁵	2⁶⁶		-	-	0.067	-	-
2013-10-04T01:14:00	SMoffat	Manual testing	2⁶⁶	2⁶⁷		-	-	0.135	-	-
2014-11-13T14:05:00	wombatman	Manual testing	2⁶⁷	2⁶⁸		-	-	0.269	-	-
2014-11-16T15:11:00	RichD0	Manual testing	2⁶⁸	2⁶⁹		-	-	0.539	-	-
2015-09-13T13:58:00	PascalBieri	Manual testing	2⁶⁹	2⁷⁰		-	-	1.077	-	-
2015-09-14T04:59:00	maxa	Manual testing	2⁷⁰	2⁷¹		-	-	2.154	-	-

ECM factoring results:
Exponent "111006953" not found

Lucas-Lehmer results:
Exponent "111006953" not found

PRP results:
Exponent "111006953" 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 = 1270000, B2 = 48895000 (stage 2)

B1 = 1270000 (stage 1)

10²

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TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-08-26T06:59:04+00:00