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Cuban prime
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Everything about Cuban Prime totally explained

A cuban prime is a prime number that's a solution to one of two different specific equations involving third powers of x and y. The first of these equations is: » p = frac, x = y + 2.

It simplifies to 3y^2 + 6y + 4. The first few cuban primes on this form are :
» 13, 109, 193, 433, 769, 1201, 1453, 2029, 3469, 3889, 4801, 10093, 12289, 13873, 18253, 20173, 21169, 22189, 28813, 37633, 43201, 47629, 60493, 63949, 65713, 69313

This kind of cuban primes have also been researched by Cunningham, in his book Binomial Factorisations.
   The name "cuban prime" has to do with the role cubes (third powers) play in the equations, and has nothing to do with Cuba.

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