Mar 5, 2025 · Backhouse's constant is a limit of a ratio of coefficients of a power series related to prime numbers. Learn how it is defined, what its continued fraction and radius of convergence …

A mathematical constant is a number whose value is fixed by an unambiguous definition, often referred to by a special symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]

Mar 31, 2008 · Extensive and well maintained list of basic, derived, and applied mathematical constants listed by category and including both real and complex constants; a great constant …

Backhouse's constant is a mathematical constant related to prime numbers and their inverses. It is approximately 1.456 and has a power series and a continued fraction representation.

Backhouse's constant; Beraha constants; Bernstein's constant; Brun's constant; C. Cahen's constant; Catalan's constant; Champernowne constant; Chvátal–Sankoff constants; Conic …

Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, …

Philippe Flajolet, in response to the previous document from S. R. Finch, Backhouse's constant, 1995

Aug 2, 2016 · Backhouse’s constant has approximate value 1.456074948. whose coefficients are consecutive prime numbers. Its formal reciprocal is. ( ) . lim 1.45607... I discovered it in 1995, …

Backhouse's constant is a mathematical constant defined by a power series with prime number coefficients. It is approximately 1.456 and has a non-periodic continued fraction.

Let be defined as the Power series whose th term has a Coefficient equal to the th Prime , The constant was subsequently shown to exist by P. Flajolet. References. Finch, S. ``Favorite …

The reciprocal of Backhouse's constant is the real zero of a certain power series. - T. D. Noe, Oct 14 2003

Backhouse's constant is a mathematical constant named after Nigel Backhouse. Its value is approximately 1.456 074 948. It is defined by using the power series such that the coefficients …

mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate …

Aug 1, 1996 · Read More lesser-known ones such as the Artin's Constant and the Backhouse Constant. Each entry includes the constant's value to numerous decimal places, with specific …

A mathematical constant is a special number, usually a real number, that is "significantly interesting in some way".[1] Constants arise in many different areas of mathematics, with …

Nov 12, 2023 · Backhouse's constant is a mathematical constant named after Nigel Backhouse. Its value is approximately 1.456 074 948.

Backhouse's constant is a mathematical constant named after Nigel Backhouse. Its value is approximately 1.456 074 948. It is defined by using the power series such that the coefficients …

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 …