M697861859 Mersenne number exponent details

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is 2 ^697861859 - 1

has 210077353 decimal digits

takes 22,623.971 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, 68.5 bits, 0.00000981% 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
697861859	404689000460911731689	21	68.455	289949217916 2² × 17 × 59 × 127 × 239 × 2381	2017-06-16	239	2381	0.1691	0.0167	0.0229

P-1 results:
No P-1 results for M697861859

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-01-04T00:00:00	linded	v4_computers	2⁶¹	2⁶²		-	-	0.000	-	-
2010-07-18T12:51:00	Architects Cubed	m1_73	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T14:32:00	ANONYMOUS	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2012-01-26T12:02:00	lalera	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-24T10:35:00	sasaki	Manual testing	2⁶⁵	2⁶⁶		-	-	0.011	-	-
2014-09-17T09:26:00	sasaki	Manual testing	2⁶⁶	2⁶⁸		-	-	0.064	-	-
2017-06-17T00:28:35	Conductor	Manual testing	2⁶⁸	2⁶⁹	404689000460911731689	68.455	21	0.084	46,362	0.172
2022-08-12T16:27:02	LordJulius	Manual testing	2¹	2⁷⁰	404689000460911731689	68.455	21	0.169	46,362	0.347
2022-08-12T16:27:02	LordJulius	Manual testing	2⁷⁰	2⁷¹		-	-	0.343	-	-
2022-08-12T16:27:02	LordJulius	Manual testing	2⁷¹	2⁷²		-	-	0.685	-	-
2022-08-12T16:27:02	LordJulius	Manual testing	2⁷²	2⁷³		-	-	1.371	-	-

ECM factoring results:
No ECM results for M697861859

Lucas-Lehmer results:
No L-L results for M697861859

PRP results:
No PRP results for M697861859

P-1 factor-bounds graph:

10¹

10²

10³

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-12T16:27:02+00:00