Provided herein is a method for synthesizing polynucleic acids, comprising the steps of (a) providing an acidic solution substantially free of nucleic acid polymerase and lipids, but containing mononucleotides and a monovalent salt; (b) drying and resolubilizing the mixture of step (a) a plurality of times; and (c) recovering polynucleic acids from a resolubilized mixture of step (b). In certain aspects, the method further uses a low pH, e.g. about 3; it can utilize monophosphates, such as AMP rather than ATP; and it can be used with a polynucleotide template to form a sequence at least partially complementary to said template. Thus, both single-stranded and double-stranded polynucleic acids are provided. Ammonia salts have been used to obtain RNA lengths from 10 to 300 nucleotides after 16 half hour cycles and an effective temperature includes between 80° C. and 100° C.