Gregory number

In mathematics, a Gregory number, named after James Gregory, is a real number of the form:[1] where x is any rational number greater or equal to 1.Considering the power series expansion for arctangent, we have Setting x = 1 gives the well-known Leibniz formula for pi.Thus, in particular, is a Gregory number.This number theory-related article is a stub.You can help Wikipedia by expanding it.
mathematicsJames Gregoryreal numberpower seriesarctangentLeibniz formula for piStørmer numberConway, John H.R. K. GuyReal numbers0.999...Absolute differenceCantor setCantor–Dedekind axiomCompletenessConstructionDecidability of first-order theoriesExtended real number lineIrrational numberNormal numberRational numberRational zeta seriesReal coordinate spaceReal lineTarski axiomatizationVitali setnumber theory