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
September 30, 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
                                                   November 9, 2004


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.


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