M697890101 Mersenne number exponent details

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M697890101

<<<

is 2 ^697890101 - 1

has 210085855 decimal digits

takes 22,624.886 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-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷¹	0.6850	57.7465%	-	-	-	-	0.6850	57.7465%	0.0000%
PrimeNet	2⁸⁰	350.8669	62.5000%	2600000	180000000	576.5586	5.6319%	927.4256	64.6120%	2.1120%
GPU72	2⁸⁴	5,613.8747	64.2857%	4000000	180000000	638.7836	4.2187%	6,252.6584	65.7924%	1.5067%
Difference	-13	-5,613.1897	-6.5392%	-4000000	-180000000	-638.7836	-4.2187%	-6,251.9733	-8.0459%	-8.0459%

Known prime factors (1 factor, 70.0 bits, 0.00001003% 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
697890101	1187094483811073421359	22	70.008	850488122779 43 × 1367 × 14468759	2018-11-29	1367	14468759	0.4328	37.117	69.210

P-1 results:
No P-1 results for M697890101

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	-	-
Missing TF 62 - 63
2010-06-22T22:50:00	Architects Cubed	m1_54	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T14:34:00	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	-	-
2013-12-04T10:00:00	sasaki	Manual testing	2⁶⁶	2⁶⁷		-	-	0.021	-	-
2014-12-07T00:30:00	sasaki	Manual testing	2⁶⁷	2⁶⁸		-	-	0.043	-	-
2017-06-17T00:28:48	Conductor	Manual testing	2⁶⁸	2⁶⁹		-	-	0.086	-	-
2018-09-22T22:16:59	srow7	Manual testing	2⁶⁹	2⁷⁰		-	-	0.171	-	-
2018-11-29T17:14:53	Niels_Mache_Nextcloud	Manual testing	2⁷⁰	2⁷¹	1187094483811073421359	70.008	22	0.090	46,363	0.185

ECM factoring results:
No ECM results for M697890101

Lucas-Lehmer results:
No L-L results for M697890101

PRP results:
No PRP results for M697890101

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

10²

10³

10⁴

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-11-29T17:14:53+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront