AMENDMENT No. 4 to

                                  SCHEDULE 13G

                                 (Rule 13d-102)

 (Information to be Included in Statements Filed Pursuant to Rule 13d-1(b), (c)
          and (d)and Amendments Thereto Filed Pursuant to Rule 13d-2)

                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  SCHEDULE 13G

                    Under the Securities Exchange Act of 1934

                                  RAMBUS, INC.
                                (Name of Issuer)

                    Common Stock, $0.001 par value per share
                    ----------------------------------------
                         (Title of Class of Securities)

                                   750917-10-6
                                ----------------
                                 (CUSIP Number)

                         March 10, 2004, March 23, 2004
                         April 27, 2004, April 28, 2004
                         April 29, 2004, April 30, 2004
                     ---------------------------------------
             (Date of Event which Requires Filing of this Statement)

 Check the appropriate to designate the rule pursuant to which this
 Schedule is filed:

       [ ] Rule 13d-1(b)
       [x] Rule 13d-1(c)
       [ ] Rule 13d-1(d)

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).



---------------------                                          -----------------
CUSIP NO. 750917-10-6                    13G                   Page 2 of 5 Pages
---------------------                                          -----------------
--------------------------------------------------------------------------------
 1  NAME OF REPORTING PERSON
    S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

    Stuart J. Steele
--------------------------------------------------------------------------------
 2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*                    (a) [ ]
                                                                         (b) [X]
--------------------------------------------------------------------------------
 3  SEC USE ONLY

--------------------------------------------------------------------------------
 4  CITIZENSHIP OR PLACE OF ORGANIZATION

    U.S.A.
--------------------------------------------------------------------------------
                  5  SOLE VOTING POWER

                     7,350,191
    NUMBER OF    ---------------------------------------------------------------
      SHARES      6  SHARED VOTING POWER
   BENEFICIALLY
     OWNED BY        226,000
       EACH      ---------------------------------------------------------------
    REPORTING     7  SOLE DISPOSITIVE POWER
     PERSON
      WITH           7,350,191
                 ---------------------------------------------------------------
                  8  SHARED DISPOSITIVE POWER

                     226,000
--------------------------------------------------------------------------------
 9  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

    7,576,191
--------------------------------------------------------------------------------
10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*    [ ]

--------------------------------------------------------------------------------
11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

    7.4%
--------------------------------------------------------------------------------
12  TYPE OF REPORTING PERSON *

    IN
--------------------------------------------------------------------------------
                      *SEE INSTRUCTIONS BEFORE FILLING OUT!



                                  SCHEDULE 13G

---------------------                                          -----------------
CUSIP NO. 750917-10-6                                          Page 3 of 5 Pages
---------------------                                          -----------------

ITEM 1A.  NAME OF ISSUER.

Rambus, Inc.

ITEM 1B.  ADDRESS OF ISSUERS PRINCIPAL EXECUTIVE OFFICES.

4440 El Camino Road, Los Altos, California 94022

ITEM 2A.  NAME OF PERSON FILING.

Stuart J. Steele.

ITEM 2B.  ADDRESS OF PERSON FILING.

436 S. River Road, Bedford, New Hampshire 03110.

ITEM 2C.  CITIZENSHIP.

U.S.A.

ITEM 2D.  TITLE OF CLASS OF SECURITIES.

Common Stock, $.001 par value per share.

ITEM 2E.  CUSIP NUMBER.

750917-10-6

ITEM 3.  THIS REPORT IS FILED PURSUANT TO RULE 13D-1(C)



                                  SCHEDULE 13G

---------------------                                          -----------------
CUSIP NO. 750917-10-6                                          Page 4 of 5 Pages
---------------------                                          -----------------

ITEM 4.   OWNERSHIP.

(a)  Amount Beneficially Owned: 7,576,191

(b)  Percent of Class: 7.4%

(c)  Number of Shares as to which such person has:

     (i)    Sole power to vote or direct the vote: 7,350,191     7.2% of Class

     (ii)   Shared power to vote or direct the vote: 226,000     0.2% of Class

     (iii)  Sole power to dispose or to direct the disposition of:
            7,350,191     7.2% of Class

     (iv)   Shared power to dispose or to direct the disposition of:
            226,000     0.2% of Class

ITEM 5.   OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS.

If this statement is being filed to report the fact that as of the date hereof
the reporting person has ceased to be the beneficial owner of more than five
percent of the class of securities, check the following [ ].

ITEM 6.   OWNERSHIP OF MORE THAN FIVE PERCENT ON BEHALF OF ANOTHER PERSON.

Various persons have the right to receive or the power to direct the receipt of
dividends from, or the proceeds from the sale of, the common stock of Rambus,
Inc. No one person's interest in the common stock of Rambus, Inc. is more than
five percent of the total outstanding common stock.

ITEM 7.   IDENTIFICATION AND CLASSIFICATION OF SUBSIDIARY, ETC.

Not Applicable.



                                  SCHEDULE 13G

---------------------                                          -----------------
CUSIP NO. 750917-10-6                                          Page 5 of 5 Pages
---------------------                                          -----------------

ITEM 8.   IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP.

This Schedule is being filed on behalf of Stuart J. Steele as a joint owner of
certain shares with his wife and in his capacity as custodian of certain
accounts and under arrangements in which Mr. Steele shares voting and
dispositive power over certain shares. Under Section 13(d) of the Securities
Exchange Act of 1934, said persons may be deemed to be a "group".

ITEM 9.   NOTICE OF DISSOLUTION OF GROUP

Not Applicable

ITEM 10.  CERTIFICATIONS

By signing below I certify that, to the best of my knowledge and belief, the
securities referred to above were not acquired and are not held for the purpose
of or with the effect of changing or influencing the control of the issuer of
the securities and were not acquired and are not held in connection with or as a
participant in any transaction having that purpose or effect.


                                    SIGNATURE

     After reasonable inquiry and to the best of his or her knowledge and
belief, each of the undersigned certifies that the information set forth in this
statement with respect to him or her is true, complete and correct.

                                           May 4, 2004

                                           /s/ Stuart J. Steele
                                           -------------------------------------
                                                       (Signature)

                                           Name:  Stuart J. Steele, individually
                                           and as custodian on certain accounts