Smarandache constant

The Smarandache constant is the minimal solution $x_{\\min}$ of the generalized Andrica equation: $p_{n+1}^{x}-p_{n}^{x}=1$ where $p_{n}$ is the n ${}^{\\text{th}}$ prime number, and $x\\in\\mathbb{R}$ . The exact value of the Smarandache constant and whether it exists is currently unknown, however according to the generalized Andrica conjecture proposed by Florentin Smarandache the value of the Smarandache constant is $x_{\\min}\\approx 0.5671481302\\ldots$

The Smarandache constant should not be confused with a list of sixteen Smarandache constants $s_{1}-s_{16}$ defined as limits of different convergent series involving the Smarandache function.

单词	SmarandacheConstant
释义	Smarandache constant The Smarandache constant is the minimal solution $x_{\\min}$ of the generalized Andrica equation: $p_{n+1}^{x}-p_{n}^{x}=1$ where $p_{n}$ is the n ${}^{\\text{th}}$ prime number, and $x\\in\\mathbb{R}$ . The exact value of the Smarandache constant and whether it exists is currently unknown, however according to the generalized Andrica conjecture proposed by Florentin Smarandache the value of the Smarandache constant is $x_{\\min}\\approx 0.5671481302\\ldots$ The Smarandache constant should not be confused with a list of sixteen Smarandache constants $s_{1}-s_{16}$ defined as limits of different convergent series involving the Smarandache function.
随便看	locally compact quantum groups: uniform continuity LocallyConnected locally connected LocallyConvexTopologicalVectorSpace locally convex topological vector space LocallyCyclicGroup locally cyclic group LocallyEuclidean locally Euclidean LocallyFiniteCollection locally finite collection LocallyFiniteGraph locally finite graph LocallyFiniteGroup locally finite group LocallyFinitePoset locally finite poset LocallyFiniteQuiver locally finite quiver LocallyFree locally free LocallyHomeomorphic locally homeomorphic LocallyIntegrableFunction locally integrable function