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

                             ----------------------

                                  SCHEDULE 13G

                    Under the Securities Exchange Act of 1934

                               CEL SCI Corporation
                                (Name of Issuer)

                                  Common Stock
                         (Title of Class of Securities)

                                    150837409

                                 (CUSIP Number)

                                   May 4, 2004
             (Date of event which requires filing of this statement)

      Check the appropriate box to designate the rule pursuant to which this
Schedule 13G 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 the disclosures provided in a prior cover page.

      The information required in 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).


                               Page 1 of 10 Pages


CUSIP No. 150837409                   13G                     Page 2 of 10 Pages

--------------------------------------------------------------------------------
1.   NAME OF REPORTING PERSONS
     I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

     The Riverview Group LLC
--------------------------------------------------------------------------------
2.   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*

                                                                 (a)  |X|
                                                                 (b)  |_|
--------------------------------------------------------------------------------
3.   SEC USE ONLY


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

     Delaware
--------------------------------------------------------------------------------
  NUMBER OF    5.   SOLE VOTING POWER

   SHARES           5,971,939
               -----------------------------------------------------------------
BENEFICIALLY   6.   SHARED VOTING POWER

  OWNED BY          --
               -----------------------------------------------------------------
    EACH       7.   SOLE DISPOSITIVE POWER

  REPORTING         --
               -----------------------------------------------------------------
   PERSON      8.   SHARED DISPOSITIVE POWER

    WITH            5,971,939
--------------------------------------------------------------------------------
9.   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

     5,971,939
--------------------------------------------------------------------------------
10.  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

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

     9.147%
--------------------------------------------------------------------------------
12.  TYPE OF REPORTING PERSON*

     00
--------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT!



CUSIP No. 150837409                   13G                     Page 3 of 10 Pages

--------------------------------------------------------------------------------
1.   NAME OF REPORTING PERSONS
     I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

     Millennium Holding Group, L.P.
--------------------------------------------------------------------------------
2.   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*

                                                                 (a)  |X|
                                                                 (b)  |_|
--------------------------------------------------------------------------------
3.   SEC USE ONLY


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

     Delaware
--------------------------------------------------------------------------------
  NUMBER OF    5.   SOLE VOTING POWER

   SHARES           --
               -----------------------------------------------------------------
BENEFICIALLY   6.   SHARED VOTING POWER

  OWNED BY          5,971,939
               -----------------------------------------------------------------
    EACH       7.   SOLE DISPOSITIVE POWER

  REPORTING         --
               -----------------------------------------------------------------
   PERSON      8.   SHARED DISPOSITIVE POWER

    WITH             5,971,939
--------------------------------------------------------------------------------
9.   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

     5,971,939
--------------------------------------------------------------------------------
10.  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

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

     9.147%
--------------------------------------------------------------------------------
12.  TYPE OF REPORTING PERSON*

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



CUSIP No. 150837409                   13G                     Page 4 of 10 Pages

--------------------------------------------------------------------------------
1.   NAME OF REPORTING PERSONS
     I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

     Millennium Management, LLC
--------------------------------------------------------------------------------
2.   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*

                                                                 (a)  |X|
                                                                 (b)  |_|
--------------------------------------------------------------------------------
3.   SEC USE ONLY


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

     Delaware
--------------------------------------------------------------------------------
  NUMBER OF    5.   SOLE VOTING POWER

   SHARES           --
               -----------------------------------------------------------------
BENEFICIALLY   6.   SHARED VOTING POWER

  OWNED BY          5,971,939
               -----------------------------------------------------------------
    EACH       7.   SOLE DISPOSITIVE POWER

  REPORTING         --
               -----------------------------------------------------------------
   PERSON      8.   SHARED DISPOSITIVE POWER

    WITH            5,971,939
--------------------------------------------------------------------------------
9.   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

     5,971,939
--------------------------------------------------------------------------------
10.  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

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

     9.147%
--------------------------------------------------------------------------------
12.  TYPE OF REPORTING PERSON*

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



CUSIP No. 150837409                   13G                     Page 5 of 10 Pages

--------------------------------------------------------------------------------
1.   NAME OF REPORTING PERSONS
     I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

     Israel A. Englander
--------------------------------------------------------------------------------
2.   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*

                                                                 (a)  |X|
                                                                 (b)  |_|
--------------------------------------------------------------------------------
3.   SEC USE ONLY


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

     United States
--------------------------------------------------------------------------------
  NUMBER OF    5.   SOLE VOTING POWER

   SHARES           --
               -----------------------------------------------------------------
BENEFICIALLY   6.   SHARED VOTING POWER

  OWNED BY          5,971,939
               -----------------------------------------------------------------
    EACH       7.   SOLE DISPOSITIVE POWER

  REPORTING         --
               -----------------------------------------------------------------
   PERSON      8.   SHARED DISPOSITIVE POWER

    WITH            5,971,939
--------------------------------------------------------------------------------
9.   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

     5,971,939
--------------------------------------------------------------------------------
10.  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

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

     9.147%
--------------------------------------------------------------------------------
12.  TYPE OF REPORTING PERSON*

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




CUSIP No. 150837409                   13G                     Page 6 of 10 Pages

Item 1.

(a)   Name of Issuer

            CEL SCI CORPORATION, a Colorado corporation.

