The invention provides a method useful for determining the sequence of large numbers of loci of interest on a single or multiple chromosomes. The method utilizes an oligonucleotide primer that contains a recognition site for a restriction enzyme such that digestion with the restriction enzyme generates a 5' overhang containing the locus of interest. The 5' overhang is used as a template to incorporate nucleotides, which can be detected. The method is especially amenable to the analysis of large numbers of sequences, such as single nucleotide polymorphisms, from one sample of nucleic acid.