BLACKROCK PRIME RATE TRUST
N-8A, 1999-02-19
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                     SECURITIES AND EXCHANGE COMMISSION 
                          Washington, D.C.  20549 
  
                                 FORM N-8A 
  
                NOTIFICATION OF REGISTRATION FILED PURSUANT  
           TO SECTION 8(A) OF THE INVESTMENT COMPANY ACT OF 1940 
  
      The undersigned investment company hereby notifies the Securities and
 Exchange Commission that it registers under and pursuant to the provisions
 of Section 8(a) of the Investment Company Act of 1940 and in connection
 with such notification of registration submits the following information: 
            
 Name:     The BlackRock Senior Income Trust 
  
 Address of Principal Business Office (No. & Street, City, State, zip Code): 
  
      c/o BlackRock Financial Management, Inc. 
      345 Park Avenue 
      New York, New York 10154 
  
 Telephone Number (including area code):  

      (212) 754-5300  
  
 Name and address of agent for service of process: 

      Ralph L. Schlosstein 
      c/o BlackRock Financial Management, Inc. 
      345 Park Avenue 
      New York, New York 10154 
  
 With copies of Notices and Communications to: 

      Thomas A. DeCapo 
      Skadden, Arps, Slate, Meagher & Flom LLP 
      One Beacon Street 
      Boston, Massachusetts 02108-3194 
  
 Check Appropriate Box: 

      Registrant is filing a Registration Statement pursuant to Section 8(b)
 of the Investment company Act of 1940 concurrently with the filing of form
 N-8A: YES [X] NO [ ] 
  
  
                                 SIGNATURE 
  
      Pursuant to the requirements of the Investment Company Act of 1940,
 the trustees of the registrant have caused this notification of
 registration to be duly signed on behalf of the registrant in the city of   
 New York and the state of New York on the 19th day of February, 1999.  
  
 [SEAL] 
  
                                     The BlackRock Senior Income Trust 
                                              (REGISTRANT) 
  
  
                                     By:  /s/ Ralph L. Schlosstein
                                        ------------------------------
                                        Ralph L. Schlosstein 
                                        Trustee and President 
    
  
 Attest:  /s/ Karen H. Sabath
          -----------------------
          Karen H. Sabat 
          Secretary 





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