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Since the totient of a prime is formed by subtracting one from it, the primes N for which Pierpont's construction works are exactly the Pierpont primes. However, Pierpont did not describe the form of the composite numbers with 3-smooth totients. [6] As Gleason later showed, these numbers are exactly the ones of the form 2 m 3 n ρ given above. [1]
Richard Pierpoint (c. 1744 – c. 1837) was a Senegalese-born farmer and soldier. Brought as a slave to British North America via the Atlantic slave trade , he fought as a Black Loyalist in the American Revolutionary War .
A regular n-gon has a solid construction if and only if n=2 a 3 b m where a and b are some non-negative integers and m is a product of zero or more distinct Pierpont primes (primes of the form 2 r 3 s +1). Therefore, regular n-gon admits a solid, but not planar, construction if and only if n is in the sequence
As 13 is a Pierpont prime but not a Fermat prime, the regular tridecagon cannot be constructed using a compass and straightedge.However, it is constructible using neusis, or an angle trisector.
Holme Pierrepont Country Park, home of The National Water Sports Centre is located in the hamlet of Holme Pierrepont near Nottingham, England and on the River Trent.It is used for many differen sports and has received investment which has enabled a major refurbishment of existing facilities as well as introduction of new facilities.
The Morgan Library & Museum (originally known as the Pierpont Morgan Library; colloquially the Morgan) is a museum and research library at 225 Madison Avenue in the Murray Hill neighborhood of Manhattan in New York City, New York, U.S. Completed in 1906 as the private library of the banker J. P. Morgan, the institution has more than 350,000 objects.
Richard Pierpoint (c1744-c1837), Bondu-born participant in the American Revolution; Robert Pierpoint (journalist) (1925-2011), United States broadcast journalist; Robert Pierpoint (Vermont politician) (1791-1864), United States political figure and co-founder of a life-insurance company; Roy Pierpoint (born 1929), British racing driver
The Pierrepont family have lived at Holme Pierrepont since around 1280, following the marriage of Henry de Pierrepont to Annora de Manvers. Originally the area was known only as Holme, but later adopted the family surname as a suffix.