Exhibit 10.4


 


THE REGISTERED HOLDER OF THIS PURCHASE WARRANT
BY ITS ACCEPTANCE HEREOF, AGREES THAT IT WILL NOT SELL, TRANSFER OR ASSIGN THIS PURCHASE WARRANT EXCEPT AS HEREIN PROVIDED AND THE REGISTERED
HOLDER OF THIS PURCHASE WARRANT AGREES THAT IT WILL NOT SELL, TRANSFER, ASSIGN, PLEDGE OR HYPOTHECATE THIS PURCHASE WARRANT OR CAUSE IT
TO BE THE SUBJECT OF ANY HEDGING, SHORT SALE, DERIVATIVE, PUT, OR CALL TRANSACTION THAT WOULD RESULT IN THE EFFECTIVE ECONOMIC DISPOSITION
OF THE PURCHASE WARRANT BY ANY PERSON FOR A PERIOD OF ONE HUNDRED EIGHTY (180) DAYS FOLLOWING THE EFFECTIVE DATE (DEFINED BELOW) TO ANYONE
OTHER THAN (I) ALEXANDER CAPITAL, L.P. OR AN UNDERWRITER OR A SELECTED DEALER IN CONNECTION WITH THE OFFERING, OR (II) A BONA
FIDE OFFICER OR PARTNER OF ALEXANDER CAPITAL, L.P. OR OF ANY SUCH UNDERWRITER OR SELECTED DEALER AND IN ACCORDANCE WITH FINRA RULE 5110(E)(2).


 


THIS PURCHASE WARRANT IS NOT EXERCISABLE PRIOR
TO ___ [DATE THAT IS 180 DAYS FROM THE EFFECTIVE DATE OF THE OFFERING] VOID AFTER 5:00 P.M., EASTERN TIME, ____, 202__ [DATE THAT IS FIVE
YEARS FROM THE EFFECTIVE DATE OF THE OFFERING].


 


COMMON STOCK PURCHASE WARRANT


 


For the Purchase of _______ Shares of Common Stock

of

ACURX PHARMACEUTICALS, INC.


 


1.              Purchase
Warrant. THIS CERTIFIES THAT, in consideration of funds duly paid by or on behalf of __________ (“Holder”), as
registered owner of this Common Stock Purchase Warrant (this “Purchase Warrant”), to Acurx Pharmaceuticals, Inc.,
a Delaware corporation (the “Company”), Holder is entitled, at any time or from time to time from ___, [DATE THAT IS
180 DAYS FROM THE EFFECTIVE DATE OF THE OFFERING] (the “Commencement Date”), and at or before 5:00 p.m., Eastern time,
____, 202__ [DATE THAT IS FIVE YEARS FROM THE EFFECTIVE DATE OF THE OFFERING] (the “Expiration Date”), but not thereafter,
to subscribe for, purchase and receive, in whole or in part, up to               shares
(the “Shares”) of common stock of the Company, par value $0.001 per share (the “Common Stock”),
subject to adjustment as provided in Section 5 hereof. If the Expiration Date is a day on which banking institutions are authorized
by law to close, then this Purchase Warrant may be exercised on the next succeeding day which is not such a day in accordance with the
terms herein. During the period ending on the Expiration Date, the Company agrees not to take any action that would terminate this Purchase
Warrant. This Purchase Warrant is initially exercisable at $__ per Share [125% of the price of the Shares sold in the Offering];
provided, however, that upon the occurrence of any of the events specified in Section 5 hereof, the rights granted
by this Purchase Warrant, including the exercise price per Share and the number of Shares to be received upon such exercise, shall be
adjusted as therein specified. This Purchase Warrant is being issued pursuant to the certain Underwriting Agreement (the “Underwriting
Agreement”), dated ___, 2021, by and among the Company, the Representative and other underwriters named therein, providing for
the public offering (the “Offering”) of shares of Common Stock. The term “Effective Date” shall
mean the effective date of the Registration Statement on Form S-1 (File No. 333-___). The term “Exercise Price”
shall mean the initial exercise price or the adjusted exercise price, depending on the context. Initially capitalized terms not otherwise
defined herein shall have the meanings given to those terms in the Underwriting Agreement.


