M697895053 Mersenne number exponent details

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is 2 ^697895053 - 1

has 210087345 decimal digits

takes 22,625.047 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, 67.9 bits, 0.00000973% 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
697895053	276769655153289992377	21	67.907	198288878796 2² × 3³ × 21149 × 86813	2014-12-07	21149	86813	0.0741	1.1623	2.0233

P-1 results:
No P-1 results for M697895053

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	-	-
2010-07-18T13:30:00	Architects Cubed	m1_01	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T14:36:00	ANONYMOUS	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-24T10:36:00	sasaki	Manual testing	2⁶⁵	2⁶⁶		-	-	0.011	-	-
2013-12-04T10:00:00	sasaki	Manual testing	2⁶⁶	2⁶⁷		-	-	0.021	-	-
2014-12-07T00:30:00	sasaki	Manual testing	2⁶⁷	2⁶⁸	276769655153289992377	67.907	21	0.031	46,364	0.065
2022-08-12T16:27:11	LordJulius	Manual testing	2¹	2⁷⁰	276769655153289992377	67.907	21	0.074	46,364	0.152
2022-08-12T16:27:11	LordJulius	Manual testing	2⁷⁰	2⁷¹		-	-	0.343	-	-
2022-08-12T16:27:11	LordJulius	Manual testing	2⁷¹	2⁷²		-	-	0.685	-	-
2022-08-12T16:27:11	LordJulius	Manual testing	2⁷²	2⁷³		-	-	1.371	-	-

ECM factoring results:
No ECM results for M697895053

Lucas-Lehmer results:
No L-L results for M697895053

PRP results:
No PRP results for M697895053

P-1 factor-bounds graph:

10³

10⁴

10⁵

10³

10⁴

10⁵

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-12T16:27:11+00:00