DREYFUS THIRD CENTURY FUND INC
497, 2000-10-03
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                                         October 3, 2000



Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, D.C.  20549

Attention:  Filings - Rule 497 (j)

Re:   The Dreyfus Premier Third Century Fund, Inc.
      CIK No. 030167
      1940 Act File No. 811-2192
      Registration Statement File No. 2-40341

Dear Sir/Madam:

      Pursuant to Rule 497 (j) under the Securities Act of 1933, please be
advised that there are no changes to the Prospectus and Statement of Additional
Information contained in Post-Effective Amendment No. 48 to the Fund's
Registration Statement on Form N-1A filed pursuant to Rule 485 (b) with the
Securities and Exchange Commission on September 25, 2000.

      Please address any comments or questions to the undersigned at (212)
922-6883.

                                          Very truly yours,



                                          Kiesha Astwood

Cc:   J. Prusnofsky
      Fulbright & Jaworski
      Ernst & Young






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