View source for ZCubes/Prime Numbers Twins, Cousins, Sexy Primes

==Prime Numbers, Twin Primes, Cousins, Sexy Primes==
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This video demonstrates the computations of special prime numbers using ZCubes. Twin primes are prime numbers separated by two. Cousin primes are prime numbers separated by 4 and sexy primes are separated by six. Using ZCubes you can generate these primes or create functions to generate prime numbers with any gap. You can then do further analysis,

==Video==
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{{#ev:youtube|pOMlG-FG4T4|480|left|Prime Numbers Twins, Cousins, Sexy Primes}}
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==Code==
 PRIMES(100)
  .map(
      (x,i,d)=>
          [
            i
            d[i],
            d.slice(0,i),
             (i>0?d[i]|-|d.slice(0,i):[])
           ]
        )

 gap=4
 PRIMES(100)//0)
     .filter(
         (x,i,d)=>
            (i>0?d[i]|-|d.slice(0,i):[])
                .include(gap)
             )
      .$(x=>[x-gap,x])  

  function primeswithgap(gap,till)
 {
     till=till||100;
     var  ret=
          PRIMES(till)//0)
     .filter(
        (x,i,d)=>
        ((i>0?(d[i]|-|d.slice(0,i):[])
          .include(gap))
      )
     .$(x=>[[x-gap,x]])
      return([ret ~])
              }

 [2..10..2,100]@primeswithgap
 [2..10..2,1000]@primeswithgap
 res=[2..30..2,1000]@primeswithgap;
 res[3]




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