M697832081 Mersenne number exponent details

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is 2 ^697832081 - 1

has 210068389 decimal digits

takes 22,623.005 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, 69.0 bits, 0.00000988% 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
697832081	581172889284212882737	21	68.978	416413135128 2³ × 3 × 101 × 109 × 1576033	2017-06-16	109	1576033	0.1052	4.0412	7.5388

P-1 results:
No P-1 results for M697832081

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-03-17T00:00:00	linded	v4_computers	2⁶¹	2⁶²		-	-	0.000	-	-
2010-07-18T12:20:00	Architects Cubed	m1_54	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T11:30:00	lalera	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-24T10:34:00	sasaki	Manual testing	2⁶⁵	2⁶⁶		-	-	0.011	-	-
2014-09-17T09:25:00	sasaki	Manual testing	2⁶⁶	2⁶⁸		-	-	0.064	-	-
2022-08-10T19:30:09	LordJulius	Manual testing	2¹	2⁶⁸		-	-	0.085	-	-
2017-06-16T20:58:05	Conductor	Manual testing	2⁶⁸	2⁶⁹	581172889284212882737	68.978	21	0.020	46,360	0.041

ECM factoring results:
No ECM results for M697832081

Lucas-Lehmer results:
No L-L results for M697832081

PRP results:
No PRP results for M697832081

P-1 factor-bounds graph:

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:30:09+00:00