(September 4, 2018 at 8:07 am)polymath257 Wrote: Proof? How's this?
Given any finite collection of primes, p_1 ,...,p_n, form the number N=1+p_1 p_2...p_n. Then N has a prime factor, but none of p_1, ...,p_n is such (since they all give a remainder of 1 when divided into N). Hence, there is a prime not in the list.
Conclusion: there are an infinite number of prime integers.
Jesus Christ someone report this shit. Actual proofs belong on Area 69!
"Every luxury has a deep price. Every indulgence, a cosmic cost. Each fiber of pleasure you experience causes equivalent pain somewhere else. This is the first law of emodynamics [sic]. Joy can be neither created nor destroyed. The balance of happiness is constant.
Fact: Every time you eat a bite of cake, someone gets horsewhipped.
Facter: Every time two people kiss, an orphanage collapses.
Factest: Every time a baby is born, an innocent animal is severely mocked for its physical appearance. Don't be a pleasure hog. Your every smile is a dagger. Happiness is murder.
Vote "yes" on Proposition 1321. Think of some kids. Some kids."
Fact: Every time you eat a bite of cake, someone gets horsewhipped.
Facter: Every time two people kiss, an orphanage collapses.
Factest: Every time a baby is born, an innocent animal is severely mocked for its physical appearance. Don't be a pleasure hog. Your every smile is a dagger. Happiness is murder.
Vote "yes" on Proposition 1321. Think of some kids. Some kids."
