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The discrete logarithm problem has been used as the basis of several cryptosystems, especially the Diffie-Hellman key exchange protocol. P systems are a cluster of distributed parallel computing devices in a biochemical type. This paper presents a P system with active membranes and strong priority to solve the discrete logarithm problem used in Diffie-Hellman key exchange protocol. To the best of our knowledge, it's the first time to solve the problem using P systems. Index Terms-P systems,doi:10.5815/ijcnis.2009.01.04 fatcat:tzod2jtmvvc65lll2m2ls5vrga