M69263003 Mersenne number exponent details

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M69263003

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is 2 ^69263003 - 1

has 20850242 decimal digits

takes 185.182 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	2⁷¹	6.9024	61.9718%	750000	750000	2.9076	2.5262%	9.8099	62.9325%	0.9607%
PrimeNet	2⁷⁰	3.4499	61.4286%	300000	13000000	3.8455	5.3882%	7.2954	63.5069%	2.0783%
GPU72	2⁷⁴	55.2368	63.5135%	450000	15000000	4.8177	3.9447%	60.0545	64.9528%	1.4393%
Difference	-3	-48.3344	-1.5417%	+300000	-14250000	-1.9102	-1.4185%	-50.2446	-2.0203%	-2.0203%

Known prime factors (1 factor, 74.8 bits, 0.00010797% 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
69263003	32482532468448662230681	23	74.782	234486890991780 2² × 3 × 5 × 7 × 769 × 1087 × 667903	2013-12-08	1087	667903	105.45	0.1451	0.2635

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-12-08T04:06:00	Jwb52z	Clay	750000	750000			32482532468448662230681	23	74.782	2.908	370.4	5.815	2.526%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-10-22T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁴		-	-	3.46483e-5	-	-
2000-10-28T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-06-03T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2003-11-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.009	-	-
2005-01-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.023	-	-
Missing TF 63 - 64
Missing TF 64 - 65
2008-06-13T00:36:00	Sturle Sunde	graun.ifi	2⁶⁵	2⁶⁶		-	-	0.108	-	-
2010-02-08T01:59:00	Taxythingy	Haihappen	2⁶⁶	2⁶⁷		-	-	0.216	-	-
2010-04-13T06:44:00	SiCPU87	IE5200-Dual	2⁶⁷	2⁶⁸		-	-	0.432	-	-
2010-04-15T21:50:00	SiCPU87	IE5200-Dual	2⁶⁸	2⁶⁹		-	-	0.863	-	-
2012-06-29T11:35:00	ANONYMOUS	leyla	2⁶⁹	2⁷⁰		-	-	1.726	-	-
2012-10-01T05:52:00	[DPC] hansR	Manual testing	2⁷⁰	2⁷¹		-	-	3.452	-	-

ECM factoring results:
No ECM results for M69263003

Lucas-Lehmer results:
No L-L results for M69263003

PRP results:
No PRP results for M69263003

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 = 750000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶³

2⁶²

2⁵⁷

2⁵⁶

2⁵⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2013-12-08T04:06:30+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