We normally think of mathematics underlying and driving ideas in physics... In this interesting 2006 article (focused around a chance 1972 meeting between Freeman Dyson and number theorist Hugh Montgomery) Marcus du Sautoy writes of how ideas from quantum physics may underlie and help deepen our understanding of prime numbers:
http://seedmagazine.com/content/article/prime_numbers_get_hitched/
Speaking of du Sautoy, you may wish to check out his website for "The Story of Maths" series he did for the BBC:
http://www.open2.net/storyofmaths/index.html
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