Exhibit 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We hereby consent to the incorporation by reference in the Registration Statements on Form S-3 (Registration No. 333-252625) and Form S-8 (Registration No. 333-236457) of Annovis Bio, Inc. (the “Company”) of our report dated March 31, 2023, which includes an explanatory paragraph relating to the Annovis Bio, Inc.’s ability to continue as a going concern, relating to the financial statements of the Company as of and for the years ended December 31, 2022 and 2021, which appear in this Form 10-K.

/s/ WithumSmith+Brown, PC

East Brunswick, New Jersey

March 31, 2023

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