 






     


     


    

 


1.            Exercise.


 


1.1            Exercise
Form. In order to exercise this Purchase Warrant, the exercise form attached hereto must be duly executed and completed and delivered
to the Company, together with this Purchase Warrant and payment of the Exercise Price for the Shares being purchased payable in cash by
wire transfer of immediately available funds to an account designated by the Company or by certified check or official bank check. If
the subscription rights represented hereby shall not be exercised at or before 5:00 p.m., Eastern time, on the Expiration Date, this Purchase
Warrant shall become and be void without further force or effect, and all rights represented hereby shall cease and expire.


 


1.2            Cashless
Exercise. If at any time after the Commencement Date there is no effective registration statement registering or no current prospectus
available for the resale of the Shares by the Holder, then in lieu of exercising this Purchase Warrant by payment of cash or check payable
to the order of the Company pursuant to Section 1.1 above, Holder may elect to receive the number of Shares equal to the value of
this Purchase Warrant (or the portion thereof being exercised), by surrender of this Purchase Warrant to the Company, together with the
exercise form attached hereto, in which event the Company shall issue to Holder, Shares in accordance with the following formula:


 


	X = 	Y(A-B)
	A


 


Where,


 


X = The number of Shares to be issued to Holder;


Y = The number of Shares for which the Purchase Warrant
is being exercised;


A = The fair market value of one Share; and


B = The Exercise Price.


 


For purposes of this Section 1.2,
the fair market value of a Share is defined as follows:


 


(i)            if
the Company’s Common Stock is traded on a securities exchange, the fair market value shall be deemed to be the closing price on
such exchange on the trading day immediately prior to the date the exercise form is submitted to the Company in connection with the exercise
of the Purchase Warrant; or


 


(ii)            if
the Company’s Common Stock is actively traded over-the-counter, the fair market value shall be deemed to be the closing bid price
on the trading day immediately prior to the date the exercise form is submitted to the Company in connection with the exercise of the
Purchase Warrant; or


 






     


     


    

 


(iii)            if
there is no active public market, the value shall be the fair market value thereof, as determined in good faith by the Company’s
Board of Directors.


 


1.3            Legend.
Each certificate for the securities purchased under this Purchase Warrant shall bear a legend as follows unless such securities have been
registered under the Securities Act of 1933, as amended (the “Act”):


 


“The securities represented
by this certificate have not been registered under the Securities Act of 1933, as amended (the “Act”), or applicable
state law. Neither the securities nor any interest therein may be offered for sale, sold or otherwise transferred except pursuant to an
effective registration statement under the Securities Act, or pursuant to an exemption from registration under the Securities Act and
applicable state law which, in the opinion of counsel to the Company, is available.”


 


1.4          No
Obligation to Net Cash Settle. Notwithstanding anything to the contrary contained in this Purchase Warrant, in no event will the
Company be required to net cash settle the exercise of the Purchase Warrant. The holder of the Purchase Warrant will not be entitled to
exercise the Purchase Option unless it exercises such Purchase Warrant pursuant to the cashless exercise right or a registration statement
is effective, or an exemption from the registration requirements is available at such time and, if the Holder is not able to exercise
the Purchase Warrant, the Purchase Warrant will expire worthless.


 


2.             Transfer.


 


2.1            General
Restrictions. The registered Holder of this Purchase Warrant agrees by his, her or its acceptance hereof, that such Holder will
not: (a) sell, transfer, assign, pledge or hypothecate this Purchase Warrant for a period of one hundred eighty (180) days following
the Effective Date to anyone other than: (i) Alexander Capital, L.P. (“Alexander Capital”) or another underwriter
or a selected dealer participating in the Offering, or (ii) a bona fide officer or partner of Alexander Capital or of any such underwriter
or selected dealer, in each case in accordance with FINRA Rule 5110(e)(1), or (b) cause this Purchase Warrant or the securities
issuable hereunder to be the subject of any hedging, short sale, derivative, put or call transaction that would result in the effective
economic disposition of this Purchase Warrant or the securities hereunder, except as provided for in FINRA Rule 5110(e)(2). On and
after one (1) year after the Effective Date, transfers to others may be made subject to compliance with or exemptions from applicable
securities laws. In order to make any permitted assignment, the Holder must deliver to the Company the assignment form attached hereto
duly executed and completed, together with this Purchase Warrant and payment of all transfer taxes, if any, payable in connection therewith.
The Company shall within five (5) Business Days transfer this Purchase Warrant on the books of the Company and shall execute and
deliver a new purchase warrants or purchase warrants of like tenor to the appropriate assignee(s) expressly evidencing the right
to purchase the aggregate number of Shares purchasable hereunder or such portion of such number as shall be contemplated by any such assignment.


