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/sci/ - Science & Math

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6936757 No.6936757 [Reply] [Original]

Could someone give me a hint for my algebra homework:

Prove that every even integer greater than 2 can be expressed as the sum of two primes.

>> No.6936759

It follows from the Barnett prime number theorem.

>> No.6936762

>>6936757
The result is really not trivial, I'm surprised it was given as homework. As far as I know the result requires analytical number theory, specifically a generalization of the Barnett triple integral. Has it really been done with elementary means?

>> No.6936772

>>6936762
Jokes on you. By "algebra" I meant my graduate level course on quantum Barnett algebras.

>> No.6936776

No problem OP

Solution: about tree fiddy

>> No.6936783

>>6936762
I can use every known mathematical theorem.
Could you just explain me how to prove this claim with Barnett triple integrals?

>> No.6936784

>>6936757
Counter example, 3.
Done.

>> No.6936787
File: 77 KB, 407x405, I-can-count-to-potato[1].jpg [View same] [iqdb] [saucenao] [google]
6936787

>>6936784
>3
>even integer

>> No.6936788

>>6936784
>3 is even

>> No.6936793

counter example: 9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9+1234567

done

>> No.6936794

>>6936757
Proof by contradiction:

3 can only be expressed as the sum of 2 and 1.

1 is not a prime number.

Therefore, not all integers greater than 2 can be expressed as a sum of 2 primes.

QED

>> No.6936800

>>6936794
see >>6936787

>> No.6936801

>>6936757
I have a truly marvelous proof for which this post is simply too small to contain.

>> No.6936814

4.

>implying 1 is a prime number

where is my million dollar prize faggots? tao aint got shit on this

>> No.6936821

>>6936814
2+2?

>> No.6936825

>>6936814
Let me restate that. The goldbach conjecture is wrong

4 is an even number and no two prime numbers can sum to it.

give prize pls faber and faber

>> No.6936840
File: 41 KB, 400x400, 1413943528614.jpg [View same] [iqdb] [saucenao] [google]
6936840

>>6936825
>what is 2+2

>> No.6936856

>>6936840
2 is no prime number cause it's even douchebag

>> No.6936859

>>6936757
21?

>> No.6936861

>>6936859
Is not even.

>> No.6936862
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6936862

>>6936856
>being this mad about being wrong

2 is a prime number, maybe study a little bit before running to /sci/ for help with your homework.