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searching for Prime constant 11 found (17 total)

Twin prime (2,628 words) [view diff] exact match in snippet view article find links to article

N}{\log N}}\right)\right],} where C 2 {\displaystyle C_{2}} is the twin prime constant (slightly less than 2/3), given below. The question of whether there

Mathematical constant (3,546 words) [view diff] exact match in snippet view article find links to article

to the meaning of the constant (universal parabolic constant, twin prime constant, ...) or to a specific person (Sierpiński's constant, Josephson constant

Generalized Riemann hypothesis (1,318 words) [view diff] exact match in snippet view article find links to article

deterministic algorithm for factoring polynomials over finite fields with prime constant-smooth degrees is guaranteed to run in polynomial time. If GRH is true

Brun's theorem (1,261 words) [view diff] exact match in snippet view article find links to article

{\displaystyle C_{2}=0.6601\ldots } (sequence A005597 in the OEIS) be the twin prime constant. Then it is conjectured that π 2 ( x ) ∼ 2 C 2 x ( log ⁡ x ) 2 . {\displaystyle

Goldbach's conjecture (3,421 words) [view diff] exact match in snippet view article find links to article

{n}{(\ln n)^{2}}}} when n is even, where Π2 is Hardy–Littlewood's twin prime constant Π 2 := ∏ p p r i m e ≥ 3 ( 1 − 1 ( p − 1 ) 2 ) ≈ 0.66016 18158 46869

Polignac's conjecture (894 words) [view diff] exact match in snippet view article find links to article

two expressions tends to 1 as x approaches infinity. C2 is the twin prime constant C 2 = ∏ p ≥ 3 p ( p − 2 ) ( p − 1 ) 2 ≈ 0.660161815846869573927812110014

Safe and Sophie Germain primes (2,629 words) [view diff] exact match in snippet view article find links to article

_{p>2}{\frac {p(p-2)}{(p-1)^{2}}}\approx 0.660161} is Hardy–Littlewood's twin prime constant. For n = 104, this estimate predicts 156 Sophie Germain primes, which

Euler product (2,219 words) [view diff] exact match in snippet view article find links to article

Euler products for known constants include: The Hardy–Littlewood twin prime constant: ∏ p > 2 ( 1 − 1 ( p − 1 ) 2 ) = 0.660161... {\displaystyle \prod _{p>2}\left(1-{\frac

Stephens' constant (309 words) [view diff] exact match in snippet view article find links to article

\over {(p+1+{{1} \over {p}})}}\right)} Euler product Twin prime constant Stephens, P. J. (1976). "Prime Divisor of Second-Order Linear Recurrences

Goldbach's comet (948 words) [view diff] exact match in snippet view article find links to article

{\displaystyle E/2} . The factor on the right is Hardy–Littlewood's twin prime constant Π 2 = ∏ p > 2 ( 1 − 1 ( p − 1 ) 2 ) = 0.6601618... {\displaystyle \Pi

First Hardy–Littlewood conjecture (648 words) [view diff] exact match in snippet view article find links to article

3}}\left(1-{\frac {1}{(q-1)^{2}}}\right)\approx 1.320323632\ldots } is the twin prime constant. The Skewes' numbers for prime k-tuples are an extension of the definition