Cullen number [SEP] named after
Cullen number
In mathematics, a Cullen number is a natural number of the form formula_1 (written formula_2). Cullen numbers were first studied by James Cullen in 1905. Cullen numbers are special cases of Proth numbers.
Properties.
In 1976 Christopher Hooley showed that the natural density of positive integers formula_3 for which "C" is a prime is of the order "o(x)" for formula_4. In that sense, almost all Cullen numbers are composite. Hooley's proof was reworked by Hiromi Suyama to show that
the Earl's seat.
Features.
The village now has a population of 1,327. Cullen is noticeably busier in summer than winter due to the number of holiday homes owned. 
The village has an impressive beach and golf course, and the Crannoch wood which offers good views of the area. The Bin Hill or Bin of Cullen is a nearby hill with an associated footpath.
Cullen was the setting for Doris Davidson's romantic novel "The Three Kings", named after the three rocks at the east end