Exhibit 99.2

Certification Pursuant to 18 U.S.C. Section 1350 As Adopted Pursuant to

Section 906 of the Sarbanes-Oxley Act of 2002

Certification

Pursuant to 18 U.S.C. § 1350, the undersigned officer of First Century Bankshares, Inc. (the “Company”) hereby certifies that the Company’s Quarterly Report on Form 10-Q for the quarter ended June 30, 2002 (the “Report”) fully complies with the requirements of Section 13(a) or 15(d), as applicable, of the Securities Exchange Act of 1934 and that the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Dated:   November 12, 2002        

    /s/    J. Ronald Hypes        

J. Ronald Hypes, Treasurer

(Chief Financial Officer)

The foregoing certification is being furnished solely pursuant to 18 U.S.C. § 1350 and is not being filed as part of the Report or as a separate disclosure document.

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