STRONG EQUITY FUNDS INC
497J, 1998-07-06
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                                CERTIFICATION OF                                
                           STRONG EQUITY FUNDS, INC.                            
                       ON BEHALF OF THE FOLLOWING SERIES:                       
                             STRONG INDEX 500 FUND                              


STRONG EQUITY FUNDS, INC. (the "Registrant") does hereby certify as follows:    

1.     This Certification is made pursuant to Rule 497(j) of the Securities Act 
of 1933.                                                                        

2.     Reference is made to the Strong Index 500 Fund's Prospectus and          
Statement of Additional Information each dated July 1, 1998 filed by the        
Registrant pursuant to Post-Effective Amendment No. 21 (File No. 33-70764;      
811-8100), which was filed with the Securities and Exchange Commission on June  
26, 1998 (the "Post-Effective Amendment").                                      

3.     The Post-Effective Amendment is the most recent post-effective amendment 
filed by the Registrant.                                                        

4.     The form of Strong Index 500 Fund's Prospectus and Statement of          
Additional Information that would have been filed under Rule 497(c) of the      
Securities Act of 1933 would not have differed from that contained in the       
Post-Effective Amendment.                                                       

5.     The text of the Post-Effective Amendment has been filed electronically.  

                    STRONG EQUITY FUNDS, INC.                                   


                    /S/ John S. Weitzer                                         
                    By:     John S. Weitzer                                     
                    Title:  Vice President                                   


Dated: July 6, 1998                                                             



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