Return Styles: Pseud0ch, Terminal, Valhalla, NES, Geocities, Blue Moon. Entire thread

Quick problem for anon

Name: Anonymous 2007-11-30 18:23

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

Name: Anonymous 2007-12-06 12:31

>>22
Oh my god you're stupid.
Suppose the first statement is true. Then every even integer greater than 4 (EXCLUSIVE greater than) can be written as the sum of two primes. Suppose one of these primes is 2. Then the other prime must also be even, meaning it must also be 2, meaning the sum is 2+2 = 4. Obviously 4 isn't greater than 4, so we conclude that neither of the primes in the sum is 2. Thus every even number greater than 4 (EXCLUSIVE greater than) can be written as the sum of two primes greater than or equal to 3, as every prime other than 2 is greater than or equal to 3.

Suppose the second statement is true. We can break the OP's statement into two parts. First, 4 can be written as a sum of two primes, specifically 2+2. Second, any even integer greater than 4 can be written as a sum of two primes by the assumption that the second statement is true. Thus the OP's statement is true.

Statement 1 <=> Statement 2.

gb2/middleschool/.

Newer Posts
Don't change these.
Name: Email:
Entire Thread Thread List