<DOCUMENT>
<TYPE>EX-32.1
<SEQUENCE>4
<FILENAME>ex32-1.txt
<TEXT>
                                                                    Exhibit 32.1

                                CERTIFICATION OF
                                ----------------
                             CHIEF EXECUTIVE OFFICER
                             -----------------------
                           OF MEXCO ENERGY CORPORATION
                           ---------------------------
                          PURSUANT TO 18 U.S.C. ss.1350
                          -----------------------------


In connection with the accompanying report on Form 10-Q for the period ended
December 31, 2004 and filed with the Securities and Exchange Commission on the
date hereof (the "Report"), I, Nicholas C. Taylor, Chief Executive Officer of
Mexco Energy Corporation (the "Company"), hereby certify that:

      1. The Report fully complies with the requirements of Section 13(a) or
         15(d) of the Securities Exchange Act of 1934; and

      2. The information contained in the Report fairly presents, in all
         material respects, the financial condition and results of operations of
         the Company.


                                        /s/  Nicholas C. Taylor
                                        -----------------------
                                        Nicholas C. Taylor
                                        Chief Executive Officer
                                        February 8. 2005


This certification is made solely pursuant to 18 U.S.C. Section 1350, and not
for any other purpose. A signed original of this written statement required by
Section 906 will be retained by Mexco Energy Corporation and furnished to the
Securities and Exchange Commission or its staff upon request.


                                     Page 18
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</DOCUMENT>
