EXHIBIT 32.1

CERTIFICATION OF CHIEF EXECUTIVE OFFICER

UNDER SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

I, Arnold S. Lippa, the Chief Executive Officer of Cortex Pharmaceuticals, Inc. (the “Company”), certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350, that:

(i)	The Quarterly Report on Form 10-Q of the Company for the quarterly period ended June 30, 2015 (the “Report”) fully complies with the requirements of Section 13(a) or Section 15(d) of the Securities Exchange Act of 1934; and
(ii)	The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

A signed original 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.

Date: August 13, 2015	By:	/s/ ARNOLD S. LIPPA
		Arnold S. Lippa
		Chief Executive Officer