M58066013 Mersenne number exponent details

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M58066013

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is 2 ^58066013 - 1

has 17479612 decimal digits

takes 123.068 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	2⁷⁰	4.1152	62.8571%	-	-	-	-	4.1152	62.8571%	0.0000%
PrimeNet	2⁶⁹	2.0561	62.3188%	260000	11000000	2.5973	5.5417%	4.6533	64.4070%	2.0882%
GPU72	2⁷³	32.9426	64.3836%	400000	13000000	3.3390	4.0779%	36.2816	65.8360%	1.4524%
Difference	-3	-28.8274	-1.5264%	-400000	-13000000	-3.3390	-4.0779%	-32.1664	-2.9788%	-2.9788%

Known prime factors (2 factors, 110.4 bits, 0.00019007% 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
58066013	236441088711169	15	47.748	2035968 2⁸ × 3 × 11 × 241	1999-12-08	256	256	5.443e-7	0.0008	0.0016
58066013	7068488537835920497	19	62.616	60865971096 2³ × 3 × 7 × 362297447	2016-09-12	8	362297447	0.0210	60.662	113.30

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
58066013	236441088711169 7068488537835920497	1671281125428344132756414479930993	34	110.365

P-1 results:
No P-1 results for M58066013

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-08T00:00:00	ANONYMOUS	v4_computers	?	?	236441088711169	47.748	15	2.21409e-7	253.0	4.55155e-7
2016-09-12T15:16:15	TJAOI	Manual testing	2⁶²	2⁶³*	7068488537835920497	62.616	19	0.010	253.0	0.021
2022-04-15T00:30:26	LordJulius	Manual testing	2¹	2⁶⁶	236441088711169	47.748	15	5.44296e-7	253.0	1.11892e-6
2022-04-15T00:30:26	LordJulius	Manual testing	2¹	2⁶⁶	7068488537835920497	62.616	19	0.021	253.0	0.043
2022-04-15T00:30:26	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.257	-	-
2022-04-15T00:30:26	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	0.515	-	-
2022-04-15T00:30:26	LordJulius	Manual testing	2⁶⁸	2⁶⁹		-	-	1.030	-	-
2022-04-15T00:30:26	LordJulius	Manual testing	2⁶⁹	2⁷⁰		-	-	2.059	-	-

ECM factoring results:
No ECM results for M58066013

Lucas-Lehmer results:
No L-L results for M58066013

PRP results:
No PRP results for M58066013

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

TF factor-bounds graph:

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶³

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-04-15T00:30:26+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