Longest MLB Scoreless Inning Streaks

What is the longest all-time scoreless inning streak?

Orel Hershiser has the longest scoreless inning streak in MLB history at 59 consecutive scoreless innings, from Aug 30, 1988 to Sep 28, 1988.

Longest Scoreless Inning Streaks Since 2000

What is the longest scoreless inning streak since 2000?

Zack Greinke has the longest scoreless inning streak since 2000, with 45.2 consecutive scoreless innings from Jun 18, 2015 to Jul 26, 2015.

Note: A scoreless inning streak counts the most consecutive innings a pitcher has thrown without being charged with a run. Streaks can span across games and include partial innings (e.g., a pitcher entering with one out remaining and recording it as part of a longer streak). Note that theoretically a relief pitcher can allow an inherited runner to score during a "scoreless" inning streak, the run (earned or unearned) must be charged to the specific pitcher to end a scoreless inning streak.