EXHIBIT 32.1

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

      In connection with the Annual Report of Infinity, Inc. (the “Company”) on Form 10-K for the year ended December 31, 2004, as filed with the Securities and Exchange Commission on the date hereof (the “Report”), the undersigned hereby certifies, pursuant to 18 U.S.C. §1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that:

      (1) The Report fully complies with the requirements of section 13(a) 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 result of operations of the Company.

/s/ Stanton E. Ross

Stanton E. Ross

President and Chief Executive Officer

March 30, 2005

      A signed original of this written statement required by Section 906 has been provided to Infinity, Inc. and will be retained by Infinity, Inc. and furnished to the Securities and Exchange Commission or its staff upon request.