(b)   Address of Issuer's Principal Executive Offices:

      8229 BOONE BLVD, SUITE 802
      VIENNA, VA 22182

Item 2(a). Name of Person Filing
Item 2(b). Address of Principal Business Office
Item 2(c). Citizenship

        The Riverview Group LLC
        c/o Millennium Management, LLC
        666 Fifth Avenue
        New York, New York 10103
        Citizenship: Delaware

        Millennium Holding Group, L.P.
        c/o Millennium Management, LLC
        666 Fifth Avenue
        New York, New York 10103
        Citizenship: Delaware

        Millennium Management, LLC
        666 Fifth Avenue
        New York, New York 10103
        Citizenship: Delaware

        Israel A. Englander
        c/o Millennium Management, LLC
        666 Fifth Avenue
        New York, New York 10103
        Citizenship: United States

Item 2(d)  Title of Class of Securities

        Common Stock

Item 2(e)  CUSIP Number

        150837409

Item 3. If this statement is filed pursuant to Rule 13d-1(b), or 13d-2(b) or
(c), check whether the person filing is a:

(a) |_| Broker or dealer registered under Section 15 of the Act (15 U.S.C. 78o).

(b) |_| Bank as defined in Section 3(a)(6) of the Act (15 U.S.C. 78c).

(c) |_| Insurance company as defined in Section 3(a)(19) of the Act
        (15 U.S.C. 78c).


CUSIP No. 150837409                   13G                     Page 7 of 10 Pages


(d) |_| Investment company registered under Section 8 of the Investment
        Company Act of 1940 (15 U.S.C. 80a-8).

(e) |_| An investment adviser in accordance with Rule 13d-1(b)(1)(ii)(E);

(f) |_| An employee benefit plan or endowment fund in accordance with
        Rule 13d-1(b)(1)(ii)(F);

(g) |_| A parent holding company or control person in accordance with
        Rule 13d-1(b)(1)(ii)(G);

(h) |_| A savings association as defined in Section 3(b) of the Federal
        Deposit Insurance Act (12 U.S.C. 1813);

(i) |_| A church plan that is excluded from the definition of an investment
        company under Section 3(c)(14) of the Investment Company Act of 1940
        (15 U.S.C. 80a-3);

(j) |_| Group, in accordance with Rule 13d-1(b)(1)(ii)(J).

If this statement is filed pursuant to Rule 13d-1(c), check this box. |X|

Item 4. Ownership

      Provide the following information regarding the aggregate number and
percentage of the class of securities of the issuer identified in Item 1.

      (a)   Amount beneficially owned:

            As of the date of this filing, each Reporting Person may be deemed
the beneficial owner of 5,971,939 shares of Common Stock owned by Riverview
Group LLC, a Delaware limited liability company ("Riverview").

            Note: The sole member of Riverview is Millennium Holding Group,
L.P., a Delaware limited partnership ("Holding"). Millennium Management, LLC, a
Delaware limited liability company ("Millennium Management"), is the general
partner of Holding and consequently has voting control and investment discretion
over securities owned by Holding and by Riverview. Israel A. Englander ("Mr.
Englander") is the sole managing member of Millennium Management. As a result,
Mr. Englander may be considered the beneficial owner of any shares deemed to be
beneficially owned by Millennium Management. The foregoing should not be
construed in and of itself as an admission by any of Holding, Millennium
Management or Mr. Englander as to beneficial ownership of the shares owned by
Riverview.

            Note: Millennium Partners, L.P., a Cayman Islands limited
partnership ("Partners"), is a limited partner of Holding. As a limited partner,
Partners has no investment or voting control over Holding or its securities
positions.

      (b) Percent of Class:



CUSIP No. 150837409                   13G                     Page 8 of 10 Pages

      Approximately 9.147% as of the date of this filing. (Based on shares
outstanding reported in Form 10Q dated February 10, 2004.)

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

            (i)   Sole power to vote or to direct the vote:

                  0

            (ii)  Shared power to vote or to direct the vote

                  5,971,939

            (iii) Sole power to dispose or to direct the disposition of

                  0

            (iv)  Shared power to dispose or to direct the disposition of

                  5,971,939

Item 5. Ownership of Five Percent or Less of a Class

      Not applicable.

Item 6. Ownership of More than Five Percent on Behalf of Another Person

      Not applicable.

Item 7. Identification and Classification of the Subsidiary Which Acquired the
        Security Being Reported on By the Parent Holding Company or Control
        Person

      Not applicable.

Item 8. Identification and Classification of Members of the Group

      This statement is filed by:

            (i)   Riverview;

            (ii)  Holding, as the sole member of Riverview;

            (iii) Millennium Management, as the general partner of Holding; and

            (iv)  Mr. Englander, as the sole managing member of Millennium
                  Management.

Item 9. Notice of Dissolution of Group

      Not applicable.

Item 10. Certification



CUSIP No. 150837409                   13G                     Page 9 of 10 Pages

      By signing below each of the undersigned certifies that, to the best of
its 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.



CUSIP No. 150837409                   13G                    Page 10 of 10 Pages

                                   SIGNATURES

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

Dated: May 12, 2004

THE RIVERVIEW GROUP LLC                 MILLENNIUM HOLDING GROUP, L.P.


By: Millennium Holding Group, L.P.,     By: Millennium Management, LLC
    its sole member                         its general partner


By: Millennium Management, LLC          By: /s/ Terry Feeney
    its general partner                    -----------------------------------
                                           Name:  Terry Feeney
                                           Title: Chief Operating Officer

By: /s/ Terry Feeney
   ---------------------------------
   Name:  Terry Feeney
   Title: Chief Operating Officer

MILLENNIUM MANAGEMENT, LLC


By: /s/ Terry Feeney                    /s/ Israel A. Englander
   ----------------------------------   --------------------------------------
   Name:  Terry Feeney                  Israel A. Englander
   Title: Chief Operating Officer