M46 818 137 Mersenne number exponent details

≡

is 2 ^46818137 - 1

has 14093664 decimal digits

takes 81.281 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	690321534E4817F1	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	40.8569	64.3836%	555000	16511250	3.5856	4.3379%	44.4425	65.9286%
Target	2⁷²	20.4266	63.8889%	340000	88000000	12.8787	4.1521%	33.3053	65.3883%
Difference	+1	+20.4303	+0.4947%	+215000	-71488750	-9.2931	+0.1858%	+11.1372	+0.5403%

Known prime factors:
No known factors for M46818137

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-12-17	MCAS	M08-103-02	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
2008-03-03	Team Prime Rib	v4_computers	2¹	2⁶⁸		-	-	1.273	-	-
2014-09-05	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	1.277	-	-
2015-05-30	David Campeau	Manual testing	2⁶⁹	2⁷⁰		-	-	2.554	-	-
2015-09-22	Mark Rose	Manual testing	2⁷⁰	2⁷¹		-	-	5.108	-	-
2015-12-04	ANONYMOUS	Manual testing	2⁷¹	2⁷²		-	-	10.22	-	-
2017-10-29	TheJudger	Manual testing	2⁷²	2⁷³		-	-	20.43	-	-

ECM factoring results:
No ECM results for M46818137

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2010-03-05	MCAS	M08-103-02	690321534E4817F1	81.28
2019-03-20	Syntony	Kilderkin	690321534E4817F1	81.28

PRP results:
No PRP results for M46818137

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