Number approaches for the calculation of the electromagnetic coupling constant D.Dimov,D.Bonchev,S.Markov,A.Atanassov First approach: Let: e’=e-α-α3*e*d , where: d= 1/(a-1/(a-1/(a-1/(a- ......., where: a=2*(π2-1); π’=π-α*d d=0,0565525896098665 if: α0=0,0072973525664 e’=2,710984416155706 π’=3,1411799694048671 Let: α= e’^(-((π’)^2)/2) , then: α1=0,00729735256483 and,after iterative process: α2=0,00729735256486. Second approach: Ln(1,0011600600116006001160060011600600116)=δ=0,001159387757355355869 π’=π-4*δ=3,136955102942143512 α=e^(-((π’)^2)/2)=0,00729735256498. There is a small difference between the two results.Probably,by more precise calculations its limit is zero.The corresponding α^-1=137,035999168.