M697886681 Mersenne number exponent details

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is 2 ^697886681 - 1

has 210084825 decimal digits

takes 22,624.775 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, 67.7 bits, 0.00000970% 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
697886681	236978647661163530537	21	67.683	169783042228 2² × 107 × 163 × 997 × 2441	2014-09-17	997	2441	0.0528	0.0506	0.0954

P-1 results:
No P-1 results for M697886681

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	-	-
2010-07-18T13:20:00	Architects Cubed	m1_55	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T14:33:00	ANONYMOUS	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2012-01-26T14:40:00	lalera	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-24T10:36:00	sasaki	Manual testing	2⁶⁵	2⁶⁶		-	-	0.011	-	-
2014-09-17T09:26:00	sasaki	Manual testing	2⁶⁶	2⁶⁸	236978647661163530537	67.683	21	0.032	46,364	0.065
2022-08-12T16:27:09	LordJulius	Manual testing	2¹	2⁷⁰	236978647661163530537	67.683	21	0.053	46,364	0.108
2022-08-12T16:27:09	LordJulius	Manual testing	2⁷⁰	2⁷¹		-	-	0.343	-	-
2022-08-12T16:27:09	LordJulius	Manual testing	2⁷¹	2⁷²		-	-	0.685	-	-
2022-08-12T16:27:09	LordJulius	Manual testing	2⁷²	2⁷³		-	-	1.371	-	-

ECM factoring results:
No ECM results for M697886681

Lucas-Lehmer results:
No L-L results for M697886681

PRP results:
No PRP results for M697886681

P-1 factor-bounds graph:

10¹

10²

10³

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-12T16:27:09+00:00