M12067273 Mersenne number exponent details

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is 2 ^12067273 - 1

has 3632612 decimal digits

takes 4.646 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 L-L tests remaining

	Residue	Status
L-L	D95CAA090988FCF3	double-checked
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	2⁶⁷	2.4624	64.1791%	140000	1925000	0.1324	3.5842%	2.5948	65.4630%	1.2839%
PrimeNet	2⁶⁴	0.2950	62.5000%	55000	1500000	0.0747	4.1172%	0.3696	64.0439%	1.5439%
GPU72	2⁶⁸	4.9394	64.7059%	80000	2000000	0.1031	2.9436%	5.0424	65.7448%	1.0389%
Difference	-1	-2.4770	-0.5268%	+60000	-75000	+0.0294	+0.6407%	-2.4476	-0.2818%	-0.2818%

Known prime factors (1 factor, 66.2 bits, 0.00054895% 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
12067273	87345758061474584473	20	66.243	3619117511532 2² × 3³ × 19 × 23 × 43 × 1783319	2015-02-08	43	1783319	2.1278	0.0543	0.1013

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-08T00:00:00	ANONYMOUS	v4_computers	140000	1925000		-		-	-	0.132	-	-	3.584%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-02-23T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁴		-	-	0.163	-	-
2013-09-23T11:35:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	0.310	-	-
2013-10-03T01:38:00	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.619	-	-
2015-02-08T16:36:00	Tha	Manual testing	2⁶⁶	2⁶⁷	87345758061474584473	66.243	20	0.904	9.453	1.839

ECM factoring results:
Exponent "12067273" not found

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-02-10T00:00:00	ANONYMOUS	v4_computers	D95CAA090988FCF3	4.646
2004-05-25T00:00:00	Team Prime Rib	v4_computers	D95CAA090988FCF3	4.646
2004-07-26T00:00:00	ANONYMOUS	v4_computers	D95CAA090988FCF3	4.646

PRP results:
Exponent "12067273" 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 = 140000, B2 = 1925000 (P-1 stage 2)

B1 = 140000 (P-1 stage 1)

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TF factor-bounds graph:

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Last modified: 2015-02-08T16:36:00+00:00