Smarandache constant

The Smarandache constant is the minimal solution xmin of the generalized Andrica equation: pn+1x-pnx=1 where pn is the nth prime numberMathworldPlanetmath, and x. 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 xmin0.5671481302

The Smarandache constant should not be confused with a list of sixteen Smarandache constants s1-s16 defined as limits of different convergent series involving the Smarandache function.

Title Smarandache constant
Canonical name SmarandacheConstant
Date of creation 2013-03-22 17:17:49
Last modified on 2013-03-22 17:17:49
Owner dankomed (17058)
Last modified by dankomed (17058)
Numerical id 17
Author dankomed (17058)
Entry type Conjecture
Classification msc 11A41
Related topic FlorentinSmarandache