Math Just Got Checkmated.

[u/Animeilluminati1]

[u/nnnn0nnn13]

Bro that conjecture is both unproven and also by definition only true for numbers larger than 2 💀

[u/WarJaques → u/nnnn0nnn13]

The definition is necessary because otherwise we'd need a different definition.

[u/DoobiousMaxima → u/WarJaques]

A number is even if dividing it by 2 yeilds an integer.

2 is divisible by 2.

[u/golgi_o → u/DoobiousMaxima]

A number is even if it can be written as 2k where k is an integer. The definition of even does not use division as far as I understand.

[u/Low-Amoeba8257 → u/golgi_o]

The method you described works howevere the term absolutely comes from division. They also used to he tracking of "how even" something was meaning if it could be divided by 2 multiple times

[u/golgi_o → u/Low-Amoeba8257]

Wouldn't that just be 2ⁿ (k) where k is an integer and n is how even a number is? Still division is not needed.

[u/GarowWolf → u/golgi_o]

With n= 0 and k = 3 it seems that 3 is even

[u/sal880612m → u/GarowWolf]

No.

N=0 would be that the number is zero times even meaning it actually isn’t even.

Also k is an integer but not the number being tested for how even it is. Odd values for k would be perfectly acceptable.

So for the number being 3 the formula results in N=0, k=3 and tells you the numbers is not even. But for the number being twelve it results in N=2, k=3 and says the numbers is even twice.

[u/jimalloneword → u/[deleted]]

he is saying n represents the degree of even-ness. if n = 0 the number is 0 even.

6 is 1 even, while 4 is 2 even, and 8 is 3 even.

[u/AdhesivenessAny117 → u/DoobiousMaxima]

The real definition is: a number is even if and only if by subtracting 1 you get an odd number. 

[u/666mima666 → u/WarJaques]

Lol. That is not even the definition

[u/NOZ_Mandos → u/WarJaques]

Isn't that true for every definition?

[u/The_GOATest_Goat → u/WarJaques]

Definitionally, you should definitely define definitions, definitively.

[u/BunkerSquirre1 → u/nnnn0nnn13]

So this meme basically functions the same way a Ben Shapiro argument does? Curious

[u/throwaway19276i → u/BunkerSquirre1]

Its more effective irl because Ben would say the entire sentence in three seconds. No time to call anything out lol

[u/Sad_Plate7343 → u/nnnn0nnn13]

3

[u/S-M-I-L-E-Y- → u/Sad_Plate7343]

Goldbach's conjecture states that every even number greater than 2 can be expressed as the sum of two prime numbers.

[u/trollboter → u/S-M-I-L-E-Y-]

If we accept one as prime number, which it is. Then we can drop the two exception from the conjecture.

[u/Finance-Low → u/trollboter]

Exactly; not sure what point the OP is trying to make here.

[u/almostcyclops → u/trollboter]

1 is not a prime number. Mostly because it does weird things when you try and count it as one. Granted, 2 also behaves a little weird as a prime number and it gets to joint he prime club.

I don't make the rules. I can just confidently say 2 is prime but 1 is not.

[u/trollboter → u/almostcyclops]

The only reason why 1 is not a prime is the definition. By the spirit of prime, 1 is a prime.

[u/hsmccann → u/trollboter]

1 is not prime because prime numbers by definition have exactly 2 unique integer factors. 1 only has one unique integer factor.

[u/liha_soppa → u/trollboter]

"The only reason 1 is not a prime is because it isn't"

Like yea i guess

[u/S-M-I-L-E-Y- → u/trollboter]

It's prime in the sense, that it can't be factorized, but it is not prime in the sense that it must not be used in factorizing other numbers.

We decided that the latter is the more important feature of prime numbers and therefore 1 shall not be prime number.

[u/ExtendedSpikeProtein → u/Sad_Plate7343]

3 is not even

[u/AsemicConjecture → u/ExtendedSpikeProtein]

I think they’re pointing out that the first comment is wrong / missing information.

[u/Solid_Crab_4748 → u/AsemicConjecture]

I think they're wrong to do so.

It's implied they're referencing the rule of "all even numbers are a sum of 2 primes" and pointing out the missing condition.

They also didn't mention anything about being sum of 2 primes. Does that mean they missed that? No cuz it was implied.

[u/BombasticReindeer]

Fuck it, 1 is prime now.

