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- Pierpont_prime abstract "A Pierpont prime is a prime number of the form 2u3v + 1 for some nonnegative integers u and v. That is, they are the prime numbers p for which p − 1 is 3-smooth. 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).The first few Pierpont primes are:2, 3, 5, 7, 13, 17, 19, 37, 73, 97, 109, 163, 193, 257, 433, 487, 577, 769, 1153, 1297, 1459, 2593, 2917, 3457, 3889, 10369, 12289, 17497, 18433, 39367, 52489, 65537, 139969, 147457, 209953, 331777, 472393, 629857, 746497, 786433, 839809, 995329. (sequence A005109 in OEIS)".
- Pierpont_prime thumbnail Pierpont_exponent_distribution.png?width=300.
- Pierpont_prime wikiPageID "2595060".
- Pierpont_prime wikiPageRevisionID "597640922".
- Pierpont_prime hasPhotoCollection Pierpont_prime.
- Pierpont_prime title "Pierpont Prime".
- Pierpont_prime urlname "PierpontPrime".
- Pierpont_prime subject Category:Classes_of_prime_numbers.
- Pierpont_prime type Abstraction100002137.
- Pierpont_prime type Class107997703.
- Pierpont_prime type ClassesOfPrimeNumbers.
- Pierpont_prime type Collection107951464.
- Pierpont_prime type Group100031264.
- Pierpont_prime comment "A Pierpont prime is a prime number of the form 2u3v + 1 for some nonnegative integers u and v. That is, they are the prime numbers p for which p − 1 is 3-smooth. 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.".
- Pierpont_prime label "Nombre premier de Pierpont".
- Pierpont_prime label "Número primo de Pierpont".
- Pierpont_prime label "Pierpont prime".
- Pierpont_prime label "Pierpont-Primzahl".
- Pierpont_prime sameAs Pierpont-Primzahl.
- Pierpont_prime sameAs Número_primo_de_Pierpont.
- Pierpont_prime sameAs Nombre_premier_de_Pierpont.
- Pierpont_prime sameAs 피어폰트_소수.
- Pierpont_prime sameAs m.07qhg9.
- Pierpont_prime sameAs Q872371.
- Pierpont_prime sameAs Q872371.
- Pierpont_prime sameAs Pierpont_prime.
- Pierpont_prime wasDerivedFrom Pierpont_prime?oldid=597640922.
- Pierpont_prime depiction Pierpont_exponent_distribution.png.
- Pierpont_prime isPrimaryTopicOf Pierpont_prime.
