Silver nanoparticles, method of producing the same, silver nanoparticle dispersion, and substrate having silver element formed thereon

Provided are silver nanoparticles having excellent dispersion stability in a solvent, and capable of forming on a substrate a silver element, such as a silver film or line, having excellent electrical conductivity and adhesivity through heating even at a lower temperature for a short time, as well as a method for producing the same, a dispersion liquid of the silver nanoparticles, and a substrate having a silver element formed thereon using the dispersion liquid. The silver nanoparticles contains, at a particular ratio, silver compound (A) represented by formula (1): amine compound (B) having a primary amino group; and polymer (C) obtained by polymerization of a monomer composition containing diol (meth)acrylate compound (c1) having a urethane bond represented by formula (2): (R 1 : hydrogen atom or methyl group; R 2 :-(CH2)n-; n: 1 to 4), and at least one monomer (c2) selected from (meth)acrylate monomers, acrylamide monomers, vinyl monomers, vinyl ether monomers, or monomers having an epoxy group.