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UnkleRhaukus
Which base has the lowest prime number density /
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
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
though different number may come in different base system If we convert them all in same base number then their value will be same
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...
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
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?
\[|\{2,3\}|/|\{0,1,2,3,4\}|=2/5\] \[|\{2,3,5,7\}|/|\{0,1,2,3,4,5,6,7,8,9\}|=4/10=2/5\]
base three\[|\{2\}|/|\{0,1,2\}=1/3\]
in base one and base two the prime density is zero
what base has the highest prime density?
base infinity ? hmm interesting
no one ever mentioned it... might as well give it a try xD
but ur question... maybe u should choose 0.... cos base zero has prime number density of 0 and zero is less than 1...
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!!!
|,||,|||,||||,|||||,||||||,|||||||,||||||||,|||||||||,
the only number in base 1, is 0.....
please ask the question in a new thread and add "Cont'd" and put the link here, this one is becoming too long
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 ? {}, {{}}, {{{}}}, {{{{}}}}
idk either :/ @amistre64 @satellite73 @saifoo.khan ...