M85393921 Mersenne number exponent details

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M85393921

<<<

is 2 ^85393921 - 1

has 25706132 decimal digits

takes 275.040 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	2⁷⁶	179.2164	64.4737%	675000	675000	3.1524	1.4162%	182.3688	64.9768%	0.5031%
PrimeNet	2⁷¹	5.5985	61.9718%	360000	17000000	5.9153	5.3841%	11.5138	64.0193%	2.0475%
GPU72	2⁷⁵	89.6072	64.0000%	550000	19000000	7.2631	3.9464%	96.8703	65.4207%	1.4207%
Difference	+1	+89.6093	+0.4737%	+125000	-18325000	-4.1107	-2.5301%	+85.4985	-0.4439%	-0.4439%

Known prime factors (1 factor, 93.5 bits, 0.00010950% 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
85393921	14072321778883706915013177017	29	93.507	82396507936927424348 2² × 191 × 601 × 1013 × 303007 × 584627	2018-01-14	303007	584627	39,700,010	1.4868	2.8800

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-01-15T03:58:25	Jwb52z	Clay	675000	675000			14072321778883706915013177017	29	93.507	3.152	550.1	6.305	1.416%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-26T02:50:00	Architects Cubed	m1_54	2⁶⁴	2⁶⁵		-	-	0.044	-	-
2013-03-06T00:28:00	E.Lechner		2⁶⁵	2⁶⁶		-	-	0.088	-	-
2013-03-06T18:44:00	Florimond C.	ichthys1	2⁶⁶	2⁶⁷		-	-	0.175	-	-
2013-03-07T15:05:00	Florimond C.	ichthys1	2⁶⁷	2⁶⁸		-	-	0.350	-	-
2013-03-14T15:47:00	ANONYMOUS		2⁶⁸	2⁶⁹		-	-	0.700	-	-
2013-03-21T10:40:00	ANONYMOUS		2⁶⁹	2⁷⁰		-	-	1.400	-	-
2013-06-29T21:47:00	willmore	Manual testing	2⁷⁰	2⁷¹		-	-	2.800	-	-
2014-01-22T17:37:00	natha(net)	Manual testing	2⁷¹	2⁷²		-	-	5.601	-	-
2017-03-08T15:29:53	Matthias Wurtinger	Manual testing	2⁷²	2⁷³		-	-	11.20	-	-
2017-04-16T15:41:42	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	22.40	-	-
2017-09-16T21:55:17	ANONYMOUS	Manual testing	2⁷⁴	2⁷⁵		-	-	44.80	-	-
2017-09-24T15:22:05	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	89.61	-	-

ECM factoring results:
No ECM results for M85393921

Lucas-Lehmer results:
No L-L results for M85393921

PRP results:
No PRP results for M85393921

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

B1 = 675000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-01-15T03:58:25+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