Exhibit 32.1 Statement of Chief Executive Officer Pursuant to Section 906 of the Sarbanes Oxley Act of 2002 Pursuant to Section 906 of the Sarbanes Oxley Act of 2002, I Joseph Feldschuh, MD, certify that: 1. The annual report on Form 10-K for the year ended December 31, 2003 of Daxor Corporation fully complies with the requirements of Section 13a or 15(d) of the Securities Exchange Act of 1934; and 2. The information contained in the Report fairly presents, in all material respects, the financial condition, and results of operations of the Company. Date: April 15, 2005 /s/ Joseph Feldschuh, MD -------------------------------- Joseph Feldschuh, MD President, Principal Executive Officer, and Chairman of the Board