Editing 622: Haiku Proof
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:If we suppose that there are a finite number of primes, then they must have a product, i.e. ''p''<sub>1</sub>''p''<sub>2</sub>...''p''<sub>n</sub> = ''q''. Now consider ''q'' + 1. If this number is prime itself, then we have discovered a new prime number, contrary to the assumption that we had listed them all. If it is not prime, it must have a prime divisor. Since all of the ''p''<sub>k</sub> are a factor of ''q'', they cannot be a divisor of ''q'' + 1. So ''q'' + 1 is divisible by a prime not on the list, which again is a contradiction. Therefore, there must be infinitely many primes. | :If we suppose that there are a finite number of primes, then they must have a product, i.e. ''p''<sub>1</sub>''p''<sub>2</sub>...''p''<sub>n</sub> = ''q''. Now consider ''q'' + 1. If this number is prime itself, then we have discovered a new prime number, contrary to the assumption that we had listed them all. If it is not prime, it must have a prime divisor. Since all of the ''p''<sub>k</sub> are a factor of ''q'', they cannot be a divisor of ''q'' + 1. So ''q'' + 1 is divisible by a prime not on the list, which again is a contradiction. Therefore, there must be infinitely many primes. | ||
| β | At the last line of the haiku, [[Miss Lenhart]] says "Q.E.D., bitches!", Q.E.D. stands for "Quod Erat Demonstrandum", | + | At the last line of the haiku, [[Miss Lenhart]] says "Q.E.D., bitches!", Q.E.D. stands for "Quod Erat Demonstrandum", a latin phrase which is used to show a proof is over. Ironically, the proof is not complete. |
The comic essentially takes this proof and states it in the form of a {{w|haiku}}, which is a traditional form of Japanese poetry, which is in Japanese broken up into patterns of {{w|morae}} (or {{w|syllables}}), a unit that measures the length of sound. A Japanese haiku consists of three lines with 5, 7 and 5 morae respectively per line. An English Haiku has 5, 7 and 5 syllables per line. The proof poem goes like this: | The comic essentially takes this proof and states it in the form of a {{w|haiku}}, which is a traditional form of Japanese poetry, which is in Japanese broken up into patterns of {{w|morae}} (or {{w|syllables}}), a unit that measures the length of sound. A Japanese haiku consists of three lines with 5, 7 and 5 morae respectively per line. An English Haiku has 5, 7 and 5 syllables per line. The proof poem goes like this: | ||
