M71 099 111 Mersenne number exponent details

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is 2 ^71099111 - 1

has 21402966 decimal digits

takes 190.091 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	53.8103	63.5135%	-	-	-	-	53.8103	63.5135%
Target	2⁷⁴	53.8103	63.5135%	500000	16000000	5.2122	4.0641%	59.0225	64.9964%
Difference	-	-	-	-500000	-16000000	-5.2122	-4.0641%	-5.2122	-1.4828%

Known prime factors (2 factors, 200.1 bits, 0.00028150% 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
71099111	22117568625033508397630264927	29	94.159	155540402080649843833 389 × 467 × 2539 × 154321 × 2185189	2014-08-09	154321	2185189	102,020,176	1.0272	1.2176
71099111	80285076288580567402215195928903	32	105.985	564599719738975128691941 3² × 29 × 59 × 67 × 107 × 197 × 857 × 6569 × 4611511	2014-08-09	6569	4611511	1.880e+9	0.9981	1.8192

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
2014-08-09	fireredd	ont111					22117568625033508397630264927 80285076288580567402215195928903	61	200.144	-	380.2	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-10-19	Wojciech Florek	Manual testing	2¹	2⁶⁴		-	-	0.050	-	-
2010-03-07	Sturle Sunde	korsmo.ifi	2⁶⁴	2⁶⁵		-	-	0.053	-	-
2010-03-12	arnaud	SRV-330	2⁶⁵	2⁶⁶		-	-	0.105	-	-
2010-09-09	GrunwalderGIMP	compute-0-1	2⁶⁶	2⁶⁷		-	-	0.210	-	-
2010-09-23	charger	FH526.3000.01	2⁶⁷	2⁶⁸		-	-	0.420	-	-
2010-10-04	charger	FH526.3000.01	2⁶⁸	2⁶⁹		-	-	0.841	-	-
2013-05-11	SMoffat	Manual testing	2⁶⁹	2⁷⁰		-	-	1.682	-	-
2013-07-24	willmore	Manual testing	2⁷⁰	2⁷¹		-	-	3.363	-	-
2014-05-28	Chuck	Manual testing	2⁷¹	2⁷²		-	-	6.727	-	-
2014-05-28	Chuck	Manual testing	2⁷²	2⁷³		-	-	13.45	-	-
2014-05-29	Chuck	Manual testing	2⁷³	2⁷⁴		-	-	26.91	-	-

ECM factoring results:
No ECM results for M71099111

Lucas-Lehmer results:
No L-L results for M71099111

PRP results:
No PRP results for M71099111

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

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 74

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

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