M44080447 Mersenne number exponent details

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is 2 ^44080447 - 1

has 13269537 decimal digits

takes 67.284 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	0.0362	58.7302%	-	-	-	-	0.0362	58.7302%	-3.0345%
PrimeNet	2⁶⁸	1.3522	61.7647%	200000	8000000	1.3832	5.3958%	2.7354	67.1605%	5.3958%
GPU72	2⁷²	21.6952	63.8889%	300000	10000000	1.8337	3.9741%	23.5288	67.8630%	3.9741%
Difference	-9	-21.6590	-5.1587%	-300000	-10000000	-1.8337	-3.9741%	-23.4926	-9.1329%	-9.1329%

Known prime factors (1 factor, 78.7 bits, 0.00017844% 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
44080447	476490884801412533589479	24	78.657	5404787351650637 8377 × 47459 × 13594759	47459	13594759	2010-09-22	1,628.3	1.7386	3.0618

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2010-09-22T15:32:00	Ge yong	Sheng_Shi_3					476490884801412533589479	24	78.657	-	134.6	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2007-09-28T00:00:00	ComputerraRU	v4_computers	?	2⁶⁸		-	-	0.678	-	-

ECM factoring results:
Exponent "44080447" not found

Lucas-Lehmer results:
Exponent "44080447" not found

PRP results:
Exponent "44080447" 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

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁸

2⁶³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2010-09-22T15:32:48+00:00