ZCubes/Twin Primes & Bruns Theorem

From ZCubes Wiki
Revision as of 02:41, 19 March 2020 by Devika (talk | contribs)
Jump to navigation Jump to search

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]")

<< Learn ZCubes
© Copyright 1996-2020, ZCubes, Inc.