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Isnt prime number density is same in all base

why do you say that?

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

yeah, but the density will be different

how?

number of prime numbers will not change

i suppose i mean density of digits

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

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

any random number has the same density,

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

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

is it alway 2:5?

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

interesting :)

in base one and base two the prime density is zero

what base has the highest prime density?

infinity

base infinity ? hmm interesting

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

i can't count in base zero

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

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

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

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

?

thats base one

are you serious!? -_-

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

oh right,
base one
0,00,000,0000,00000,000000,0000000,
base two
1,10,11,100,101,110,111,1000

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

00000000000=0
00000=0
0=0

id this how to count in base zero ?
{}, {{}}, {{{}}}, {{{{}}}}