In this paper, experinaental three-phase equilibrium (solid n-alkane + liquid + vapor) data for binary methane+n-alkane systems are presented. For the binary system methane + tetracosane, the three-phase curve was determined based on two phase equilibrium measurements in a composition range from xc_, 4 = 0.0027 to Xc_,4 = 1.0. The second critical endpoint of this system was found at p=(104.7+0.5)MPa, T=(322.6_+0.25)K, and a mole fraction of tetracosane in the critical fluid phase of xc_-4 = 0.0415 +_ 0.0015. The second critical endpoint occurs where solid tetracosane is in equilibrium with a critical fluid phase (Sc_,a + L = V). For the binary systems of methane with the n-alkanes tetradecane, triacontane, tetracontane, and pentacontane, only the coordinates of the second critical endpoints were measured. The second critical endpoint temperature is found close to the atmospheric melting point temperature of the n-alkane. The pressures at the second critical endpoints do not exceed 200 MPa. Based on these experimental data and data from the literature. correlations for the pressure, temperature, and fluid phase composition at the second critical endpoint of binary methane + n-alkane systems with n-alkanes between octane and pentacontane were developed.