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HiddenLayer5 @lemmy.ml

2y ago

Primes

74 comments

2 may be the only even prime - that is it's the only prime divisible by 2 - but 3 is the only prime divisible by 3 and 5 is the only prime divisible by 5, so I fail to see how this is unique.
- Exactly, "even" litterally means divisible by 2. We could easily come up with a term for divisible by 3 or 5. Maybe there even is one. So yeah 2 is nothing special.
  
  "Threven" has a nice ring to it now that I think of it.

Even vs odd numbers are not as important as we think they are. We could do the same to any other prime number. 2 is the only even prime (meaning it is divisible by 2) 3 is the only number divisible by 3. 5 is the only prime divisible by 5. When you think about the definition of prime numbers, this is a trivial conclusion.
Tldr: be mindful of your conventions.
- Yes, but not really.
  With 2, the natural numbers divide into equal halves. One of which we call odd and the other even. And we use this property a lot in math.
  If you do it with 3, then one group is going to be a third and the other two thirds (ignore that both sets are infinite, you may assume a continuous finite subset of the natural numbers for this argument).
  And this imbalance only gets worse with bigger primes.
  So yes, 2 is special. It is the first and smallest prime and it is the number that primarily underlies concepts such as balance, symmetry, duplication and equality.
  
  But why would you divide the numbers to two sets? It is reasonable for when considering 2, but if you really want to generalize, for 3 you’d need to divide the numbers to three sets. One that divide by 3, one that has remainder of 1 and one that has remainder of 2. This way you have 3 symmetric sets of numbers and you can give them special names and find their special properties and assign importance to them. This can also be done for 5 with 5 symmetric sets, 7, 11, and any other prime number.

2 is a prime though isn't it
- Yes, but it's the only even one. Making him the odd man out
- It is but if feels wrong
- It pretends to be prime and we all go along with it to avoid hurting its feeling.

The meme works better if it's 1 instead of 2. 1 is mostly not considered a prime number because a bunch of theorems like the fundamental theorem of arithmetic would have to be reworked to say "prime numbers greater than 1." However, just because 1 is not a prime number doesn't mean it's a composite number, so 1 is a number that is neither prime nor composite.
- 2 is a prime number, but shit ton of theorems only apply to odd prime numbers, and a lot of other theorems treat 2 as a special separate case, because it behaves weirdly.

I don't get it, why does adding a hand move to the next prime?
- 🚨 NERD ALERT🚨
  Go define a vector space, nerd.
  Go compute the p value of you being cool
  Go integrate f(x)= 1/x on the domain (-1,1)
  This is meme-ville population: me
  Take a hike.
  
  Spoiler: p < 0.05
  
  let V be you mom’s vagina, a vector space over the field of pubes. We define my d as a vector such that d is in V. Thus my dick is in your mom’s vagina.
  In this vector space p values are not defined, but I can assure you that my pp is > 9000.
  The integral of f(x)=1/x from -1 to 1 does not converge, just like how your father is never coming back from buying milk. The principal value of that integral tho is 0, just like the amount of hugs you got as a kid.
  math is cool, you just too stupid to get it.
  
  what why i'm serious i don't get why the hands decrement the numbers
- Pretty sure that when we plug in a correction factor for the relative age of the Fediverse userbase, "today's lucky 10,000" becomes more like "today's lucky 10 million"
  
  Lucky ten thousand
  I kinda wish it was calculated for the world instead of the US though
- It's just the way the power rangers combined their forces

2 is a prime number though…..
Is it Just because it’s the only even one?
- Often things hold true for all primes except 2. You come across things like "for all non two primes"
  
  Any examples? Sounds like you mean the reason why one is excluded from the primes because of the fundamental theorem of arithmetic.
  
  Like what? Genuine question, have never heard of this.
- And how is "even" special? Two is the only prime that's divisible by two but three is also the only prime divisible by three.
  
  Well 2 is the outlier because it’s the only even prime. It might not be “special” but it is unique out of all of the prime numbers.

Two is the oddest prime of them all.

2 is the prime supreme
- @WolfhoundRO @HiddenLayer5, and 73 the one of Sheldon Cooper.
  https://en.wikipedia.org/wiki/73(number)

Oh yeah? What about 0? And 1?
- They're not prime. By definition primes have two prime factors. 1 and the number itself. 1 is divisible only by 1. 0 has no prime factors.
  
  Commonly primes are defined as natural numbers greater than 1 that have only trivial divisors. Your definition kinda works, but 1 can be infinitely many prime factors since every number has 1^n with n ∈ ℕ as a prime factor. And your definition is kinda misleading when generalising primes.
  
  0 has all the factors. Itself and any other number.
- Put them in a sieve of Eratosthenes and see what happens.
  Spoiler, they aren't.

Yo what about my man 9
- @lowleveldata @HiddenLayer5
  You asking why 9 wasn’t at the party?
  It’s because he’s a square
  
  Eyyyyy
- 7 ate them
- 9 isnt prime, it's divisible by 7
  just not very well...

74 comments