M697654337 Mersenne number exponent details

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M697654337

<<<

is 2 ^697654337 - 1

has 210014883 decimal digits

takes 22,617.243 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	2⁶⁸	0.0854	55.8824%	-	-	-	-	0.0854	55.8824%	0.0000%
PrimeNet	2⁸⁰	350.9855	62.5000%	2600000	180000000	576.5586	5.6317%	927.5441	64.6119%	2.1119%
GPU72	2⁸⁴	5,615.7719	64.2857%	4000000	180000000	638.7836	4.2186%	6,254.5555	65.7924%	1.5066%
Difference	-16	-5,615.6865	-8.4034%	-4000000	-180000000	-638.7836	-4.2186%	-6,254.4701	-9.9100%	-9.9100%

Known prime factors (2 factors, 130.9 bits, 0.00001876% 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
697654337	35942541517935877751	20	64.962	25759562875 5³ × 206076503	2012-01-25	125	206076503	0.0102	527.79	985.75
697654337	70138187960701759783	20	65.927	50267148243 3 × 13² × 99146249	2019-07-18	169	99146249	0.0117	253.93	474.26

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
697654337	35942541517935877751 70138187960701759783	2520944732770313335063315250138456288033	40	130.889

P-1 results:
No P-1 results for M697654337

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2012-01-25T11:36:00	lalera	Manual testing	?	?	35942541517935877751	64.962	20	0.005	46,349	0.011
2010-03-17T00:00:00	linded	v4_computers	2⁶¹	2⁶²		-	-	0.000	-	-
2010-07-14T16:50:00	Architects Cubed	m1_05	2⁶³	2⁶⁴		-	-	0.003	-	-
2022-03-13T11:21:20	James Heinrich	Manual testing	2⁶⁴	2⁶⁵	35942541517935877751	64.962	20	0.005	46,349	0.011
2019-07-18T07:13:41	TJAOI	Manual testing	2⁶⁵	2⁶⁶*	70138187960701759783	65.927	20	0.001	46,349	0.003
2022-08-10T19:29:55	LordJulius	Manual testing	2¹	2⁶⁸	35942541517935877751	64.962	20	0.010	46,349	0.021
2022-08-10T19:29:55	LordJulius	Manual testing	2¹	2⁶⁸	70138187960701759783	65.927	20	0.012	46,349	0.024

ECM factoring results:
No ECM results for M697654337

Lucas-Lehmer results:
No L-L results for M697654337

PRP results:
No PRP results for M697654337

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:

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:55+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