M697767731 Mersenne number exponent details

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is 2 ^697767731 - 1

has 210049018 decimal digits

takes 22,620.919 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, 70.4 bits, 0.00001008% 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
697767731	1507279872065219697689	22	70.352	1080072784324 2² × 44543 × 6061967	2018-11-29	44543	6061967	0.6676	17.505	28.997

P-1 results:
No P-1 results for M697767731

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	-	-
2010-06-26T23:40:00	Architects Cubed	m1_02	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T14:30:00	ANONYMOUS	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2012-01-26T11:57:00	lalera	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-23T03:14:00	sasaki	Manual testing	2⁶⁵	2⁶⁶		-	-	0.011	-	-
2014-09-15T13:27:00	sasaki	Manual testing	2⁶⁶	2⁶⁸		-	-	0.064	-	-
2022-08-10T19:30:03	LordJulius	Manual testing	2¹	2⁶⁸		-	-	0.085	-	-
2017-06-16T15:01:23	Conductor	Manual testing	2⁶⁸	2⁶⁹		-	-	0.086	-	-
2018-09-21T21:37:41	srow7	Manual testing	2⁶⁹	2⁷⁰		-	-	0.171	-	-
2018-11-29T17:14:35	Niels_Mache_Nextcloud	Manual testing	2⁷⁰	2⁷¹	1507279872065219697689	70.352	22	0.325	46,356	0.666

ECM factoring results:
No ECM results for M697767731

Lucas-Lehmer results:
No L-L results for M697767731

PRP results:
No PRP results for M697767731

P-1 factor-bounds graph:

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:30:03+00:00