M85 408 639 Mersenne number exponent details

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is 2 ^85408639 - 1

has 25710563 decimal digits

takes 275.087 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 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
Actual	2⁶⁹	1.3978	60.8696%	-	-	-	-	1.3978	60.8696%
Target	2⁷⁵	89.5917	64.0000%	550000	19000000	7.2631	3.9465%	96.8549	65.4207%
Difference	-6	-88.1939	-3.1304%	-550000	-19000000	-7.2631	-3.9465%	-95.4570	-4.5512%

Known prime factors (1 factor, 69.9 bits, 0.00008190% 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
85408639	1139603421685377046231	22	69.949	6671476299285 3² × 5 × 7 × 101 × 1319 × 158981	2013-06-20	1319	158981	1.4296	0.0463	0.0756

P-1 results:
No P-1 results for M85408639

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2013-06-20	frmar	ged099	?	?	1139603421685377046231	69.949	22	0.032	644.2	0.075
2010-11-26	Architects Cubed	m1_73	2⁶⁴	2⁶⁵		-	-	0.044	-	-
2013-02-24	roemer2201	HPCC	2⁶⁵	2⁶⁶		-	-	0.087	-	-
2013-02-24	roemer2201	HPCC	2⁶⁶	2⁶⁷		-	-	0.175	-	-
2013-06-17	frmar	ged098	2⁶⁷	2⁶⁸		-	-	0.350	-	-
2013-06-18	frmar	ged099	2⁶⁸	2⁶⁹		-	-	0.700	-	-

ECM factoring results:
No ECM results for M85408639

Lucas-Lehmer results:
No L-L results for M85408639

PRP results:
No PRP results for M85408639

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

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2

this exponent TF target: 75

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-04-26T21:34:10+00:00