We present an optoelectronic module called the Equivalency Processing Parallel Photonic Integrated Circuit (EP3IC). EP3IC is created specifically to implement high-speed digital parallel equivalence searches (i.e. a database word search or multimedia search). The module implements a parallel computation model with multiple-wavelength photonic integrated circuit technology. Based on simulation and initial analytical computation, a single-step multiple-comparand word-parallel bit-parallel equality search can achieve an aggregate processing speed of 82 terabits per second. We outlines the theoretical design of the monolithic module and integrated components, compares this with a functionally identical bulk-optics implementation. This integrated circuit solution provides relatively low-power operation, fast switching speed, a compact system footprint, vibration tolerance, and is highly manufacturable.