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'''Sexy primes''' are pairs of [[prime numbers]] which differ in value by six, for example, 5 and 11 are sexy primes as they are both prime numbers and the difference between then is 6. The term comes from the Latin root word ''sex'', meaning ''six''. Sexy primes are often written algebraically in the form (p, p+6). The largest known pair of sexy primes have 10154 digits.
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A place where nobody dared to go
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The love that we came to know
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They call it Xanadu
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Groups of consecutive sexy primes are known as sexy constellations. A sexy triplet contains prime numbers in the form (p, p+6, p+12), for example (17, 23, 29). The numbers making up the largest known sexy triplet contain 5132 digits. Sexy quadruplets are those containing four prime numbers in the form (p, p+6, p+12, p+18), for example (41, 47, 53, 59), the first number of which must end in a 1. The largest known sexy quadruplet is made of primes each having 1002 digits.
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And now
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Open your eyes and see
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What we have made is real
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We are in Xanadu
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==External Links==
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A million lights are dancing
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* [http://mathworld.wolfram.com/SexyPrimes.html Sexy Primes] at Mathworld
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And there you are
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A shooting star
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An everlasting world
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And you're here with me
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Eternally
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[[Category:Number Theory]]
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Xanadu, Xanadu,
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(now we are here)
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In Xanadu
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Xanadu, Xanadu,
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(now we are here)
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In Xanadu
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Xanadu, your neon lights will shine
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For you, Xanadu
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The love
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The echoes of long ago
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You needed the world to know
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They are in Xanadu
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The dream
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That came through a million years
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That lived on through all the tears
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It came to Xanadu
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A million lights are dancing
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And there you are
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A shooting star
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An everlasting world
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And you're here with me
 +
Eternally
 +
 
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Xanadu, Xanadu,
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(now we are here)
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In Xanadu
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Xanadu, Xanadu,
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(now we are here)
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In Xanadu
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Now that I'm here
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Now that you're near in Xanadu
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Now that I'm here
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Now that you're near in Xanadu
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Xanadu...
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