M697858747 Mersenne number exponent details

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is 2 ^697858747 - 1

has 210076416 decimal digits

takes 22,623.870 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, 71.8 bits, 0.00001029% 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
697858747	4152490991250880852489	22	71.814	2975165826252 2² × 3 × 23 × 37 × 59 × 233 × 21193	2020-09-28	233	21193	0.7313	0.0646	0.1014

P-1 results:
No P-1 results for M697858747

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_12	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T11:31:00	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	-	-
2022-08-10T19:30:11	LordJulius	Manual testing	2¹	2⁶⁸		-	-	0.085	-	-
2017-06-16T20:58:17	Conductor	Manual testing	2⁶⁸	2⁶⁹		-	-	0.086	-	-
2018-09-21T21:39:06	srow7	Manual testing	2⁶⁹	2⁷⁰		-	-	0.171	-	-
2018-11-29T16:45:09	Niels_Mache_Nextcloud	Manual testing	2⁷⁰	2⁷¹		-	-	0.343	-	-
2020-09-28T16:27:54	SRBase	Manual testing	2⁷¹	2⁷²*	4152490991250880852489	71.814	22	0.046	46,361	0.095

ECM factoring results:
No ECM results for M697858747

Lucas-Lehmer results:
No L-L results for M697858747

PRP results:
No PRP results for M697858747

P-1 factor-bounds graph:

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:30:11+00:00