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

Solely for the purposes of complying with 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, I, the undersigned President and Chief Executive Officer of Equity Oil Company, a Colorado corporation (the "Company"), hereby certify, based on my knowledge, that the Quarterly Report on Form 10-Q of the Company for the period ended March 31, 2004 (the "Report") fully complies with the requirements of Section 13(a) of the Securities Exchange Act of 1934 and that information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

	/s/ Paul M. Dougan
Paul M. Dougan, President and Chief Executive Officer May 12, 2004