M58935871 Mersenne number exponent details

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M58935871

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is 2 ^58935871 - 1

has 17741465 decimal digits

takes 130.928 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	2⁶⁷	0.5042	61.1940%	-	-	-	-	0.5042	61.1940%	0.0000%
PrimeNet	2⁶⁹	2.0257	62.3188%	260000	12000000	2.8979	5.6384%	4.9236	64.4435%	2.1246%
GPU72	2⁷³	32.4564	64.3836%	400000	14000000	3.6753	4.1437%	36.1317	65.8594%	1.4759%
Difference	-6	-31.9522	-3.1895%	-400000	-14000000	-3.6753	-4.1437%	-35.6275	-4.6654%	-4.6654%

Known prime factors (1 factor, 66.6 bits, 0.00011295% 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
58935871	109449393284153371247	21	66.569	928546498313 7² × 5749 × 3296213	2009-01-31	5749	3296213	0.3885	0.5960	1.0805

P-1 results:
No P-1 results for M58935871

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-01-31T23:00:00	Sturle Sunde	othello.ifi	?	?	109449393284153371247	66.569	21	0.138	268.4	0.283
1999-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.03598e-5	-	-
2000-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.07196e-5	-	-
2000-06-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-07-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2002-11-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2004-01-27T00:00:00	1997rj7	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
TF assumed completed to 67 but no detailed record exists
2009-01-30T15:57:00	cnaTb_xo4y	Manual testing	2⁶³	2⁶⁴		-	-	0.033	-	-
2009-01-31T08:45:00	poomk	cancer.poomk	2⁶⁴	2⁶⁵		-	-	0.063	-	-
2009-01-31T14:36:00	Sturle Sunde	othello.ifi	2⁶⁵	2⁶⁶		-	-	0.127	-	-

ECM factoring results:
No ECM results for M58935871

Lucas-Lehmer results:
No L-L results for M58935871

PRP results:
No PRP results for M58935871

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

10²

10³

10⁴

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶⁰

2⁵⁹

2⁵⁸

2⁵⁷

2⁵⁶

2⁵⁴

2⁵³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2009-01-31T23:00:09+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