math problem

H

Harold O'brien

Luminary
Joined
Dec 3, 2021
Posts
5,413
Reputation
7,144
is 100000000000000000 ... 01 where there are 1333 zeros between the leading and ending 1 a prime number?

why or why not?

@Gunfire
@cloUder
 
  • +1
Reactions: Gunfire
Does the number have anything to do with binary numbers or not
 
I tried a few variations with less zeros and they all seem to not be prime after 101
 
I tried a few variations with less zeros and they all seem to not be prime after 101
I fee like the actual answer is quite easy but the difficult part is finding a way to conclusively prove it
 
  • +1
Reactions: SAR and Gunfire
I fee like the actual answer is quite easy but the difficult part is finding a way to conclusively prove it
I have an idea in mind
Using power of 10 and then proving the differece of 1 or something along these lines
 
its not a prime number
you can divide it by 11
1644698961459
 
  • +1
Reactions: Gunfire
@Gunfire
 
  • +1
Reactions: Gunfire
ive never come across this type of question. @cloUder
 
  • JFL
Reactions: SAR, Baldingman1998 and Gunfire
ive never come across this type of question. @cloUder
yes because its meant as a puzzle
but generally if you see an equation where something equals something, or its only using numbers its algebra
 
  • +1
Reactions: ChristianChad
yes because its meant as a puzzle
but generally if you see an equation where something equals something, or its only using numbers its algebra
what grade are you in?
 
I didn’t think of this because I tried entering 10^1331 + 1 / 7 or something along those lines and it didn’t work, so I closed wolframalpha tab
yeah but using x and y will give you the answed if there is one
 
Hold up @cloUder isn’t it 10^1334 + 1?
no because 10^1 is 10, which is one zero, 10^2 is 100 which is 2 zeros, you can see the the power is the same as the 0s
 
  • +1
Reactions: Gunfire
Because there’s 1, that’s the ^1
There’s 1333 zeros, that’s the ^1333
So that’s 1334? What am I missing?
huh?
you add the one as a whole number, its not part of the power
 
I see now :feelshaha::feelshaha::feelshaha: I have like no experience in this area of math
we're studying logarithms this year so thats why i figured it out once i had the chance to use wolfram
 
  • +1
Reactions: Gunfire
I’m studying geometry right now :feelshaha:
im studying geometry too, using sin and cos in triangles, trapeziums, etc and trigonometrical functions, radians periods of trigonometrical functions
 
  • +1
Reactions: Gunfire
Did you choose to study this, or is it required As part of your education?
its required as part of my education, in a regular school
 
  • +1
Reactions: Gunfire
@cloUder I have another quick problem for you.

You have 25 mechanical horses. You can’t record their exact times, only the order they finish the race. Each mechanical horse finishes the race in the same time in every single race they race in.

How many races would it require to find the 3 fastest horses from the group?

Bonus : Try generalising for all similar problem.
i'll do it tomorrow cause its late and im tired rn
 
It’s a quickie but I ain’t forcing u. I’m on break rn so I have all the time in the world :feelsokman:
btw there are some rly nasty math problems out there
for instance this one
have u seen this channel?
 
  • +1
Reactions: Gunfire
niggas be down on dat score but doin math problems 😭😭😭:ROFLMAO::ROFLMAO:

go slide fuk nigga🥷🥷
 
  • WTF
Reactions: Deleted member 13787
its prob devidable on some shit like 73, 29, 143, i can feel it
 
@Pansexual Goddess wolfram has no problem with
1644706513967

1644706534304

so why is 1334 power showing up as a prime number?
 
That’s not so surprising but possibly harder curriculum than Anglo countries
Education is a disaster in Anglo countries
 
@cloUder
@Gunfire

it is not prime because it is divisible by 101

there is a simple divisibility rule for 101. if the sum of alternating digits in groups of two read from right to left is divisible by 101 then the number is divisible by 101

for example 101 would be 01 - 1 = 0 which is divisible by 101
1000001 would be 01 - 00 + 00 -1 = 0 which is divisible by 101

you can see that adding four zeros to the numbers above will still be divisible by 101 because it would just add a +00 and a -00 which will cancel out

1333=1+4*333 so we are just adding 333 lots of +00 and -00 in the middle of 101 so the sum of the alternating digits in groups of two still gives zero

thus 1000000000...00001 (1333 zeros) is divisible by 101
 
  • JFL
  • +1
Reactions: Gunfire and Deleted member 13787
@cloUder
@Gunfire

it is not prime because it is divisible by 101

there is a simple divisibility rule for 101. if the sum of alternating digits in groups of two read from right to left is divisible by 101 then the number is divisible by 101

for example 101 would be 01 - 1 = 0 which is divisible by 101
1000001 would be 01 - 00 + 00 -1 = 0 which is divisible by 101

you can see that adding four zeros to the numbers above will still be divisible by 101 because it would just add a +00 and a -00 which will cancel out

1333=1+4*333 so we are just adding 333 lots of +00 and -00 in the middle of 101 so the sum of the alternating digits in groups of two still gives zero

thus 1000000000...00001 (1333 zeros) is divisible by 101
why didnt wolfram tell me this before
1644707995994
 
Does this not mean that every number with an odd number of digits greater than 101 which follows this kind of format of 10..1 will be divisible by 101?
no

it has to have zeros in sequence of 1+4n

for example 10001 you would get 01 - 00 + 1 = 2 which isn't divisible by 101
 
Can’t believe I let you convince me that I was wrong @cloUder just because I didn’t have much knowledge in this area :feelshaha::feelshaha::feelshaha:
i didnt think it through, this is the type of mistake that always costs me the A+ on math tests
 
  • JFL
Reactions: Gunfire
@cloUder @Pansexual Goddess
i dont understand what you mean exactly
am i supposed to record the order in which they finish in?
like at the end of one race i get the order of all horses?
or i can record the finishing place of one horse after the race
 

Similar threads

Users who are viewing this thread

Back
Top