For any real $x$, the most common difference that occurs among the
consecutive primes less than or equal to $x$ is called a jumping champion. This
term was introduced by J. H. Conway in 1993. There are occasionally ties.
Therefore there can be more than one jumping champion for a given $x$. The
first, but short-lived, jumping champion is 1. Aside from the numerical
studies, nothing else has been proved for other jumping champions as $x$
increases. In 1999 A. Odlyzko, M. Rubinstein, and M.