The DNA recombination process known as V(D)J recombination is the central mechanism for generating diversity among antigen receptors such as T-cell receptors (TCRs). This diversity is crucial for the development of the adaptive immune system. However, modeling of all the alpha beta TCR sequences is encumbered by the enormity of the potential repertoire, which has been predicted to exceed 10 15 sequences. Prior modeling efforts have, therefore, been limited to extrapolations based on the analysis of minor subsets of the overall TCRbeta repertoire. In this study, we map the recombination process completely onto the graphics processing unit (GPU) hardware architecture using the CUDA programming environment to circumvent prior limitations. For the first time, we present a model of the mouse TCRbeta repertoire to an extent which enabled us to evaluate the Convergent Recombination Hypothesis (CRH) comprehensively at peta-scale level on a single GPU.