Mathematical constants | Prime numbers

Backhouse's constant

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 of successive terms are the prime numbers, and its multiplicative inverse as a formal power series, Then: . This limit was conjectured to exist by Backhouse, and later proven by Philippe Flajolet. (Wikipedia).

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Related pages

Hexadecimal | Decimal | Formal power series | Mathematical constant | Coefficient | Philippe Flajolet | Continued fraction | Power series | Multiplicative inverse