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UnkleRhaukus
 3 years ago
Which base has the lowest prime number density /
UnkleRhaukus
 3 years ago
Which base has the lowest prime number density /

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sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.0Isnt prime number density is same in all base

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1why do you say that?

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.0If 7 is prime in base 10 then its value in other base system is also prime right?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1yeah, but the density will be different

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.0number of prime numbers will not change

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1i suppose i mean density of digits

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.0Suppose there are n prime numbers less than x then, Prime number density =n/x IN ANY BASE SYSTEM

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.0though different number may come in different base system If we convert them all in same base number then their value will be same

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1does the density of a number and it's value have any relation?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1any random number has the same density,

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1so prime numbers in base ten have same density as prime numbers in base 5...

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1this 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
 3 years ago
Best ResponseYou've already chosen the best response.1and 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
 3 years ago
Best ResponseYou've already chosen the best response.1\[\{2,3\}/\{0,1,2,3,4\}=2/5\] \[\{2,3,5,7\}/\{0,1,2,3,4,5,6,7,8,9\}=4/10=2/5\]

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1base three\[\{2\}/\{0,1,2\}=1/3\]

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1in base one and base two the prime density is zero

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1what base has the highest prime density?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1base infinity ? hmm interesting

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1no one ever mentioned it... might as well give it a try xD

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1but ur question... maybe u should choose 0.... cos base zero has prime number density of 0 and zero is less than 1...

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1i can't count in base zero

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1so go for one, the next obvious answer lol unless i'm not thinking right :/

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1wait, u cant count in base 1 either... :(

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1next number.... 2? works for me... i can count in base 2... yay!!!

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1,,,,,,,,,

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1the only number in base 1, is 0.....

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1please ask the question in a new thread and add "Cont'd" and put the link here, this one is becoming too long

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1oh right, base one 0,00,000,0000,00000,000000,0000000, base two 1,10,11,100,101,110,111,1000

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1no matter the number of 0's, it's still 0.....

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.100000000000=0 00000=0 0=0

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1id this how to count in base zero ? {}, {{}}, {{{}}}, {{{{}}}}

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.1idk either :/ @amistre64 @satellite73 @saifoo.khan ...
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