M697839179 Mersenne number exponent details

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M697839179

<<<

is 2 ^697839179 - 1

has 210070526 decimal digits

takes 22,623.235 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	350.8925	62.5000%	2600000	180000000	576.5586	5.6318%	927.4512	64.6119%	2.1119%
GPU72	2⁸⁴	5,614.2844	64.2857%	4000000	180000000	638.7836	4.2187%	6,253.0680	65.7924%	1.5067%
Difference	-16	-5,614.1990	-8.4034%	-4000000	-180000000	-638.7836	-4.2187%	-6,252.9826	-9.9100%	-9.9100%

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
697839179	20686830450912303569	20	64.165	14822061496 2³ × 11² × 31 × 493937	2012-01-25	121	493937	0.0073	1.2704	2.3627
697839179	31301086051302659231	20	64.763	22427148685 5 × 4485429737	2012-01-25	5	4485429737	0.0061	11,488	21,456

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
697839179	20686830450912303569 31301086051302659231	647520260072714205664003917065632095439	39	128.928

P-1 results:
No P-1 results for M697839179

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2012-01-25T11:31:00	lalera	Manual testing	?	?	20686830450912303569	64.165	20	0.002	46,361	0.005
2012-01-25T11:31:00	lalera	Manual testing	?	?	31301086051302659231	64.763	20	0.001	46,361	0.002
2010-03-17T00:00:00	linded	v4_computers	2⁶¹	2⁶²		-	-	0.000	-	-
2010-07-18T12:20:00	Architects Cubed	m1_76	2⁶³	2⁶⁴		-	-	0.003	-	-
2022-08-10T19:30:09	LordJulius	Manual testing	2¹	2⁶⁸	20686830450912303569	64.165	20	0.007	46,361	0.015
2022-08-10T19:30:09	LordJulius	Manual testing	2¹	2⁶⁸	31301086051302659231	64.763	20	0.006	46,361	0.013

ECM factoring results:
No ECM results for M697839179

Lucas-Lehmer results:
No L-L results for M697839179

PRP results:
No PRP results for M697839179

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁸

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:30:09+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