We discuss some regularities in the baryon mass spectrum which have been suggested by one of us and possible experimental verification of them.I N this paper we should like to call attention to certain approximate regularities among the square masses of the baryons with the hope that future research can establish whether they are real or are the result of numerical accidents in the limited data available.Our classification of states will be guided by the three-quark model of "baryons" and the principle of Regge recurrence. The states1 of three quarks each of spin 3 depend on the symmetry character of the state.If it is symmetric, i t is a 56 (consisting of a spinquartet unitary-spin decimet, '10, and a spin-doublet unitary-spin octet, 28). If it is antisymmetric it is a 20 (spin-doublet unitary-spin octet, 28, and a spinquartet singlet, 41). For the intermediate symmetry, we have the double representation of a 70=21, 28, 48, 210.Ib-e nest suppose that the over-all state is entirely symmetric. If we add internal degrees of freedom, we suppose that the lowest states are the s states, themselves symmetric and of zero angdlar momentum. Thus our lowest states are where the ablP give spin multiplicity a, unitary spin multiplicity b, parity $, and angular momentum j of the states. These, of course, are talien to be the fundamental octet and the lowest decimet (with A=1236).