This website ranks the top 5 first occurrence prime gaps by: gap/(ln(p1))^2 in

accordance with Cramer's conjecture (gap<ln^2, Acta Arith.2(1936)

pp.23-46) using current data (July 1, 2010) from Thomas R. Nicely,

trnicely@trnicely.net.

Rank           P1                              P2                   Gap     Ln    gap/ln^2

  1       1693182318746371      1693182318747503   1132  35.07  0.9206

  2   804212830686677669    804212830686679111  1442  41.23  0.8483

  3  1425172824437699411  1425172824437700887  1476  41.80  0.8447

  4   418032645936712127    418032645936713497   1370  40.57  0.8322   

  5        218209405436543         218209405437449     906  33.02  0.8311