# ZCubes/Prime Numbers Twins, Cousins, Sexy Primes

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## Prime Numbers, Twin Primes, Cousins, Sexy Primes

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

Prime Numbers Twins, Cousins, Sexy Primes

## 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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