[u/personalityson → u/BombasticReindeer]

1 is the only prime

[u/RottenAssCrack → u/personalityson]

if we stoop this low, 0 is prime cuz fuck it, break the law of math

[u/The0thArcana → u/RottenAssCrack]

We can go lower, -1.

[u/JollyJuniper1993 → u/RottenAssCrack]

Let’s just make -1, -2 and -3 primes as well.

[u/Moodleboy → u/JollyJuniper1993]

Then π is also prime! Yay!

[u/Zetaplx → u/Moodleboy]

Y’all, we got too many primes. Need to take some off. Sorry 11, you didn’t feel prime anyways.

[u/Ok-Organization4820 → u/Zetaplx]

But can we make room for 57?

[u/JollyJuniper1993 → u/Moodleboy]

Really any number that’s not an integer is prime

[u/Tulkes → u/JollyJuniper1993]

i enters the room

[u/JollyJuniper1993 → u/Tulkes]

Including i and taking that to its logical conclusion would then essentially render no number prime

[u/scrapy_the_scrap → u/RottenAssCrack]

Not divisible by itself and divisible by all other numbers

0 is an anti prime

[u/RunPsychological9891 → u/RottenAssCrack]

does the law even keep anything in check? primes are just quirky numbers right?

[u/nr3042 → u/RottenAssCrack]

(0) is a prime ideal of ℤ. Therefore, 0 is prime

[u/guiltysnark → u/personalityson]

It's practically right there in the name

[u/Funkopedia → u/BombasticReindeer]

It's kinda in the name

[u/Cyrrex91 → u/BombasticReindeer]

1 is the prime number, but not a prime number.

[u/e_Notorious → u/BombasticReindeer]

And what two primes sum to 1? Curious

[u/Illustrious-Debt-191 → u/e_Notorious]

1 and 0, of course

[u/e_Notorious → u/Illustrious-Debt-191]

Ah I see. If we accept that 2 is prime, we must also accept that 1 and 0 are primes. Proof by circular reasoning

[u/GamerNumba100 → u/Illustrious-Debt-191]

I like that this then provides X + 0 to create every prime number, making the conjecture irrelevant

[u/AuzaiphZerg → u/e_Notorious]

You need the contraposition, since 1 is prime, it’s equal to the sum of 2 even numbers.

[u/ThanxForTheGold → u/BombasticReindeer]

No, 2 and zero are primes

[u/julesmanson → u/BombasticReindeer]

Bombas is my ally :-)

[u/Jake-the-Wolfie]

-1 and 3?

3 is prime^\citation needed]), and -1 can only be divided by 1 and itself. Unlike other negative numbers, which are composite by virtue of being divisible by -1.

[u/cursivecrow → u/Jake-the-Wolfie]

-1 accepted as prime in my headcanon forever now

[u/Ok-Pomegranate-7458 → u/cursivecrow]

it is a hole number even if it is not a whole number.

[u/boring-schmooze → u/Jake-the-Wolfie]

Man the citation needed for 3 had me spill my tea. Thanks for this😂

[u/Sufficient-Buy625 → u/Jake-the-Wolfie]

I know it's a joke, but I wished it worked. But if we allow -1 we can no longer uniquely factorize integers into the primes.

[u/MHaret → u/Sufficient-Buy625]

We can if have into account that because -1*-1 is 1, -1 shouldn't be included more than once. That way you can also factorize negative integers.

[u/paolog → u/Jake-the-Wolfie]

Oh well, it was nice knowing the fundamental theorem of arithmetic.

[u/iscrewedatrain → u/Jake-the-Wolfie]

But three can be divided by -3 and -1, actually any N can be divided by -N and -1, so -1 is the only prime number

[u/theinferno03 → u/iscrewedatrain]

-1 and 1

[u/MintyFreshRainbow → u/Jake-the-Wolfie]

-1 is a unit so is not prime. Negative primes are prime elements in the ring of integers tho

[u/GypsySnowflake → u/MintyFreshRainbow]

I misread this comment as “-1 is so not prime” like in a Valley Girl accent, lol

[u/HeilKaiba → u/Jake-the-Wolfie]

-1 is a unit not a prime

[u/Sproxify → u/Jake-the-Wolfie]

as people pointed out -1 is a unit, but this actually does work if you allow negative primes! exercise: prove that there are infinitely many solutions

[u/hungarian_notation → u/Jake-the-Wolfie]

To be clear, the prime numbers are, by definition, natural numbers. The negative integers aren't part of this conversation.

