M697635683 Mersenne number exponent details

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M697635683

<<<

is 2 ^697635683 - 1

has 210009267 decimal digits

takes 22,616.638 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	2⁶⁹	0.1711	56.5217%	-	-	-	-	0.1711	56.5217%	0.0000%
PrimeNet	2⁸⁰	350.9949	62.5000%	2600000	180000000	576.5586	5.6317%	927.5535	64.6119%	2.1119%
GPU72	2⁸⁴	5,615.9221	64.2857%	4000000	180000000	638.7836	4.2186%	6,254.7057	65.7923%	1.5066%
Difference	-15	-5,615.7509	-7.7640%	-4000000	-180000000	-638.7836	-4.2186%	-6,254.5345	-9.2706%	-9.2706%

Known prime factors (1 factor, 68.6 bits, 0.00000983% 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
697635683	438847350800841529193	21	68.572	314524730812 2² × 263 × 298977881	2017-06-15	263	298977881	0.0909	765.72	1,430.1

P-1 results:
No P-1 results for M697635683

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	-	-
2010-07-18T07:30:00	Architects Cubed	m1_37	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T11:33:00	lalera	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-10T20:11:00	sasaki	Manual testing	2⁶⁵	2⁶⁶		-	-	0.011	-	-
2014-09-15T13:26:00	sasaki	Manual testing	2⁶⁶	2⁶⁸		-	-	0.064	-	-
2022-08-10T19:29:53	LordJulius	Manual testing	2¹	2⁶⁸		-	-	0.085	-	-
2017-06-15T20:07:54	Conductor	Manual testing	2⁶⁸	2⁶⁹	438847350800841529193	68.572	21	0.005	46,348	0.011

ECM factoring results:
No ECM results for M697635683

Lucas-Lehmer results:
No L-L results for M697635683

PRP results:
No PRP results for M697635683

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

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:53+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