As J-J indicates, the Foreign & Commonwealth Office website is an excellent source of information.
For a 'belt & braces' way of seeking information about entry requirements though, I also like to consult the the appropriate website of the relevant national government (which could be their official tourist office or, more usually, their embassy or consulate). In this case, the website of Egyptian consulate in London states:
"Nationals from UK, EU and USA travelling to Sharm El Sheikh, Dahab, Nuweiba and Taba resorts ONLY, for a maximum of 14 DAYS, do not require a visa prior to travelling as a free entry permission stamp will be granted upon arrival. If they intend to travel outside of the above mentioned areas they MUST obtain a Visa"
http://www.egyptianconsulate.co.uk/visas.php