EQUITY SECURITIES TRUST SERIES 4 EQUITS
497J, 1998-06-05
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REICH & TANG DISTRIBUTORS, INC.
600 Fifth Avenue
New York, New York 10020
(212) 830-5200





                                                      June 3, 1998


VIA EDGAR
- ---------

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

                Re:  Equity Securities Trust, Series 4, EquiT's
                     File No. 33-51009
                     ------------------------------------------

Gentlemen:

          As Sponsor of the above-referenced Trust, we are writing this letter
to certify that:

          (1) the form of Prospectus that would have been filed under Rule
497(b) of the Securities Act of 1933, does not differ from that contained in the
most recent Post-Effective Amendment to the Registration Statement on Form S-6
(the "Registration Statement"), and

          (2) the text of the most recent Registration Statement was filed
electronically with the Securities and Exchange Commission on April 29, 1998 and
became effective April 30, 1998 pursuant to Rule 485(b).

                                       Equity Securities Trust,
                                        Series 4, EquiT's


                                       REICH & TANG DISTRIBUTORS, INC.



                                       By:    /S/ PETER J. DEMARCO
                                            ---------------------------
                                            Peter J. DeMarco



721335.1


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