Question

Which base has the lowest prime number density /

Answer 1

Isnt prime number density is same in all base

Answer 2

why do you say that?

Answer 3

If 7 is prime in base 10 then its value in other base system is also prime
right?

Answer 4

yeah, but the density will be different

Answer 5

how?

Answer 6

number of prime numbers will not change

Answer 7

i suppose i mean density of digits

Answer 8

Suppose there are n prime numbers less than x then,
Prime number density =n/x
IN ANY BASE SYSTEM

Answer 9

though different number may come in different base system
If we convert them all in same base number then their value will be same

Answer 10

does the density of a number and it's value have any relation?

Answer 11

any random number has the same density,

Answer 12

so prime numbers in base ten have same density as prime numbers in base 5...

Answer 13

this is my first time reading about number density so i'm only making statements out of deduced logic :/ i hope i'm not going astray lol

Answer 14

and if density remains the same no matter the base, doesn't it mean that there couldn't possibly be any base with "lowest prime number density" since it's the same everywhere?

Answer 15

\[|\{2,3\}|/|\{0,1,2,3,4\}|=2/5\]
\[|\{2,3,5,7\}|/|\{0,1,2,3,4,5,6,7,8,9\}|=4/10=2/5\]

Answer 16

is it alway 2:5?

Answer 17

base three\[|\{2\}|/|\{0,1,2\}=1/3\]

Answer 18

interesting :)

Answer 19

in base one and base two the prime density is zero

Answer 20

what base has the highest prime density?

Answer 21

infinity

Answer 22

base infinity ? hmm interesting

Answer 23

no one ever mentioned it... might as well give it a try xD

Answer 24

but ur question... maybe u should choose 0.... cos base zero has prime number density of 0 and zero is less than 1...

Answer 25

i can't count in base zero

Answer 26

so go for one, the next obvious answer lol unless i'm not thinking right :/

Answer 27

wait, u cant count in base 1 either... :(

Answer 28

next number.... 2? works for me... i can count in base 2... yay!!!

Answer 29

|,||,|||,||||,|||||,||||||,|||||||,||||||||,|||||||||,

Answer 30

?

Answer 31

thats base one

Answer 32

are you serious!? -_-

Answer 33

the only number in base 1, is 0.....

Answer 34

please ask the question in a new thread and add "Cont'd" and put the link here, this one is becoming too long

Answer 35

oh right,

base one
0,00,000,0000,00000,000000,0000000,

base two
1,10,11,100,101,110,111,1000

Answer 36

no matter the number of 0's, it's still 0.....

Answer 37

00000000000=0
00000=0
0=0

Answer 38

id this how to count in base zero ?

{}, {{}}, {{{}}}, {{{{}}}}

Answer 39

idk either :/ @amistre64 @satellite73 @saifoo.khan ...