M23516093 Mersenne number exponent details

≡

is 2 ^23516093 - 1

has 7079050 decimal digits

takes 19.074 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, 79.1 bits, 0.00033636% 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
23516093	647437155396865844483359	24	79.099	13765831666783803 3³ × 17 × 71 × 79 × 883 × 1151 × 5261	2004-08-20	1151	5261	8,320.0	0.0016	0.0028

P-1 results:
No P-1 results for M23516093

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-08-20T00:00:00	ANONYMOUS	v4_computers	?	?	647437155396865844483359	79.099	24	3,114	38.82	6,337
2001-09-10T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2003-07-13T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.007	-	-
2003-10-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁷		-	-	1.264	-	-

ECM factoring results:
No ECM results for M23516093

Lucas-Lehmer results:
No L-L results for M23516093

PRP results:
No PRP results for M23516093

P-1 factor-bounds graph:

10²

10³

10⁴

10²

10³

10⁴

TF factor-bounds graph:

2⁶⁷

2⁶⁰

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2004-08-20T00:00:00+00:00