Horizon Pharmaceutical 10-Q 2004 Q3 Quarterly report

EXHIBIT 32.2

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 quarterly report of Axonyx Inc. (the “Company”) on Form 10-Q for the period ended September 30, 2004 as filed with the Securities and Exchange Commission (the “Report”), I, S. Colin Neill, Chief Financial Officer, Secretary and Treasurer of the Company, certify, pursuant to 18 U.S.C. section 1350, as adopted pursuant to section 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge:

1. the Report fully complies with the requirements of section 13(a) 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.

/s/ S. Colin Neill
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S. Colin Neill

Chief Financial Officer, Secretary and Treasurer (Principal Financial and Accounting Officer)

November 10, 2004

A signed original of this written statement required by Section 906, or other document authenticating, acknowledging, or otherwise adopting the signature that appears in typed form within the electronic version of this written statement required by Section 906, has been provided to the Company and will be retained by the Company and furnished to the Securities and Exchange Commission or its staff upon request.