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	MeanvalueTheoremForSeveralVariables mean-value theorem for several variables MeasurabilityOfAnalyticSets measurability of analytic sets MeasurabilityOfStochasticProcesses measurability of stochastic processes MeasurabilityOfStoppedProcesses measurability of stopped processes MeasurableAndRealvaluedMeasurableCardinals measurable and real-valued measurable cardinals MeasurableFunction measurable function MeasurableProjectionTheorem measurable projection theorem MeasurableSectionTheorem measurable section theorem MeasurableSpace measurable space Measure measure Measurement MeasureOnABooleanAlgebra measure on a Boolean algebra Measurepreserving measure-preserving