M27369257 Mersenne number exponent details

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is 2 ^27369257 - 1

has 8238968 decimal digits

takes 25.336 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, 63.4 bits, 0.00023165% 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
27369257	12183943737502534073	20	63.402	222584481148 2² × 19 × 773 × 1409 × 2689	2004-11-30	1409	2689	0.0671	0.0020	0.0038

P-1 results:
No P-1 results for M27369257

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-11-30T00:00:00	ANONYMOUS	v4_computers	?	?	12183943737502534073	63.402	20	0.009	52.04	0.018
2001-08-24T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2004-04-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.011	-	-
2004-08-20T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.022	-	-

ECM factoring results:
No ECM results for M27369257

Lucas-Lehmer results:
No L-L results for M27369257

PRP results:
No PRP results for M27369257

P-1 factor-bounds graph:

10²

10³

10⁴

10²

10³

10⁴

TF factor-bounds graph:

2⁶⁷

2⁶²

2⁶¹

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2004-11-30T00:00:00+00:00