 






     


     


    

 


2.2            Restrictions
Imposed by the Securities Act. The securities evidenced by this Purchase Warrant shall not be transferred unless and until: (i) the
Company has received the opinion of counsel for the Holder that the securities may be transferred pursuant to an exemption from registration
under the Securities Act and applicable state securities laws, the availability of which is established to the reasonable satisfaction
of the Company (the Company hereby agreeing that the opinion of Sullivan & Worcester LLP shall be deemed satisfactory evidence
of the availability of an exemption), or (ii) a registration statement or a post-effective amendment to the registration statement
relating to the offer and sale of such securities has been filed by the Company and declared effective by the U.S. Securities and Exchange
Commission (the “Commission”) and compliance with applicable state securities law has been established.


 


3.            Registration
Rights.


 


3.1            “Piggy-Back”
Registration.


 


3.1.1            Grant
of Right. The Holder, along with the holders of all of the other Representative’s Warrants (as such term is defined in the Underwriting
Agreement) shall have the right, for a period of no more than seven (7) years after the Commencement Date in accordance with FINRA
Rule 5110(g)(8)(D), to include any portion of the Shares underlying this Purchase Warrant and the shares of Common Stock underlying
all of the other Representative’s Warrants (collectively, the “Registrable Securities”) as part of any other
registration of securities filed by the Company (other than in connection with a transaction contemplated by Rule 145(a) promulgated
under the Securities Act or pursuant to Form S-8 or any equivalent form); provided, however, that if, solely in connection
with any primary underwritten public offering for the account of the Company, the managing underwriter(s) thereof shall, in its reasonable
discretion, impose a limitation on the number of shares of Common Stock which may be included in the registration statement because, in
such underwriter(s)’ judgment, marketing or other factors dictate such limitation is necessary to facilitate public distribution,
then the Company shall be obligated to include in such registration statement only such limited portion of the Registrable Securities
with respect to which the Holder and the holders of the other Representative’s Warrants have requested inclusion thereunder as the
underwriter shall reasonably permit. Any exclusion of Registrable Securities shall be made pro rata among the Holder and the holders of
the other Representative’s Warrants seeking to include Registrable Securities in proportion to the number of Registrable Securities
sought to be included by the holder and the holders of the other Representative’s Warrants; provided, however, that
the Company shall not exclude any Registrable Securities unless the Company has first excluded all outstanding securities, the holders
of which are not entitled to inclusion of such securities in such registration statement or are not entitled to pro rata inclusion with
the Registrable Securities.


 


3.1.2            Terms.
The Company shall bear all fees and expenses attendant to registering the Registrable Securities pursuant to Section 3.1.1 hereof,
but the Holder and the holders of the other Representative’s Warrants shall pay any and all underwriting commissions and the expenses
of any legal counsel selected by the Holder and the holders of the other Representative Warrants to represent them in connection with
the sale of the Registrable Securities. In the event of such a proposed registration, the Company shall furnish the then holders of outstanding
Registrable Securities with not less than thirty (30) days written notice prior to the proposed date of filing of such registration statement.
Such notice to such holders shall continue to be given for each registration statement filed by the Company until such time as all of
the Registrable Securities have been sold by the Holder and the holders of the other Representative Warrants. The holders of the Registrable
Securities shall exercise the “piggy-back” rights provided for herein by giving written notice within ten (10) days of
the receipt of the Company’s notice of its intention to file a registration statement. Except as otherwise provided in this Purchase
Warrant, there shall be no limit on the number of times the Holder may request registration under this Section 3.1.2; provided,
however, that such registration rights shall terminate upon on the seventh anniversary of the Commencement Date.


