M78208153 Mersenne number exponent details

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is 2 ^78208153 - 1

has 23543000 decimal digits

takes 244.047 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-

Known prime factors (1 factor, 64.2 bits, 0.00008214% 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
78208153	21841352614480339783	20	64.244	139636033947 3³ × 269 × 3769 × 5101	2010-12-22	3769	5101	0.0824	0.0174	0.0347

P-1 results:
No P-1 results for M78208153

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-12-22T16:10:00	ANONYMOUS		?	?	21841352614480339783	64.244	20	0.037	502.6	0.076
2004-03-16T00:00:00	AxelFox	v4_computers	2¹	2⁶²		-	-	0.008	-	-
2008-05-21T00:00:00	1997rj7	v4_computers	2¹	2⁶⁴		-	-	0.046	-	-

ECM factoring results:
No ECM results for M78208153

Lucas-Lehmer results:
No L-L results for M78208153

PRP results:
No PRP results for M78208153

P-1 factor-bounds graph:

10²

10³

10⁴

10²

10³

10⁴

TF factor-bounds graph:

2⁶⁷

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2010-12-22T16:10:06+00:00