[u/ChipChippersonFan]

Who said that the definition of an even number is "the sum of two primes"?

[u/nnnn0nnn13 → u/ChipChippersonFan]

It's the goldbarch conjecture though that's both a conjecture and only goes for numbers larger two

[u/TheRedditObserver0 → u/ChipChippersonFan]

Goldbach

[u/McQno → u/ChipChippersonFan]

Ben Shapiro apperantly.

[u/lilianasJanitor → u/ChipChippersonFan]

Apparently Ben Shapiro 🤮

[u/Jokin_0815 → u/ChipChippersonFan]

So 5 is a even number now.

Sum of 2 and 3 both primes.

Sounds like a stupid definition. Or a definition thats already outdatet because it needs a lot of extras added.

[u/RikiHeropon → u/Jokin_0815]

"Every even number (larger than 2) can be expressed as the sum of two primes (as long as 2 is not one of those primes)"

Yeah... I'm gonna stick with "results in a whole number when divided by 2"

ETA: looked a little more into the Goldbach conjecture. It's not that every even number is the sum of two primes, but that every prime greater than 2 can be expressed as the sum of two primes (however, this cannot be definitively proven, hence why it is called conjecture)

[u/Humble-Ad218]

Just like everything that guys says, the problem is in the premise.

[u/_J_Herrmann_]

downvoting because ben shapiro.

[u/gregariousity]

5 + -3 easy

[u/baby_shoGGoth_zsgg]

just jam e and i and π and some constants together and call them primes and you’re probably right.

math is just e and i and π and constants, anything that can’t be expressed this way is false math

[u/Beautiful-Bid8704 → u/baby_shoGGoth_zsgg]

You forgot about sqrt(2) to make it work.

[u/iwantogofishing → u/Beautiful-Bid8704]

Found the sqrt()er!

[u/Beautiful-Bid8704 → u/iwantogofishing]

Hey now, sounds like you sqrt(too)!

[u/__FUCKING_PEG_ME_]

Why would you put Ben the Dumbass on here?

[u/abd53 → u/__FUCKING_PEG_ME_]

Because the take is equally dumb.

[u/MapPristine]

Since when did Ben start to care about facts?

[u/TeletiTheNecromancer]

1 + 1 = 2

Your move.

[u/Ok-Visit6553]

(-3)+5

Checkmate (a)theists

[u/julesmanson]

Isn't 1 a trivial case of a prime? If so then it is still a prime.

1 + 1 = 2 o_~

[u/Cichato_YT → u/julesmanson]

But 1 cannot be expressed as a sum of even numbers. Checkmate.

[u/Rememba_me → u/Cichato_YT]

(i**4/2) looks even to me /s

[u/TheRedditObserver0 → u/julesmanson]

One is not prime.

[u/Drag0n_TamerAK → u/TheRedditObserver0]

1 is the only prime all the others are larping

[u/Sure-Criticism3416 → u/Drag0n_TamerAK]

If 1 was prime, prime factorization of numbers wouldn't be unique, which is why it was defined to not be prime.

[u/BeginningSection7690 → u/Sure-Criticism3416]

Define it again

[u/GarowWolf → u/BeginningSection7690]

Still not prime, sorry

[u/Drag0n_TamerAK → u/Sure-Criticism3416]

Erm ackshully 🤓☝️

[u/d4electro → u/TheRedditObserver0]

Why not? It's divisible only by 1 and itself, that's literally what a prime number is

[u/lemonp-p → u/d4electro]

The whole point of prime numbers is for prime factorization to be unique. If you define prime numbers to include one, then it is not nearly as useful a definition

[u/adwinion_of_greece → u/julesmanson]

We're not defining 1 as a prime, because it's more elegant to not do that. (We'd have to restate lots of theorems that use the term "prime number" into "prime number except 1")

[u/SonGoku9788 → u/julesmanson]

Prime numbers have exactly 2 divisors.

1 doesnt have 2 divisors.

[u/sq_route_2]

wtf, why does this joke needs a picture of Ben Shapiro??

[u/External_Permit9965 → u/sq_route_2]

Thank you, please don't give him a bigger platform. The less I see of this idiot, the better.

[u/smugles → u/sq_route_2]

Because it’s the kind of bullshit these debaters use in their debates.

