/sci/ - Science & Math » Thread #12939311

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controversial question

Anonymous Wed 07 Apr 14:04:46 2021 No.12939311 View Reply Original Report

Quoted By: >>12939315 >>12939317 >>12939320 >>12939351 >>12939358 >>12939377 >>12939435 >>12939445 >>12940028 >>12940853 >>12940877 >>12943405 >>12943771 >>12943952 >>12944355 >>12944371

Why is 1 not prime?

Anonymous

Anonymous Wed 07 Apr 2021 14:06:41 No.12939315 Report

Quoted By: >>12939324 >>12940916

>>12939311
A number is "prime" when it can be divided by exactly 2 distinct numbers

Anonymous

Anonymous Wed 07 Apr 2021 14:07:01 No.12939317 Report

Quoted By:

>>12939311
because "prime number" is shorter than "prime number greater than 1"

Anonymous

Anonymous Wed 07 Apr 2021 14:07:24 No.12939320 Report

Quoted By:

>>12939311
How can it be prime when primes don't actually exist? Your definition of a prime doesn't prove they actually exist you know!
t. free-thinker expert

Anonymous

Anonymous Wed 07 Apr 2021 14:08:08 No.12939324 Report

Quoted By: >>12939364 >>12939764 >>12943478

>>12939315
says who?

Anonymous

Anonymous Wed 07 Apr 2021 14:14:12 No.12939351 Report

Quoted By: >>12939366

>>12939311
1 isn't even a number, it generates numbers. why would it be prime?

Anonymous

Anonymous Wed 07 Apr 2021 14:16:12 No.12939358 Report

Quoted By:

>>12939311
Because I say so

Anonymous

Anonymous Wed 07 Apr 2021 14:17:17 No.12939364 Report

Quoted By: >>12939375

>>12939324
Everyone

Anonymous

Anonymous Wed 07 Apr 2021 14:17:23 No.12939366 Report

Quoted By: >>12939381 >>12939396

>>12939351
>1 isn't a number
next thing your gonna tell me is that atoms aren't matter

Anonymous

Anonymous Wed 07 Apr 2021 14:18:25 No.12939375 Report

Quoted By: >>12940953

>>12939364
wrong

Anonymous

Anonymous Wed 07 Apr 2021 14:19:06 No.12939377 Report

Quoted By: >>12943412

>>12939311
It is. 1 is divisible by only 1 and itself.

Anonymous

Anonymous Wed 07 Apr 2021 14:20:13 No.12939381 Report

Quoted By: >>12939386 >>12944346

>>12939366
atoms aren't matter, it's a model of matter.

Anonymous

Anonymous Wed 07 Apr 2021 14:21:09 No.12939386 Report

Quoted By: >>12939510 >>12940843 >>12943412 >>12944354 >>12944414

>>12939381
Matter doesn't even exist, that's just a concept you came up with, you can't prove it actually exists.

Anonymous

Anonymous Wed 07 Apr 2021 14:22:34 No.12939396 Report

Quoted By: >>12939430

>>12939366
atoms don't generate matter

Anonymous

Anonymous Wed 07 Apr 2021 14:32:59 No.12939430 Report

Quoted By: >>12939461

>>12939396
atoms compose matter

Anonymous

Anonymous Wed 07 Apr 2021 14:34:22 No.12939435 Report

Quoted By:

>>12939311
Because it's a square number
Prime numbers cannot be square numbers

Anonymous

Anonymous Wed 07 Apr 2021 14:37:01 No.12939445 Report

Quoted By: >>12939602

>>12939311
Purely convention
If you included 1 in the set of primes then there would be a lot of theorems that would be reworded to say "for all primes except 1". In comparaison the judgement "x is a prime or 1" is practically never used with current mathematics, so we chose the most convenient option.
Everything in maths is arbitrary definitions stacked on top of each other, the point is to chose the ones that can model whatever you want to work on.

Anonymous

Anonymous Wed 07 Apr 2021 14:43:32 No.12939461 Report

Quoted By:

>>12939430
that makes two reasons why the atoms analogy fails

Anonymous

Anonymous Wed 07 Apr 2021 14:58:01 No.12939510 Report

Quoted By: >>12939615

>>12939386
do you have senses?

Anonymous

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Anonymous Wed 07 Apr 2021 15:14:10 No.12939580 Report

Quoted By:

i know why

Anonymous

Anonymous Wed 07 Apr 2021 15:16:44 No.12939591 Report

Quoted By:

Because then every number will have infinity of prime divisors.

Anonymous

Anonymous Wed 07 Apr 2021 15:18:37 No.12939602 Report

Quoted By:

>>12939445
Surprised there's no equivalent for "where (denominators)=/= 0" given that division by 0 is far more obtrusive.

