Backhouse's constant is a mathematical constant founded by N. Backhouse and is approximately 1.456 074 948.
It is defined by using the power series such that the coefficients of successive terms are the prime numbers:
and where
Then:
- (sequence A072508 in OEIS).
The limit was conjectured to exist by Backhouse which was later proved by P. Flajolet.
Famous quotes containing the word constant:
“We can never establish with certainty what part of our relations with others is the result of our emotions—love, antipathy, charity, or malice—and what part is predetermined by the constant power play among individuals.”
—Milan Kundera (b. 1929)