M697719689 Mersenne number exponent details

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M697719689

<<<

is 2 ^697719689 - 1

has 210034555 decimal digits

takes 22,619.362 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	350.9526	62.5000%	2600000	180000000	576.5586	5.6317%	927.5112	64.6119%	2.1119%
GPU72	2⁸⁴	5,615.2459	64.2857%	4000000	180000000	638.7836	4.2186%	6,254.0295	65.7924%	1.5067%
Difference	-16	-5,615.1605	-8.4034%	-4000000	-180000000	-638.7836	-4.2186%	-6,253.9441	-9.9100%	-9.9100%

Known prime factors (2 factors, 129.9 bits, 0.00001862% 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
697719689	11849669695180964951	20	63.361	8491712275 5² × 19 × 17877289	2010-07-18	25	17877289	0.0050	45.787	85.515
697719689	107692234427131678537	21	66.545	77174427012 2² × 3 × 19 × 338484329	2020-05-19	19	338484329	0.0304	866.89	1,619.1

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
697719689	11849669695180964951 107692234427131678537	1276117406697506456860557233491995956687	40	129.907

P-1 results:
No P-1 results for M697719689

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-07-18T09:50:00	Architects Cubed	m1_47	?	?	11849669695180964951	63.361	20	0.003	46,353	0.006
2010-03-17T00:00:00	linded	v4_computers	2⁶¹	2⁶²		-	-	0.000	-	-
2020-05-19T10:09:46	TJAOI	Manual testing	2⁶⁶	2⁶⁷*	107692234427131678537	66.545	21	0.009	46,353	0.019
2022-08-10T19:29:59	LordJulius	Manual testing	2¹	2⁶⁸	107692234427131678537	66.545	21	0.030	46,353	0.062
2022-08-10T19:29:59	LordJulius	Manual testing	2¹	2⁶⁸	11849669695180964951	63.361	20	0.005	46,353	0.010

ECM factoring results:
No ECM results for M697719689

Lucas-Lehmer results:
No L-L results for M697719689

PRP results:
No PRP results for M697719689

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

10¹

10²

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:59+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