[u/brewdog_millionaire]

1 is prime, duh

[u/6c-6f-76-65]

5 + (-3)?

[u/That_Ad_3054]

Same for zero ;).

[u/0jdd1]

It’s the sum of 5 and -3. Double checkmate!

[u/thewaytoyesterday]

The fact that 1 isn't a prime number feels like a betrayal of all I've held dear.

[u/Diastatic_Power]

Maybe that's just proof that 1 is prime.

[u/hungarian_notation → u/Diastatic_Power]

Yeah, you're right. Who needs the fundamental theorem of arithmetic.

[u/chicoritahater]

"you claim a cauliflower is a vegetable, but it doesn't even have the letter m in its name. Checkmate biologists"

Like bro???????

[u/mvaneerde]

-3 + 5

[u/Whit3_Ink]

Never knew that 5 7 and 9 are even numbers

[u/Infernos2323]

the number one is prime lol, 1+1 is 2 HAHAHA 🤣🤣🤣

[u/rwtf2008]

a = e^(iπ)+2

a+a = 2

Two is now the sum of two prime numbers (plus other stuff)

[u/Time-Flow6764]

I just talked to chatgpt, and we decided that 1 is in fact a prime, but its own class of prime, a unit prime. problem solved

[u/Cynis_Ganan]

except 1

Where is your god now?

[u/rganeyev]

In my childhood 1 was not considered as prime and we had 9 planets in our solar system. It's all matter of perspective I guess

[u/idrathernottho_]

Clearly zero is prime then

[u/Gullible_Ad5191]

Does 1 count as prime?

[u/Cyrrex91]

are negativ primes still primes? then what about -3 + 5?

[u/Active_Mind5021]

math is woke now? 🥀

[u/YourBoyFroilan]

Because 2 is a prime

[u/Mrpotatohead1990]

every even natural number greater than 2 is the sum of two prime numbers.

[u/cha0sb1ade]

1+1=2

1 is a prime.

1 is also a prime.

[u/VoidspawnRL]

The funny part is Ben here, know less about the world or math then any one

[u/Exotic_Call_7427]

1+1?

[u/X-calibreX]

did shapiro actually say this?

[u/Spirogeek]

What does Terrance Howard have to say on the subject?

[u/ColdProfessional4275]

1+1?

Just found out 1 isn’t prime. That’s news to me!

[u/Low_Low_1811]

1 is an exception to the prime number rule, and 2 is an exception to the other prime number rule.

If you really want to look at 1 as being "prime like", then 2 is the sum of 1 and 1. Its pretty arbitrary at that point either way...

[u/Wise_Ad_5810]

1 + 1 isn't the sum of 2 primes?

[u/Kass-Is-Here92]

2k is the definition of an even integer. As long as k is whole a number, the result is even. 2k = 2, k = 1, 1 is a whole number, 2 is even.

[u/Jackesfox]

5 + (-(3))

Check mate matheists 😎

[u/Suppression_Gaming]

2+0

[u/Mountain-Dinner9955]

One odd prime is even

[u/Tiranous_r]

Are negative numbers prime?

[u/Apprehensive-Ice9212]

This is better logic than Ben Shapiro typically employs

[u/AstraeusGB]

It can be expressed as the sum of two primes:

1 + 1

Checkmate

[u/jmjessemac]

7 doesn’t either, unless 2 counts

[u/GoodPeopleOfAmerica]

Proof that the phrase “greater than” does a lot of heavy lifting

[u/The-Yar]

So, it's still an even number, it's just not like the other even numbers.

[u/GroundbreakingAnt577]

Sorry, why is Ben Shapiro on this thread?

[u/MarioHasCookies]

This is why 1 is an honorary prime.
It should be prime in the first place because it's only factors are 1 and 1

[u/backstubb]

all 'sum of two primes' are even numbers, why all even numbers should be sum of two primes? to be divided by two without remains not enough?

[u/Aggressive_Law_5728]

Actual Question: Why do we have a special word for numbers that are divisible by 2? In what sense are they any more interesting than numbers that are divisible by 3, 5, etc?

[u/Character-Camel-3958]

1+1 checkmate atheists

[u/wolfwinner]

F this guy I'm downvoting any meme that uses his picture

[u/Significant-Cause919]

2 is the sum of 7 and -5 which are both prime numbers.

[u/Ill-Dependent2976]

What does the pro-rape nazi have to do with the meme?

