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, [2] and later proven by Philippe Flajolet. [3]
In mathematics, the gamma function is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except the non-positive integers. For every positive integer n,
2 (two) is a number, numeral and digit. It is the natural number following 1 and preceding 3. It is the smallest and only even prime number. Because it forms the basis of a duality, it has religious and spiritual significance in many cultures.
Euler's constant is a mathematical constant, usually denoted by the lowercase Greek letter gamma, defined as the limiting difference between the harmonic series and the natural logarithm, denoted here by log:
22 (twenty-two) is the natural number following 21 and preceding 23.
35 (thirty-five) is the natural number following 34 and preceding 36.
34 (thirty-four) is the natural number following 33 and preceding 35.
37 (thirty-seven) is the natural number following 36 and preceding 38.
63 (sixty-three) is the natural number following 62 and preceding 64.
104 is the natural number following 103 and preceding 105.
In mathematics, and more particularly in number theory, primorial, denoted by "#", is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, the function only multiplies prime numbers.
1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.
126 is the natural number following 125 and preceding 127.
1,000,000,000 is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.
181 is the natural number following 180 and preceding 182.
177 is the natural number following 176 and preceding 178.
277 is the natural number following 276 and preceding 278.
288 is the natural number following 287 and preceding 289. Because 288 = 2 · 12 · 12, it may also be called "two gross" or "two dozen dozen".
In mathematics, Cahen's constant is defined as the value of an infinite series of unit fractions with alternating signs:
In mathematical analysis, the Foias constant is a real number named after Ciprian Foias.
In mathematics, the Dottie number is a constant that is the unique real root of the equation
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