M46 865 327 Mersenne number exponent details

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is 2 ^46865327 - 1

has 14107870 decimal digits

takes 81.363 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	4BD3ABBEC47F1B4F	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷³	40.8158	64.3836%	555000	16511250	3.5856	4.3384%	44.4013	65.9288%
Target	2⁷²	20.4060	63.8889%	340000	88000000	12.8787	4.1526%	33.2847	65.3884%
Difference	+1	+20.4098	+0.4947%	+215000	-71488750	-9.2931	+0.1858%	+11.1166	+0.5403%

Known prime factors:
No known factors for M46865327

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-12-20	MCAS	M08-101-02	555000	16511250		-		-	-	3.586	-	-	4.338%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-06-13	Team Prime Rib	v4_computers	2¹	2⁶⁸		-	-	1.272	-	-
2014-09-05	Andrew B	Manual testing	2⁶⁸	2⁶⁹		-	-	1.276	-	-
2015-06-05	David Campeau	Manual testing	2⁶⁹	2⁷⁰		-	-	2.551	-	-
2015-12-07	AirSquirrels	Manual testing	2⁷⁰	2⁷¹		-	-	5.102	-	-
2015-12-07	AirSquirrels	Manual testing	2⁷¹	2⁷²		-	-	10.20	-	-
2017-10-29	TheJudger	Manual testing	2⁷²	2⁷³		-	-	20.41	-	-

ECM factoring results:
No ECM results for M46865327

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2010-02-08	MCAS	M08-101-02	4BD3ABBEC47F1B4F	81.36
2019-03-18	Syntony	Kilderkin	4BD3ABBEC47F1B4F	81.36
2019-04-30	Milwizzle	backend	4BD3ABBEC47F1B4F	81.36

PRP results:
No PRP results for M46865327

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 = 555000, B2 = 16511250 (P-1 stage 2)

B1 = 555000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

this exponent TF target: 72

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-06-05T21:50:05+00:00