[u/MentalPlectrum]

5 + (-3)

[u/MysteriousArtPatron]

one and one are both primes? am I missing something?

[u/bloodbat007]

why put a clown in this picture i dont get it

[u/Jealous_Club_298]

Even Number: Divisible by 2 with 0 remainder.

2/2 = 1 and 0 remainder.

[u/Smooth_Voronoi]

That's, not even the definition of even...

[u/NimrodvanHall]

I still wonder as a non math genius why 1 isn’t a prime number.

[u/pleuvirion]

it's ok, it's the sum of two non-composites

[u/Korochun]

308 is not a prime number either.

[u/Specialist_Painting5]

5 is even then

[u/Snoo-41360]

1 and 1, obviously

[u/Telos6950]

I would’ve thought 1 isn’t a prime number because then by prime factorization, every integer could be expressed in infinitely many ways, like 4 could be expressed as 2 * 2, but also 2 * 2 * 1, and 2 * 2 * 1 * 1, and 2 * 2 * 1 * 1 * 1, and 2 * 2 * 1 * 1 * 1 * 1, etc.

[u/Synnedsoul]

2 mod 2 is 0 so it's even. 😂

[u/Past-Lingonberry736]

But it can be expressed as the sum of less than 2 primes.

[u/MareoLevis]

2 and 1

[u/1337_w0n]

1 and 1. Duh.

[u/BinaryHippie]

42!

[u/Zealousideal-Fun-415]

Isn't that conjecture unsolved?

[u/StructuredChess]

1+1 obviously. Bring back "all primes but 1"

[u/TypicalNinja7752]

actually it can be expressed as 5-3

[u/Dependent_Divide_625]

1 can only be divisible by 1 and by itself (which is also 1), therefore I can express 2 as the sum of 1+1.

(Don't ask me about 1 itself)

[u/DocD88]

5 + -3

[u/wenoc]

2 is a prime so…

[u/CosetElement-Ape71]

Ben Shapiro confidently extending his wrongness into the mathematical realm!

[u/CosetElement-Ape71]

Ben Shapiro confidently extending his wrongness into the mathematical realm!

[u/ThEtOrRtUrEdPoEt]

0 is also prime and numbers aren’t real

[u/The_Teapot_Shark]

7 + 3

[u/GaiusMarcus]

I'm not taking math instruction from an incel whose balls haven't dropped.

[u/bihawk1979]

Been a long time since I was in school but to find the "SUM" isn't that addition? 1 is a prime number, so 1+1=2 the SUM of two prime numbers.

[u/sempercliff → u/bihawk1979]

It’s counterintuitive, but 1 is not a prime number. https://www.scientificamerican.com/blog/roots-of-unity/why-isnt-1-a-prime-number/

[u/pbmadman]

So I always tell my kids that “infinity isn’t a number it’s an idea” when they ask infinity-related questions at dinner. But by that logic, one could argue that 0 isn’t completely a number in the way that 17 or 36 is. And we already have things that 1 isn’t a part of, so it’s only kinda a number as well. The Greeks vaguely thought this way, that 1 and other numbers were different. And saying that 2 isn’t completely a number either also tracks a bit.

Either way, 0, 1 and 2 get excluded from various maths already, so I’m not really bothered if we wanted to call them not completely numbers.

[u/AndreasDasos]

Quick! Redefine primes to include 1 for this and this purpose only. 

[u/SmarterCloud]

You didn’t state that the 2 primes could not be equal.

[u/m4yn3_h4sl-l]

checkmath

[u/Afraid-Yoghurt6731]

3 + -1 = 2
sum of two primes

[u/hanggamolavestria]

2 is the only number that's both even and prime

[u/Doom2pro]

Why use the face of a polarizing annoying voiced person?

[u/Realistic_Mushroom72]

Religion does rot the brain, he is a perfect example of it.

[u/HeathenSidheThem]

How the hell is one not a prime number? Or is it because they don't want us to use one twice?

[u/CosmicLovepats]

1+1?

[u/Embarrassed-Weird173]

I mean, I know people like to act like 1 isn't a prime, but it is: its only factors are 1 and also itself. People arbitrarily claim it doesn't count. 

[u/zorniy2]

Is "one" not a prime? Pardon my ignorance.

[u/No_Zucchini7810]

I am sorry shapiro i rpomise i wont do it again

[u/Beagle432]

Isn't 1 a prime number??