Anonymous

Anonymous Wed 07 Apr 2021 15:20:56 No.12939615 Report

Quoted By: >>12939639

>>12939510
No, why, do you think that you do have senses?

Anonymous

Anonymous Wed 07 Apr 2021 15:29:55 No.12939639 Report

Quoted By: >>12939663

>>12939615
because of my senses

Anonymous

Anonymous Wed 07 Apr 2021 15:34:40 No.12939663 Report

Quoted By: >>12939734

>>12939639
Define senses.

Anonymous

Anonymous Wed 07 Apr 2021 15:53:24 No.12939734 Report

Quoted By: >>12939755

>>12939663
organs which I can use to detect and observe the environment that surrounds me

Anonymous

Anonymous Wed 07 Apr 2021 16:00:54 No.12939755 Report

Quoted By: >>12939977

>>12939734
And you trust these strange 'organs' you have? Dunno, sounds weird to me!

Anonymous

Anonymous Wed 07 Apr 2021 16:01:28 No.12939760 Report

Quoted By: >>12939996

btw it seems fucking unreal that there is infinite number of prime numbers

Anonymous

Anonymous Wed 07 Apr 2021 16:02:40 No.12939764 Report

Quoted By:

>>12939324
I do

Anonymous

Anonymous Wed 07 Apr 2021 16:43:02 No.12939977 Report

Quoted By:

>>12939755
Sure

Anonymous

Anonymous Wed 07 Apr 2021 16:44:38 No.12939996 Report

Quoted By:

>>12939760
I've already pointed out, since I'm so brilliant and all, that just because you've defined a prime number doesn't mean it exists! Ha! Keep doing your fake math like you have been the past 100 years, you'll never be as smart as me since I question everything!

Anonymous

Anonymous Wed 07 Apr 2021 16:48:48 No.12940028 Report

Quoted By: >>12940067 >>12940763

>>12939311
>Why is 1 not prime?

Go ahead a define it as prime... it will not change anything

Anonymous

Anonymous Wed 07 Apr 2021 16:53:54 No.12940064 Report

Quoted By:

Becouse of the uniqueness of prime factorization.

If 1 would be preime, then faggots would say, heh 1 times the number is that numbers too yaaaaaaaaaaaas queeeeeeeeeen

Anonymous

Anonymous Wed 07 Apr 2021 16:54:05 No.12940067 Report

Quoted By: >>12940101 >>12940664

>>12940028
Except the fundamental theorem of arithmetic.

Anonymous

Anonymous Wed 07 Apr 2021 17:04:31 No.12940101 Report

Quoted By:

>>12940067
1 <
here i fixed fta for you

Anonymous

Anonymous Wed 07 Apr 2021 19:11:39 No.12940664 Report

Quoted By: >>12940715

>>12940067

Depressing that the real answer took this long.

Anonymous

Anonymous Wed 07 Apr 2021 19:23:22 No.12940715 Report

Quoted By: >>12940751

>>12940664
that's not a real answer, you can literally just add 1 < to any standard statement of fta

Anonymous

Anonymous Wed 07 Apr 2021 19:28:41 No.12940751 Report

Quoted By: >>12940793

>>12940715

By this poorly described notion I assume you mean "all primes greater than one" (where one is admitted as prime) or similar caveat language, in which case the statement of the theorem is made less elegant so yes, it is a real answer.

Anonymous

Anonymous Wed 07 Apr 2021 19:30:54 No.12940763 Report

Quoted By:

>>12940028
almost every statement involving prime numbers will become false

Anonymous

Anonymous Wed 07 Apr 2021 19:35:19 No.12940793 Report

Quoted By:

>>12940751
for example, take the crandall & pomerance statement of fta:
for each natural number n there is a unique factorization n = (p^a_1)(p^a_2)...(p^a_k) where exponents a_i are positive integers and [ 1 < ] p_1 < p_2 < ... < p_k are primes.

El Cabrón

El Cabrón Wed 07 Apr 2021 19:42:25 No.12940843 Report

Quoted By:

>>12939386
4channel doesn’t exist so stop posting

El Cabrón

El Cabrón Wed 07 Apr 2021 19:44:20 No.12940853 Report

Quoted By:

>>12939311
Because including the multiplicative identity is trivial when factorization of integers is our concern.

El Cabrón

El Cabrón Wed 07 Apr 2021 19:48:07 No.12940877 Report

Quoted By:

>>12939311
>>12940872

Anonymous

Anonymous Wed 07 Apr 2021 19:55:29 No.12940916 Report

Quoted By: >>12941033

>>12939315
1 and -1 both divide 1 while no other number does. Therefore, 1 is prime.

