M697910669 Mersenne number exponent details

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M697910669

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is 2 ^697910669 - 1

has 210092046 decimal digits

takes 22,625.553 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	2⁷³	2.7408	58.9041%	-	-	-	-	2.7408	58.9041%	0.0000%
PrimeNet	2⁸⁰	350.8566	62.5000%	2600000	180000000	576.5586	5.6319%	927.4152	64.6120%	2.1120%
GPU72	2⁸⁴	5,613.7093	64.2857%	4000000	180000000	638.7836	4.2188%	6,252.4929	65.7924%	1.5067%
Difference	-11	-5,610.9685	-5.3816%	-4000000	-180000000	-638.7836	-4.2188%	-6,249.7521	-6.8883%	-6.8883%

Known prime factors (2 factors, 138.1 bits, 0.00001979% 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
697910669	164682807023140101863	21	67.158	117982726399 97 × 1216316767	2014-09-17	97	1216316767	0.0711	3,115.1	5,818.2
697910669	2328092232023372322097	22	70.980	1667901305592 2³ × 3² × 38923 × 595157	2022-08-13	38923	595157	0.5524	3.2542	3.7237

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
697910669	164682807023140101863 2328092232023372322097	383396763778376535004521952409099425766711	42	138.138

P-1 results:
No P-1 results for M697910669

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	-	-
2010-07-18T13:41:00	Architects Cubed	m1_60	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T15:56:00	lalera	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-13T23:21:00	sasaki	Manual testing	2⁶⁵	2⁶⁶		-	-	0.011	-	-
2014-09-17T09:26:00	sasaki	Manual testing	2⁶⁶	2⁶⁸	164682807023140101863	67.158	21	0.050	46,365	0.102
2022-08-13T01:07:43	LordJulius	Manual testing	2¹	2⁷⁰	164682807023140101863	67.158	21	0.071	46,365	0.146
2022-08-13T01:07:43	LordJulius	Manual testing	2⁷⁰	2⁷¹	2328092232023372322097	70.980	22	0.210	46,365	0.430
2022-08-13T01:07:44	LordJulius	Manual testing	2⁷¹	2⁷²		-	-	0.685	-	-
2022-08-13T01:07:44	LordJulius	Manual testing	2⁷²	2⁷³		-	-	1.371	-	-

ECM factoring results:
No ECM results for M697910669

Lucas-Lehmer results:
No L-L results for M697910669

PRP results:
No PRP results for M697910669

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

10⁰

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10²

10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-13T01:07:44+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