I run 32-bit Linux but there is a very vocal group of people who really want 64-bit Linux support for Flash Player. Today there is a decent work around for running the 32-bit Flash Player on a 64-bit Linux system using the [nspluginwrapper][1]. From what I've heard it works fairly well on most distro's but I haven't heard yet how well it works with the [new Flash Player 10 beta][2]. Despite this potential work around eventually Adobe does need to natively support 64-bit Linux - and they will. This is not as simple as a recompile - otherwise there would be 64-bit support today. There is [a bug already filed][3] in the public Flash Player bug database for 64-bit support. I'd encourage you to not just go vote for that bug but also to get involved. As [Tinic Uro][4] points out in the bug comments, the missing piece for 64-bit support is open source - so you can help! Flash Player uses the open source [Mozilla Tamarin VM][5]. This VM does not yet support 64-bit Linux because all that machine code generation in the JIT compiler needs to be ported from 32-bit to 64-bit. The code is in [Mozilla's Tamarin Central Mercurial repo][6]. This IS open source! You can help get 64-bit Linux support for Flash Player!

 [1]: http://gwenole.beauchesne.info/en/projects/nspluginwrapper
 [2]: http://labs.adobe.com/technologies/flashplayer10/
 [3]: https://bugs.adobe.com/jira/browse/FP-37
 [4]: http://www.kaourantin.net/
 [5]: http://www.mozilla.org/projects/tamarin/
 [6]: http://hg.mozilla.org/tamarin-central/