Production of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.svg"> <mml:mrow> <mml:mi>J</mml:mi> <mml:mo linebreak="goodbreak">/</mml:mo> <mml:mi>ψ</mml:mi> <mml:mi>p</mml:mi> <mml:mover accent="true"> <mml:mi>p</mml:mi> <mml:mo

The discoveries of the hidden-charm P c pentaquarks by the LHCb Collaboration have been not confirmed by other experiments yet. It is desirable to investigate the feasibility of observing them in other experiments. We present an order-of-magnitude estimate of the cross section of the e + e − → J / ψ p p ¯ process, where the hidden-charm pentaquarks may be searched for, and find it to be of O ( 4 fb ) when the e + e − c.m. energy is about between 6 and 7 GeV. The cross section for e + e − → P c p ¯ is then estimated to be ≲ O ( 0.1 pb ) . Thus, it is promising to search for P c at the future high-luminosity super tau-charm facilities with annual integrated luminosity about 1 ab − 1 . We also predict the branching fraction of Υ → J / ψ p p ¯ to be of O ( 2 × 10 − 6 ) , which can be tested at B factories.