M697872517 Mersenne number exponent details

≡

M697872517

<<<

is 2 ^697872517 - 1

has 210080561 decimal digits

takes 22,624.316 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	2⁷³	2.7410	58.9041%	-	-	-	-	2.7410	58.9041%	0.0000%
PrimeNet	2⁸⁰	350.8758	62.5000%	2600000	180000000	576.5586	5.6319%	927.4344	64.6119%	2.1119%
GPU72	2⁸⁴	5,614.0162	64.2857%	4000000	180000000	638.7836	4.2187%	6,252.7998	65.7924%	1.5067%
Difference	-11	-5,611.2752	-5.3816%	-4000000	-180000000	-638.7836	-4.2187%	-6,250.0588	-6.8883%	-6.8883%

Known prime factors (2 factors, 128.9 bits, 0.00001848% 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
697872517	12320908138793076223	20	63.418	8827477683 3 × 2942492561	2010-06-25	3	2942492561	0.0036	7,536.0	14,075
697872517	53205787072212723127	20	65.528	38119990239 3² × 17 × 249150263	2019-01-01	17	249150263	0.0119	638.10	1,191.8

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
697872517	12320908138793076223 53205787072212723127	655543614968917178695567802236105909321	39	128.946

P-1 results:
No P-1 results for M697872517

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-06-25T07:50:00	Architects Cubed	m1_11	?	?	12320908138793076223	63.418	20	0.001	46,363	0.003
2010-01-04T00:00:00	linded	v4_computers	2⁶¹	2⁶²		-	-	0.000	-	-
2019-01-01T13:31:10	TJAOI	Manual testing	2⁶⁵	2⁶⁶*	53205787072212723127	65.528	20	0.001	46,363	0.003
2022-08-12T16:27:05	LordJulius	Manual testing	2¹	2⁷⁰	12320908138793076223	63.418	20	0.004	46,363	0.007
2022-08-12T16:27:05	LordJulius	Manual testing	2¹	2⁷⁰	53205787072212723127	65.528	20	0.012	46,363	0.024
2022-08-12T16:27:05	LordJulius	Manual testing	2⁷⁰	2⁷¹		-	-	0.343	-	-
2022-08-12T16:27:05	LordJulius	Manual testing	2⁷¹	2⁷²		-	-	0.685	-	-
2022-08-12T16:27:05	LordJulius	Manual testing	2⁷²	2⁷³		-	-	1.371	-	-

ECM factoring results:
No ECM results for M697872517

Lucas-Lehmer results:
No L-L results for M697872517

PRP results:
No PRP results for M697872517

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:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁶

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-12T16:27:05+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