It’s about ** the computation of the first occurrence of gaps between consecutive prime numbers** and is part of a wider effort researching aspects of Goldbach’s conjecture, one of the oldest and best-known unsolved problems in number theory - and all of mathematics.

Goldbach’s conjecture in modern form is “every even number larger than four is the sum of two odd prime numbers”. The conjecture has been shown to hold for all integers less than $4\; \xb7\; 1018$ but remains unproven despite considerable effort.

The computation of the first occurrence of prime gaps of a given (even) size between consecutive primes has some theoretical interest. Richard Guy (Erdős number 1) assigns this as problem A8 (“A8 Gaps between primes. Twin primes”) in chapter 1 (“Prime Numbers”) of his book “Unsolved Problems in Number Theory”. Guy’s description of A8 is usefully available to read online at Google books (scroll down to p31).