I've been asking myself whether to signal this to you or not, since there's not a lot mathematics in it - but since you already posted it, I should certainly contribute.
The title refers to twin primes, primes numbers that differ by two (such as 11 and 13): according to one of the characters, the two of them are like twin primes, "near but not enough to touch each other".
Apart from this metaphor, there are a few passing references to the work, and some stray thoughts, of the mathematics-savvy character. Not very much.
You may not like the fact that the male character is a typical anti-social mathematician, clueless about anything that's not his work. Redeeming qualities may be that the character's traumatic childhood is well exposed, thus providing a realistic explanation for his personality, and that his fellow mathematicians are perfectly normal people (though none of them nearly as brilliant as him).