Anonymous

Anonymous Wed 07 Apr 2021 20:02:53 No.12940953 Report

Quoted By:

>>12939375
sorry, he meant everyone who has an opinion on anything concerning mathematics that matters

Anonymous

Anonymous Wed 07 Apr 2021 20:16:52 No.12941033 Report

Quoted By: >>12943143

>>12940916
>-1
>natural number

Anonymous

Anonymous Thu 08 Apr 2021 03:15:09 No.12943143 Report

Quoted By: >>12943779

>>12941033
Who said anything about natural numbers?

Anonymous

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Anonymous Thu 08 Apr 2021 04:59:01 No.12943405 Report

Quoted By:

>>12939311
https://ncatlab.org/nlab/show/too+simple+to+be+simple

Anonymous

Anonymous Thu 08 Apr 2021 05:01:34 No.12943412 Report

Quoted By: >>12943486

>>12939377
>and
That's not what and means, dipshit. >>12939386

El Arcón

El Arcón Thu 08 Apr 2021 05:11:27 No.12943440 Report

Quoted By:

Primes have two and only two integer divisors.

Anonymous

Anonymous Thu 08 Apr 2021 05:17:59 No.12943454 Report

Quoted By:

bc if you make a division by primes, you will ever get times one, so this would make the factorization not unique, and it's just awful, like the other one said about being convenient

Anonymous

Anonymous Thu 08 Apr 2021 05:27:38 No.12943478 Report

Quoted By:

>>12939324
thats how p is defined

Anonymous

Anonymous Thu 08 Apr 2021 05:30:22 No.12943486 Report

Quoted By:

>>12943412
retard

Anonymous

Anonymous Thu 08 Apr 2021 07:09:00 No.12943771 Report

Quoted By: >>12943837

>>12939311
Is Infinity prime?

Anonymous

Anonymous Thu 08 Apr 2021 07:12:24 No.12943779 Report

Quoted By: >>12943903

>>12943143
Mathematicians.

Anonymous

Anonymous Thu 08 Apr 2021 07:26:47 No.12943837 Report

Quoted By:

>>12943771
https://en.wikipedia.org/wiki/Supernatural_number

Anonymous

Anonymous Thu 08 Apr 2021 07:44:47 No.12943903 Report

Quoted By: >>12943995

>>12943779
So you're admitting that a prime number doesn't have exactly two divisors?

Anonymous

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Anonymous Thu 08 Apr 2021 07:58:55 No.12943952 Report

Quoted By:

>>12939311
Prime numbers are the atoms of the divisibility lattice.

https://en.wikipedia.org/wiki/Division_lattice
https://en.wikipedia.org/wiki/Atom_(order_theory)
https://ncatlab.org/nlab/show/atom

Anonymous

Anonymous Thu 08 Apr 2021 08:14:54 No.12943995 Report

Quoted By:

>>12943903
No I said mathematicians said things about natural numbers.

Anonymous

Anonymous Thu 08 Apr 2021 10:48:57 No.12944346 Report

Quoted By:

>>12939381
wut?
I don't get it.
we assume "atoms" to be....
the smallest divisible units of elements....
breaking down beyond this "atom" unit will result in losing that elements chemical properties.

sure, it is a model...
same way our understanding of the universe is "a model"..

Anonymous

Anonymous Thu 08 Apr 2021 10:51:13 No.12944354 Report

Quoted By:

>>12939386
wut?
I don't get it.
we assume "atoms" to be....
the smallest divisible units of elements....
breaking down beyond this "atom" unit will result in losing that elements chemical properties.

sure, it is a model...
same way our understanding of the universe is "a model"..

Anonymous

Anonymous Thu 08 Apr 2021 10:51:15 No.12944355 Report

Quoted By:

>>12939311
1 is the most primary prime number of all.
Think about it all numbers are primary based one 1. Every number can be divided by 1. Every number can be broken down in 1s. Thats how primary it is its father and mother of all numbers ever.

Anonymous

Anonymous Thu 08 Apr 2021 10:57:00 No.12944371 Report

Quoted By:

>>12939311
1 is non-prime because Gauss said so. His reasoning seemed pretty solid to me when I read it, but the true fundamental reason why 1 is defined as non-prime is that Gauss said so and nobody of equal stature has ever come along to refute it

Anonymous

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Anonymous Thu 08 Apr 2021 11:19:27 No.12944414 Report

Quoted By:

>>12939386
>what is matter?
matter is composed of "atoms"
we assume "atoms" to be....
the smallest divisible units of elements....
breaking down beyond this "atom" unit will result in losing that elements chemical properties.

so, matter is what we term "the elements" and are composed of "atoms" that will lose their unique chemical properties if broken down any further.

NB: all other mass, etc is classified as a particles under "particle-physics".

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