M697745857 Mersenne number exponent details

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M697745857

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is 2 ^697745857 - 1

has 210042433 decimal digits

takes 22,620.210 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	350.9395	62.5000%	2600000	180000000	576.5586	5.6318%	927.4981	64.6119%	2.1119%
GPU72	2⁸⁴	5,615.0353	64.2857%	4000000	180000000	638.7836	4.2186%	6,253.8189	65.7924%	1.5067%
Difference	-16	-5,614.9499	-8.4034%	-4000000	-180000000	-638.7836	-4.2186%	-6,253.7335	-9.9100%	-9.9100%

Known prime factors (2 factors, 134.2 bits, 0.00001924% 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
697745857	147699675744321478649	21	67.001	105840596732 2² × 13 × 89 × 22869619	2014-09-15	89	22869619	0.0457	58.575	109.40
697745857	173167117775044422049	21	67.231	124090394832 2⁴ × 3² × 861738853	2014-09-15	16	861738853	0.0777	2,207.0	4,122.1

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
697745857	147699675744321478649 173167117775044422049	25576727144952789402906729246171298331801	41	134.232

P-1 results:
No P-1 results for M697745857

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-01-04T00:00:00	linded	v4_computers	2⁶¹	2⁶²		-	-	0.000	-	-
2010-07-18T10:30:00	Architects Cubed	m1_56	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T11:37:00	lalera	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-23T03:13:00	sasaki	Manual testing	2⁶⁵	2⁶⁶		-	-	0.011	-	-
2014-09-15T13:27:00	sasaki	Manual testing	2⁶⁶	2⁶⁸	147699675744321478649	67.001	21	0.024	46,355	0.050
2014-09-15T13:27:00	sasaki	Manual testing	2⁶⁶	2⁶⁸	173167117775044422049	67.231	21	0.057	46,355	0.116
2022-08-10T19:30:01	LordJulius	Manual testing	2¹	2⁶⁸	147699675744321478649	67.001	21	0.046	46,355	0.094
2022-08-10T19:30:01	LordJulius	Manual testing	2¹	2⁶⁸	173167117775044422049	67.231	21	0.078	46,355	0.159

ECM factoring results:
No ECM results for M697745857

Lucas-Lehmer results:
No L-L results for M697745857

PRP results:
No PRP results for M697745857

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

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:30:01+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