 






     


     


    

 


3.2            General
Terms.


 


3.2.1            Indemnification.
The Company shall indemnify the Holder(s) of the Registrable Securities to be sold pursuant to any registration statement hereunder
and each person, if any, who controls such Holders within the meaning of Section 15 of the Securities Act or Section 20(a) of
the Securities Exchange Act of 1934, as amended (the “Exchange Act”), against all loss, claim, damage, expense or liability
(including all reasonable attorneys’ fees and other expenses reasonably incurred in investigating, preparing or defending against
any claim whatsoever) to which any of them may become subject under the Securities Act, the Exchange Act or otherwise, arising from such
registration statement but only to the same extent and with the same effect as the provisions pursuant to which the Company has agreed
to indemnify the Underwriters contained in Section 5.1 of the Underwriting Agreement between the Underwriters and the Company, dated
as of ____, 2021. The Holder(s) of the Registrable Securities to be sold pursuant to such registration statement, and their successors
and assigns, shall severally, and not jointly, indemnify the Company and its affiliates, against all loss, claim, damage, expense or liability
(including all reasonable attorneys’ fees and other expenses reasonably incurred in investigating, preparing or defending against
any claim whatsoever) to which they may become subject under the Securities Act, the Exchange Act or otherwise, arising from information
furnished by or on behalf of such Holders, or their successors or assigns, in writing, for specific inclusion in such registration statement
to the same extent and with the same effect as the provisions contained in Section 5.2 of the Underwriting Agreement pursuant to
which the Underwriters have agreed to indemnify the Company.


 


3.2.2           Exercise
of Purchase Warrant. Nothing contained in this Purchase Warrant shall be construed as requiring the Holder to exercise this Purchase
Warrant prior to or after the initial filing of any registration statement or the effectiveness thereof.


 


3.2.3           Documents
Delivered to Holders. The Company shall furnish to each Holder participating in any underwritten offerings and to each underwriter
of any such offering, a signed counterpart, addressed to such Holder and underwriter, of: (i) an opinion of counsel to the Company,
dated the effective date of such registration statement (and an opinion dated the date of the closing under any underwriting agreement
related thereto), and (ii) a “cold comfort” letter dated the effective date of such registration statement (and a letter
dated the date of the closing under the underwriting agreement) signed by the independent registered public accounting firm which has
issued a report on the Company’s financial statements included in such registration statement, in each case covering substantially
the same matters with respect to such registration statement (and the prospectus included therein) and, in the case of such accountants’
letter, with respect to events subsequent to the date of such financial statements, as are customarily covered in opinions of issuer’s
counsel and in accountants’ letters delivered to underwriters in underwritten public offerings of securities. The Company shall
also deliver promptly to each Holder participating in the underwritten offering requesting the correspondence and memoranda described
below and to the managing underwriter copies of all correspondence between the Commission and the Company, its counsel or auditors and
all memoranda relating to discussions with the Commission or its staff with respect to the registration statement and permit each Holder
and underwriter to do such investigation, upon reasonable advance notice, with respect to information contained in or omitted from the
registration statement as it deems reasonably necessary to comply with applicable securities laws or rules of FINRA. Such investigation
shall include access to books, records and properties and opportunities to discuss the business of the Company with its officers and independent
auditors, all to such reasonable extent and at such reasonable times as any such Holder shall reasonably request.


 






     


     


    

 


3.2.4         Underwriting
Agreement. In the event the Company shall enter into an underwriting agreement with any managing underwriter(s), if any, selected
by the Company with respect to the Registrable Securities that are being registered pursuant to this Section 3, which managing underwriter
shall be reasonably satisfactory to the holders of at least 51% of the Registerable Securities, such agreement shall be reasonably satisfactory
in form and substance to the Company and such managing underwriters, and shall contain such representations, warranties and covenants
by the Company and such other terms as are customarily contained in agreements of that type used by the managing underwriter. The Holders
shall be parties to any underwriting agreement relating to an underwritten sale of their Registrable Securities and may, at their option,
require that any or all the representations, warranties and covenants of the Company to or for the benefit of such underwriters shall
also be made to and for the benefit of such Holders. Such Holders shall not be required to make any representations or warranties to or
agreements with the Company or the underwriters except as they may relate to such Holders, their Shares and their intended methods of
distribution.


