The thermal equilibrium correlation properties of a magnetically confined pure electron plasma (McPEP) are related to those of a one‐component plasma (OCP). TheN‐particle spatial distribution &rgr;sand the Helmholtz free energyFare evaluated for the McPEP toO(&lgr;2d/a2), where &lgr;dis the thermal de Broglie wavelength andais an interparticle spacing. The electron gyromotion is allowed to be fully quantized while the guiding center motion is quasiclassical. The distribution &rgr;sis shown to be identical to that of a classical OCP with a slightly modified potential. ToO(&lgr;2d/a2) this modification does not affect that part ofFwhich caused by correlations, as long as certain requirements concerning the size of the plasma are met. This theory is motivated by a current series of experiments that involve the cooling of a magnetically confined pure electron plasma to the cryogenic temperature range.