This document proposes a one-time password generation scheme using a mathematical random function in sphere space for mid-sized applications. It generates one-time passwords from a spherical random number space to produce thousands of unique passwords at once. The scheme was tested and shown to authenticate one user in seconds, 100 users in 28 seconds, and 1000 users in under 10 minutes. Future work could enhance the scheme with additional visual encoding techniques to further protect against botnets with image processing capabilities.