ZCubes/Twin Primes & Bruns Theorem

Twin Primes & Bruns Theorem

Twin primes are prime numbers separated by 2. Viggo Bruns theorem states that sum of reciprocals of twin primes is convergent. This video demonstrates how to test this theorem, using ZCubes. You will observe that the computation is simple and easy in ZCubes, as it takes only 4 lines of code.

Video

Twin Primes & Bruns Theorem

Code

 ps=PRIMES(1000)
    .filter((x,i,d)=>d[i]-d[i-1]==2)
    .$("[x-2,x]")

ps.map(r=>1/r[0]+1/r[1])~

 ps=PRIMES(10000)
    .filter((x,i,d)=>d[i]-d[i-1]==2)
    .$("[x-2,x]")