[LMB] OT: Primes (was Re: The Last Malice)

Parish, James jparish at siue.edu
Wed Dec 18 01:11:01 GMT 2019


James M. BRYANT G4CLF wrote:

> It is possible to prove that there
> is no last (i.e. greatest) prime
> number. [Be careful or I will.]


I *am* a mathematician, and I know at least three different proofs. My 
favorite is Dirichlet's: if there were finitely many primes, the 
harmonic series Sum[1/n, n = 1, ...] would converge. (It's nice because 
it generalizes to various subsets of the primes as well.)

Jim Parish



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