M50146939 Mersenne number exponent details

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is 2 ^50146939 - 1

has 15095733 decimal digits

takes 91.866 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	2⁶³	0.0318	58.7302%	-	-	-	-	0.0318	58.7302%	-3.5887%
PrimeNet	2⁶⁹	2.3807	62.3188%	220000	9000000	1.8551	5.1337%	4.2358	67.4525%	5.1337%
GPU72	2⁷³	38.1448	64.3836%	340000	11000000	2.4459	3.7875%	40.5907	68.1711%	3.7875%
Difference	-10	-38.1130	-5.6534%	-340000	-11000000	-2.4459	-3.7875%	-40.5589	-9.4409%	-9.4409%

Known prime factors (1 factor, 94.1 bits, 0.00018755% 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
50146939	20530069260305108163967437833	29	94.052	204699126902891402444 2² × 13 × 41 × 251 × 23887 × 109609 × 146099	109609	146099	2011-03-24	108,817,691	0.2964	0.5926

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-03-24T06:36:00	Ge yong	Sheng_Shi_3					20530069260305108163967437833	29	94.052	-	183.7	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-10-07T00:00:00	ANONYMOUS	v4_computers	?	2⁵³		-	-	2.39281e-5	-	-
2000-01-04T00:00:00	ANONYMOUS	v4_computers	?	2⁵³		-	-	2.39281e-5	-	-
2000-02-09T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁴		-	-	4.78563e-5	-	-
2000-04-05T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁶		-	-	0.000	-	-
2001-03-25T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁷		-	-	0.000	-	-
2001-12-08T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁸		-	-	0.001	-	-
2003-11-08T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁰		-	-	0.002	-	-
2004-03-01T00:00:00	ANONYMOUS	v4_computers	?	2⁶¹		-	-	0.003	-	-
2008-09-23T00:00:00	Matthias Wurtinger	v4_computers	?	2⁶⁹		-	-	1.192	-	-

ECM factoring results:
Exponent "50146939" not found

Lucas-Lehmer results:
Exponent "50146939" not found

PRP results:
Exponent "50146939" 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

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶⁹

2⁶³

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁷

2⁵⁶

2⁵⁴

2⁵³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2011-03-24T06:36:33+00:00