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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A Pierpont prime is a prime number of the form 2^u 3^v + 1, for some nonnegative integers u and v. They are named after the mathematician James Pierpont. It is possible to prove that if v = 0 and u 0, then u must be a power of 2, making the prime a Fermat prime. If v is positive then u must also be positive, and the Pierpont prime is of the form 6k + 1 (because if u = 0 and v 0 then 2u3v + 1 is an even number greater than 2 and therefore composite).

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A Pierpont prime is a prime number of the form 2^u 3^v + 1, for some nonnegative integers u and v. They are named after the mathematician James Pierpont. It is possible to prove that if v = 0 and u 0, then u must be a power of 2, making the prime a Fermat prime. If v is positive then u must also be positive, and the Pierpont prime is of the form 6k + 1 (because if u = 0 and v 0 then 2u3v + 1 is an even number greater than 2 and therefore composite).