UnkleRhaukus
  • UnkleRhaukus
Which base has the lowest prime number density /
Meta-math
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Isnt prime number density is same in all base
UnkleRhaukus
  • UnkleRhaukus
why do you say that?
anonymous
  • anonymous
If 7 is prime in base 10 then its value in other base system is also prime right?

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More answers

UnkleRhaukus
  • UnkleRhaukus
yeah, but the density will be different
anonymous
  • anonymous
how?
anonymous
  • anonymous
number of prime numbers will not change
UnkleRhaukus
  • UnkleRhaukus
i suppose i mean density of digits
anonymous
  • anonymous
Suppose there are n prime numbers less than x then, Prime number density =n/x IN ANY BASE SYSTEM
anonymous
  • anonymous
though different number may come in different base system If we convert them all in same base number then their value will be same
sasogeek
  • sasogeek
does the density of a number and it's value have any relation?
UnkleRhaukus
  • UnkleRhaukus
any random number has the same density,
sasogeek
  • sasogeek
so prime numbers in base ten have same density as prime numbers in base 5...
sasogeek
  • sasogeek
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
sasogeek
  • sasogeek
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?
UnkleRhaukus
  • UnkleRhaukus
\[|\{2,3\}|/|\{0,1,2,3,4\}|=2/5\] \[|\{2,3,5,7\}|/|\{0,1,2,3,4,5,6,7,8,9\}|=4/10=2/5\]
UnkleRhaukus
  • UnkleRhaukus
is it alway 2:5?
UnkleRhaukus
  • UnkleRhaukus
base three\[|\{2\}|/|\{0,1,2\}=1/3\]
sasogeek
  • sasogeek
interesting :)
UnkleRhaukus
  • UnkleRhaukus
in base one and base two the prime density is zero
UnkleRhaukus
  • UnkleRhaukus
what base has the highest prime density?
sasogeek
  • sasogeek
infinity
UnkleRhaukus
  • UnkleRhaukus
base infinity ? hmm interesting
sasogeek
  • sasogeek
no one ever mentioned it... might as well give it a try xD
sasogeek
  • sasogeek
but ur question... maybe u should choose 0.... cos base zero has prime number density of 0 and zero is less than 1...
UnkleRhaukus
  • UnkleRhaukus
i can't count in base zero
sasogeek
  • sasogeek
so go for one, the next obvious answer lol unless i'm not thinking right :/
sasogeek
  • sasogeek
wait, u cant count in base 1 either... :(
sasogeek
  • sasogeek
next number.... 2? works for me... i can count in base 2... yay!!!
UnkleRhaukus
  • UnkleRhaukus
|,||,|||,||||,|||||,||||||,|||||||,||||||||,|||||||||,
sasogeek
  • sasogeek
?
UnkleRhaukus
  • UnkleRhaukus
thats base one
sasogeek
  • sasogeek
are you serious!? -_-
sasogeek
  • sasogeek
the only number in base 1, is 0.....
sasogeek
  • sasogeek
please ask the question in a new thread and add "Cont'd" and put the link here, this one is becoming too long
UnkleRhaukus
  • UnkleRhaukus
oh right, base one 0,00,000,0000,00000,000000,0000000, base two 1,10,11,100,101,110,111,1000
sasogeek
  • sasogeek
no matter the number of 0's, it's still 0.....
sasogeek
  • sasogeek
00000000000=0 00000=0 0=0
UnkleRhaukus
  • UnkleRhaukus
id this how to count in base zero ? {}, {{}}, {{{}}}, {{{{}}}}
sasogeek
  • sasogeek
idk either :/ @amistre64 @satellite73 @saifoo.khan ...

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