M697677061 Mersenne number exponent details

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M697677061

<<<

is 2 ^697677061 - 1

has 210021723 decimal digits

takes 22,617.980 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	350.9741	62.5000%	2600000	180000000	576.5586	5.6317%	927.5327	64.6119%	2.1119%
GPU72	2⁸⁴	5,615.5890	64.2857%	4000000	180000000	638.7836	4.2186%	6,254.3726	65.7924%	1.5066%
Difference	-16	-5,615.5035	-8.4034%	-4000000	-180000000	-638.7836	-4.2186%	-6,254.2872	-9.9100%	-9.9100%

Known prime factors (2 factors, 131.4 bits, 0.00001883% 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
697677061	49052566637040932039	20	65.411	35154206279 17 × 7607 × 271841	2013-11-12	7607	271841	0.0164	1.0343	1.3003
697677061	71869437131763925897	20	65.962	51506234868 2² × 3 × 11 × 23 × 16965163	2013-11-12	23	16965163	0.0178	43.450	81.152

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
697677061	49052566637040932039 71869437131763925897	3525380354072473887018907907542609113983	40	131.373

P-1 results:
No P-1 results for M697677061

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	-	-
2010-07-18T09:21:00	Architects Cubed	m1_37	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T14:28:00	ANONYMOUS	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2012-01-26T12:08:00	lalera	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-12T09:52:00	sasaki	Manual testing	2⁶⁵	2⁶⁶	49052566637040932039	65.411	20	0.006	46,350	0.012
2013-11-12T09:52:00	sasaki	Manual testing	2⁶⁵	2⁶⁶	71869437131763925897	65.962	20	0.007	46,350	0.015
2022-08-10T19:29:56	LordJulius	Manual testing	2¹	2⁶⁸	49052566637040932039	65.411	20	0.016	46,350	0.034
2022-08-10T19:29:56	LordJulius	Manual testing	2¹	2⁶⁸	71869437131763925897	65.962	20	0.018	46,350	0.036

ECM factoring results:
No ECM results for M697677061

Lucas-Lehmer results:
No L-L results for M697677061

PRP results:
No PRP results for M697677061

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

10³

10⁴

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:56+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