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The question of how heavy a sterile neutrino can be probed in experimentsleads us to investigate the Primakoff production of heavy sterile neutrinos upto PeV masses from ultrahigh-energy neutrinos via the magnetic dipole portal.Despite the suppression from the small magnetic moment, the transition issignificantly enhanced by tiny $t$-channel momentum transfers, similar to theresonant production of pions and axions in an external electromagnetic field.Based on the current IceCube measurement of astrophysical neutrinos up to PeVenergies, strong constraints can already be derived on the transition magneticmoments of sterile neutrinos up to TeV masses. Moreover, we investigate thesensitivity of future tau neutrino telescopes, which are designed for EeVcosmogenic neutrino detection. We find that sterile neutrino masses as large as$30~{\rm TeV}$ can be probed at tau neutrino telescopes such as GRAND, POEMMA,and Trinity.

Probing Heavy Sterile Neutrinos at Ultrahigh Energy Neutrino Telescopes via the Dipole Portal