M72 051 011 Mersenne number exponent details

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is 2 ^72051011 - 1

has 21689516 decimal digits

takes 192.636 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 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
Actual	2⁷⁴	53.0994	63.5135%	-	-	-	-	53.0994	63.5135%
Target	2⁷⁴	53.0994	63.5135%	500000	17000000	5.4234	4.1179%	58.5228	65.0160%
Difference	-	-	-	-500000	-17000000	-5.4234	-4.1179%	-5.4234	-1.5025%

Known prime factors (2 factors, 205.0 bits, 0.00028453% 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
72051011	29334553808233406148946116929	29	94.567	203567954155656512224 2⁵ × 11 × 139 × 51817 × 143141 × 560939	2014-08-25	143141	560939	77,423,573	0.6432	1.1294
72051011	1762344594666445214938228438185481	34	110.441	12229839458230816601159340 2² × 3 × 5 × 43 × 83 × 401 × 409 × 10429 × 62081 × 537841	2014-08-25	62081	537841	1.851e+9	0.3412	0.4898

1 Composite Factors:

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2014-08-25	Patrik Johansson	theta					29334553808233406148946116929 1762344594666445214938228438185481	62	205.008	-	385.3	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-19	Wojciech Florek	Manual testing	2¹	2⁶⁴		-	-	0.049	-	-
2011-02-06	Rob_Dee	twopc	2⁶⁴	2⁶⁵		-	-	0.052	-	-
2011-03-28	eon_blue_apocalypse	con-cloud0-cn0	2⁶⁵	2⁶⁶		-	-	0.104	-	-
2011-04-04	Carsten Kossendey	Manual testing	2⁶⁶	2⁶⁷		-	-	0.207	-	-
2011-04-04	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.415	-	-
2011-04-26	tsc	v4_computers	2¹	2⁷⁰		-	-	3.316	-	-
2011-09-22	tsc	v4_computers	2¹	2⁷⁰		-	-	3.316	-	-
2013-04-13	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	3.319	-	-
2014-07-02	NickOfTime	Manual testing	2⁷¹	2⁷²		-	-	6.638	-	-
2014-07-02	NickOfTime	Manual testing	2⁷²	2⁷³		-	-	13.28	-	-
2014-07-02	NickOfTime	Manual testing	2⁷³	2⁷⁴		-	-	26.55	-	-

ECM factoring results:
No ECM results for M72051011

Lucas-Lehmer results:
No L-L results for M72051011

PRP results:
No PRP results for M72051011

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

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 74

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

Last modified: 2023-04-26T21:34:10+00:00