The Real Extended Bialas-Bzdak (ReBB) model is shown here to describe, in the 0.37 ≤ −t ≤ 1.2 GeV 2 region, the proton-proton elastic differential cross section data published by the TOTEM Collaboration at LHC at √ s = 8 TeV colliding energy. In this kinematic range, corresponding to the diffractive minimum-maximum region, a modeldependent Odderon signal higher than 18 σ is obtained by comparing the ReBB model prediction for the p p elastic differential cross section to this TOTEM measured pp elastic differential cross section data at 8 TeV. However, when combining this signal with the Odderon signals from the ReBB model in the 0.37 ≤ −t ≤ 1.2 GeV 2 four-momentumtransfer range at √ s = 1.96, 2.76 and 7 TeV, it turns out that the combined significance is dominated not by the new 8 TeV but by that of earlier 7 TeV TOTEM data, that carry an even larger Odderon effect. Thus, in any practical terms, within the framework of the ReBB model, the Odderon signal in the limited 0.37 ≤ −t ≤ 1.2 GeV 2 and 1.96 ≤ √ s ≤ 8 TeV kinematic region is not a probability, but a certainty. We show also that the H(x) version of the ReBB model works reasonably well at 8 TeV in the 0.37 ≤ −t ≤ 0.97 GeV 2 region.Keywords elastic proton-proton scattering • ReBB model • H(x) scaling • Odderon