M697642027 Mersenne number exponent details

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M697642027

<<<

is 2 ^697642027 - 1

has 210011177 decimal digits

takes 22,616.844 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	350.9917	62.5000%	2600000	180000000	576.5586	5.6317%	927.5503	64.6119%	2.1119%
GPU72	2⁸⁴	5,615.8710	64.2857%	4000000	180000000	638.7836	4.2186%	6,254.6546	65.7923%	1.5066%
Difference	-16	-5,615.7855	-8.4034%	-4000000	-180000000	-638.7836	-4.2186%	-6,254.5692	-9.9100%	-9.9100%

Known prime factors (2 factors, 132.1 bits, 0.00001893% 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
697642027	52510937932588968047	20	65.509	37634586149 37 × 1017150977	2013-11-10	37	1017150977	0.0139	2,605.0	4,865.5
697642027	109538655770069330369	21	66.570	78506348192 2⁵ × 2453323381	2020-05-28	32	2453323381	0.0224	6,283.2	11,735

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
697642027	52510937932588968047 109538655770069330369	5751977554361339038503264671470027719343	40	132.079

P-1 results:
No P-1 results for M697642027

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	-	-
2010-06-25T10:50:00	Architects Cubed	m1_36	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T11:34:00	lalera	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-10T20:12:00	sasaki	Manual testing	2⁶⁵	2⁶⁶	52510937932588968047	65.509	20	0.003	46,348	0.007
2020-05-28T11:41:57	TJAOI	Manual testing	2⁶⁶	2⁶⁷*	109538655770069330369	66.570	21	0.001	46,348	0.003
2022-08-10T19:29:53	LordJulius	Manual testing	2¹	2⁶⁸	109538655770069330369	66.570	21	0.022	46,348	0.046
2022-08-10T19:29:53	LordJulius	Manual testing	2¹	2⁶⁸	52510937932588968047	65.509	20	0.014	46,348	0.028

ECM factoring results:
No ECM results for M697642027

Lucas-Lehmer results:
No L-L results for M697642027

PRP results:
No PRP results for M697642027

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

10¹⁰

TF factor-bounds graph:

2⁶⁸

2⁶⁷

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