This article presents a study on enhancing the sensitivity of silicon micromechanical resonators by operating them at exceptional points (EPs). The researchers demonstrate that when silicon resonators are coupled in a parity-time (PT)-symmetric dimer configuration, the frequency splitting induced by small perturbations scales with the square root of the perturbation strength, leading to significantly enhanced sensitivity compared to traditional resonators. The study shows that the sensitivity of EP-based resonators is improved by an order of magnitude for small perturbations, and the overall signal-to-noise ratio is still greatly enhanced, despite a slight increase in noise spectral density compared to traditional schemes. The PT-symmetric dimer consists of two resonators, one with loss and the other with gain, coupled through a mechanical spring. When the system is operated at an EP, the eigenfrequencies and eigenvectors coalesce, leading to a strong response to small perturbations. The frequency splitting near EPs is found to be proportional to the square root of the perturbation strength, while in traditional schemes, the frequency shift is linear with the perturbation strength. This square-root dependence results in a much higher sensitivity for EP-based resonators. The study also compares the performance of EP-based resonators with that of traditional resonators operating at diabolic points (DPs). The results show that the frequency splitting for EP-based resonators is significantly larger than that for DP-based resonators under the same perturbation. The sensitivity of EP-based resonators is also found to be much higher, with a slope of 1/2 in the logarithmic plot of frequency splitting versus perturbation strength, confirming the square-root dependence. The experiments involved fabricating and testing a pair of mechanically coupled silicon micromechanical resonators. The resonators were operated in a vacuum, and the frequency response was measured using a lock-in amplifier. The results confirmed the theoretical predictions, showing that the frequency splitting for EP-based resonators is significantly larger than that for DP-based resonators. The study also highlights the potential of EP-based silicon micromechanical resonators for high-sensitivity sensing applications, such as accelerometers and magnetometers.This article presents a study on enhancing the sensitivity of silicon micromechanical resonators by operating them at exceptional points (EPs). The researchers demonstrate that when silicon resonators are coupled in a parity-time (PT)-symmetric dimer configuration, the frequency splitting induced by small perturbations scales with the square root of the perturbation strength, leading to significantly enhanced sensitivity compared to traditional resonators. The study shows that the sensitivity of EP-based resonators is improved by an order of magnitude for small perturbations, and the overall signal-to-noise ratio is still greatly enhanced, despite a slight increase in noise spectral density compared to traditional schemes. The PT-symmetric dimer consists of two resonators, one with loss and the other with gain, coupled through a mechanical spring. When the system is operated at an EP, the eigenfrequencies and eigenvectors coalesce, leading to a strong response to small perturbations. The frequency splitting near EPs is found to be proportional to the square root of the perturbation strength, while in traditional schemes, the frequency shift is linear with the perturbation strength. This square-root dependence results in a much higher sensitivity for EP-based resonators. The study also compares the performance of EP-based resonators with that of traditional resonators operating at diabolic points (DPs). The results show that the frequency splitting for EP-based resonators is significantly larger than that for DP-based resonators under the same perturbation. The sensitivity of EP-based resonators is also found to be much higher, with a slope of 1/2 in the logarithmic plot of frequency splitting versus perturbation strength, confirming the square-root dependence. The experiments involved fabricating and testing a pair of mechanically coupled silicon micromechanical resonators. The resonators were operated in a vacuum, and the frequency response was measured using a lock-in amplifier. The results confirmed the theoretical predictions, showing that the frequency splitting for EP-based resonators is significantly larger than that for DP-based resonators. The study also highlights the potential of EP-based silicon micromechanical resonators for high-sensitivity sensing applications, such as accelerometers and magnetometers.