Done in mathematica

#$3$

Use functional programming to write a function that generates a list of twin prime pairs. The input should be a positive integer $n$ and the output should be a list of all twin prime pairs

such that the first number in any pair is no larger than the $n^{th}$ prime number. Also, whenever a prime and the next prime is NOT a twin prime pair, a $0$ should appear in the output list.

For example, an input of $n=10$ should generate the list $\{0,\{3,5\},\{5,7\},0,\{11,13\},0,\{17,19\},0,0,\{29,31\}\}$ as the output, and an input of $n=11$ should generate $,$

$\{17,19\},0,0,\{29,31\},0.$ Notice that $29$ is the $10$ th prime number.

Hint: This is quite short if you use Prime and NextPrime.