M46 851 641 Mersenne number exponent details

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is 2 ^46851641 - 1

has 14103750 decimal digits

takes 81.340 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	EC700B2201D40AB9	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	40.8277	64.3836%	535000	9228750	2.5392	3.8471%	43.3669	65.7538%
Target	2⁷²	20.4120	63.8889%	340000	88000000	12.8787	4.1525%	33.2907	65.3884%
Difference	+1	+20.4157	+0.4947%	+195000	-78771250	-10.3396	-0.3053%	+10.0762	+0.3654%

Known prime factors:
No known factors for M46851641

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2010-04-21	raptorboy	mama	535000	9228750		-		-	-	2.539	-	-	3.847%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-03-03	Csaba Vágó	v4_computers	2¹	2⁶⁸		-	-	1.272	-	-
2011-04-17	kdgehman	Manual testing	2⁶⁸	2⁶⁹		-	-	1.276	-	-
2015-09-01	Mark Rose	Manual testing	2⁶⁹	2⁷⁰		-	-	2.552	-	-
2015-12-04	AirSquirrels	Manual testing	2⁷⁰	2⁷¹		-	-	5.104	-	-
2015-12-04	AirSquirrels	Manual testing	2⁷¹	2⁷²		-	-	10.21	-	-
2017-10-27	AK76	Manual testing	2⁷²	2⁷³		-	-	20.42	-	-

ECM factoring results:
No ECM results for M46851641

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2010-08-21	raptorboy	mama	EC700B2201D40AB9	81.34
2019-03-21	chuenkit	CHAIN	EC700B2201D40AB9	81.34

PRP results:
No PRP results for M46851641

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 = 535000, B2 = 9228750 (P-1 stage 2)

B1 = 535000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

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