A fundamental problem in origins of life research is how the first polymers with the properties of nucleic acids were synthesized and incorporated into living systems on the prebiotic Earth. Here, we show that RNA-like polymers can be synthesized non-enzymatically from 5'-phosphate mononucleosides in salty environments. The polymers were identified and analyzed by gel electrophoresis, nanopore analysis, UV spectra, and action of RNases. The synthesis of phosphodiester bonds is driven by the chemical potential made available in the fluctuating hydrated and anhydrous conditions of hydrothermal fields associated with volcanic land masses.