M6 916 187 Mersenne number exponent details

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is 2 ^6916187 - 1

has 2081980 decimal digits

takes 1.508 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	2⁶⁷	4.2963	65.6716%	-	-	-	-	4.2963	65.6716%
Target	2⁶⁷	4.2963	65.6716%	45000	7200000	0.1375	2.2361%	4.4338	66.4393%
Difference	-	-	-	-45000	-7200000	-0.1375	-2.2361%	-0.1375	-0.7676%

Known prime factors (1 factor, 59.2 bits, 0.00085665% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
6916187	684428101454095231	18	59.248	49480161645 3 × 5 × 3298677443	1998-07-21	5	3298677443	0.0189	56.824	106.13

P-1 results:
No P-1 results for M6916187

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-21	ANONYMOUS	v4_computers	?	?	684428101454095231	59.248	18	0.008	7.319	0.038

ECM factoring results:
No ECM results for M6916187

Lucas-Lehmer results:
No L-L results for M6916187

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-20

AnkanDas

AnkanLap

684428101454095231

6F8D90B4E8605C__

no

2019-01-23

kkmrkkblmbrbk

c5.large

684428101454095231

6F8D90B4E8605CEA

no

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

10⁰

10¹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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