C_{2}} is the twin prime constant (slightly less than 2/3), given below. The question of whether there exist infinitely many twin primes has been one of...
21 KB (2,732 words) - 04:05, 5 June 2025
The prime constant is the real number ρ {\displaystyle \rho } whose n {\displaystyle n} th binary digit is 1 if n {\displaystyle n} is prime and 0 if n...
3 KB (438 words) - 13:56, 31 January 2025
Brun's theorem (redirect from Brun's constant for prime quadruplets)
reciprocals of the twin primes (pairs of prime numbers which differ by 2) converges to a finite value known as Brun's constant, usually denoted by B2 (sequence...
10 KB (1,293 words) - 23:53, 19 June 2025
Vallée-Poussin constant (after Jacques Hadamard and Charles Jean de la Vallée-Poussin), or the prime reciprocal constant, is a mathematical constant in number...
4 KB (346 words) - 13:07, 20 June 2025
Weisstein, Eric W. "Brun's Constant". MathWorld. Weisstein, Eric W. "Twin Primes Constant". MathWorld. Weisstein, Eric W. "Plastic Constant". MathWorld. Weisstein...
97 KB (3,567 words) - 15:15, 27 June 2025
\left\lfloor A^{3^{n}}\right\rfloor } is a prime number for all positive natural numbers n. This constant is named after William Harold Mills who proved...
9 KB (1,111 words) - 01:39, 6 June 2025
Goldbach's conjecture (redirect from Addition of prime numbers)
of not more than C prime numbers, where C is an effectively computable constant; see Schnirelmann density. Schnirelmann's constant is the lowest number...
29 KB (3,691 words) - 04:43, 2 July 2025
List of numbers (section Prime numbers)
Large numbers List of mathematical constants List of prime numbers List of types of numbers Mathematical constant Metric prefix Names of large numbers...
58 KB (3,970 words) - 13:18, 1 July 2025
meaning of the constant (universal parabolic constant, twin prime constant, ...) or to a specific person (Sierpiński's constant, Josephson constant, and so on)...
40 KB (3,556 words) - 10:43, 24 June 2025
A} denoted as ρ ( A ) {\displaystyle \rho (A)} The plastic ratio The prime constant The sensitivity to interest rates of a pricing function The expected...
8 KB (1,108 words) - 20:01, 29 June 2025
constant is the concatenation of "0." with the base 10 representations of the prime numbers in order. Its value, using the modern definition of prime...
4 KB (562 words) - 15:53, 11 November 2024
efficient formula for primes. For example, there is no non-constant polynomial, even in several variables, that takes only prime values. However, there...
117 KB (14,179 words) - 23:31, 23 June 2025
This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than...
107 KB (5,797 words) - 22:31, 20 June 2025
Legendre's constant is a mathematical constant occurring in a formula constructed by Adrien-Marie Legendre to approximate the behavior of the prime-counting...
11 KB (714 words) - 22:33, 19 June 2025
cousin primes have the same asymptotic density as twin primes. An analogue of Brun's constant for twin primes can be defined for cousin primes, called...
4 KB (600 words) - 20:11, 6 May 2025
theory, a formula for primes is a formula generating the prime numbers, exactly and without exception. Formulas for calculating primes do exist; however,...
24 KB (4,124 words) - 18:12, 27 June 2025
Mertens' theorems.* The calculation of the Meissel–Mertens constant. Lower bounds to specific prime gaps. An approximation of the average number of divisors...
71 KB (9,611 words) - 12:02, 23 June 2025
with Euler's constant, a different constant typically denoted γ {\displaystyle \gamma } . Alternatively, e can be called Napier's constant after John Napier...
54 KB (6,480 words) - 22:41, 26 June 2025
government. The prime minister must constantly maintain the confidence of the House of Commons because, as Bagehot notes, the power of the prime minister derives...
111 KB (12,440 words) - 21:11, 30 June 2025
a prime number p is a Sophie Germain prime if 2p + 1 is also prime. The number 2p + 1 associated with a Sophie Germain prime is called a safe prime. For...
24 KB (2,777 words) - 19:17, 18 May 2025
Euler–Mascheroni constant. Polignac's conjecture states that every positive even number k occurs as a prime gap infinitely often. The case k = 2 is the twin prime conjecture...
33 KB (3,811 words) - 10:43, 12 June 2025
First Hardy–Littlewood conjecture (category Conjectures about prime numbers)
320323632\ldots } is the twin prime constant. The Skewes' numbers for prime k-tuples are an extension of the definition of Skewes' number to prime k-tuples based on...
4 KB (651 words) - 16:31, 16 March 2025
Archimedes' constant (π, pi) – Archimedes Avogadro constant – Amedeo Avogadro Balmer's constant – Johann Jakob Balmer Belphegor's prime – Belphegor (demon)...
5 KB (500 words) - 23:13, 7 October 2024
over finite fields with prime constant-smooth degrees is guaranteed to run in polynomial time. If GRH is true, then for every prime p there exists a primitive...
9 KB (1,330 words) - 18:07, 3 May 2025
Stephens' constant expresses the density of certain subsets of the prime numbers. Let a {\displaystyle a} and b {\displaystyle b} be two multiplicatively...
2 KB (309 words) - 12:51, 7 October 2024
Goldbach's comet (category Prime numbers)
taken over all primes p that are factors of E / 2 {\displaystyle E/2} . The factor on the right is Hardy–Littlewood's twin prime constant Π 2 = ∏ p > 2...
5 KB (948 words) - 11:39, 23 June 2025
6174 (redirect from Karpekar's constant)
6173 and preceding 6175. The natural integer 6174 is known as Kaprekar's constant, after the Indian mathematician D. R. Kaprekar. This number is notable...
5 KB (569 words) - 23:12, 9 April 2025
Euler product (category Mathematical constants)
a prime number and each denominator is the nearest multiple of 4. Other Euler products for known constants include: The Hardy–Littlewood twin prime constant:...
12 KB (2,226 words) - 11:38, 11 June 2025
In mathematics and the field of number theory, the Landau–Ramanujan constant is the positive real number b that occurs in a theorem proved by Edmund Landau...
3 KB (427 words) - 08:19, 18 January 2025
trips. The Royal Canadian Mounted Police also furnish constant personal security for the prime minister and their family. All of the aforementioned is...
53 KB (5,278 words) - 17:31, 2 July 2025