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We have discovered a new binary millisecond pulsar in an EGRET source error box. The discovery was made in a pulsar search conducted at Arecibo observatory targeted at the unidentified EGRET high energy $\gamma$-ray source error boxes. The pulsar has a 3.5 ms spin period, an 8.5 hour orbital period, a 430 MHz flux density of 10 mJy, and a dispersion measure of 30 $pc cm^{-3}$. The mass function is 0.001 M$\odot$, setting a lower limit on the companion mass of 0.14 M$\odot$ for an assumed pulsar mass of 1.4 M$\odot$. We present results of our analysis of ROSAT and EGRET observations to determine whether the high energy emission is associated with the millisecond pulsar. Possible models for such a system are considered.