  Pulsations from the Crab pulsar have been detected by the MAGIC telescopes at
energies up to 1.5 TeV, and the pulsed emission from the Vela pulsar was
detected by H.E.S.S., reaching tens of TeV. These discoveries, along with the
proposed additional emission due to inverse Compton scattering at TeV energies,
lead us to consider suitable candidates for detection with current and future
extensive air show (EAS) experiments at very-high-energy (VHE; 0.1 $-$ 100 TeV)
ranges. Leveraging energy spectrum data from pulsars as observed by Fermi and
Imaging Atmospheric Cherenkov Telescopes (IACTs) and considering the
sensitivities of both LHAASO and SWGO, this study evaluates their detectability
and estimates the time required for their significant detection. Our results
indicate that LHAASO could detect the Crab's pulsed signal within six years,
while SWGO might detect Vela's signal within one year. Observations of the most
energetic Fermi pulsars with EAS experiments will provide insight into the
nature of VHE pulsar emissions, helping to clarify the primary characteristics
of VHE pulsars.