 


3.2.5            Documents
to be Delivered by Holder(s). Each of the Holder(s) participating in any of the foregoing offerings shall furnish to the Company
a completed and executed questionnaire provided by the Company requesting information customarily sought of selling security holders.


 


3.2.6           Damages.
Should the registration or the effectiveness thereof required by Section 3.1 hereof be delayed by the Company or the Company otherwise
fails to comply with such provisions, the Holder(s) shall, in addition to any other legal or other relief available to the Holder(s),
be entitled to seek specific performance or other equitable (including injunctive) relief against the threatened breach of such provisions
or the continuation of any such breach, without the necessity of proving actual damages and without the necessity of posting bond or other
security.


 


4.            New
Purchase Warrants to be Issued.


 


4.1            Partial
Exercise or Transfer. Subject to the restrictions in Section 2 hereof, this Purchase Warrant may be exercised or assigned
in whole or in part. In the event of the exercise or assignment hereof in part only, upon surrender of this Purchase Warrant for cancellation,
together with the duly executed exercise or assignment form and funds sufficient to pay any Exercise Price and/or transfer tax if exercised
pursuant to Section 1.1 hereto, the Company shall cause to be delivered to the Holder without charge a new Purchase Warrant of like
tenor to this Purchase Warrant in the name of the Holder evidencing the right of the Holder to purchase the number of Shares purchasable
hereunder as to which this Purchase Warrant has not been exercised or assigned.


 






     


     


    

 


4.2            Lost
Certificate. Upon receipt by the Company of evidence satisfactory to it of the loss, theft, destruction or mutilation of this
Purchase Warrant and of reasonably satisfactory indemnification or the posting of a bond, the Company shall execute and deliver a new
Purchase Warrant of like tenor and date. Any such new Purchase Warrant executed and delivered as a result of such loss, theft, mutilation
or destruction shall constitute a substitute contractual obligation on the part of the Company.


 


5.            Adjustments.


 


5.1            Adjustments
to Exercise Price and Number of Securities. The Exercise Price and the number of Shares underlying this Purchase Warrant shall
be subject to adjustment from time to time as hereinafter set forth:


 


5.1.1          Share
Dividends; Split Ups. If, after the date hereof, and subject to the provisions of Section 5.3 below, the number of outstanding
Shares is increased by a stock dividend payable in Shares or by a split up of Shares or other similar event, then, on the effective day
thereof, the number of Shares purchasable hereunder shall be increased in proportion to such increase in outstanding Shares, and the Exercise
Price shall be proportionately decreased.


 


5.1.2          Aggregation
of Shares. If, after the date hereof, and subject to the provisions of Section 5.3 below, the number of outstanding Shares is
decreased by a consolidation, combination or reclassification of Shares or other similar event, then, on the effective date thereof, the
number of Shares purchasable hereunder shall be decreased in proportion to such decrease in outstanding Shares, and the Exercise Price
shall be proportionately increased.


 


5.1.3          Replacement
of Securities upon Reorganization, etc. In case of any reclassification or reorganization of the outstanding Shares other than
a change covered by Section 5.1.1 or 5.1.2 hereof or that solely affects the par value of such Shares, or in the case of any share
reconstruction or amalgamation or consolidation of the Company with or into another corporation or other entity (other than a consolidation
or share reconstruction or amalgamation in which the Company is the continuing corporation and that does not result in any reclassification
or reorganization of the outstanding Shares), or in the case of any sale or conveyance to another corporation or entity of the property
of the Company as an entirety or substantially as an entirety in connection with which the Company is dissolved, the Holder of this Purchase
Warrant shall have the right thereafter (until the expiration of the right of exercise of this Purchase Warrant) to receive upon the exercise
hereof, for the same aggregate Exercise Price payable hereunder immediately prior to such event, the kind and amount of shares of stock
or other securities or property (including cash) receivable upon such reclassification, reorganization, share reconstruction or amalgamation,
or consolidation, or upon a dissolution following any such sale or transfer, by a Holder of the number of Shares of the Company obtainable
upon exercise of this Purchase Warrant immediately prior to such event; and if any reclassification also results in a change in Shares
covered by Section 5.1.1 or 5.1.2, then such adjustment shall be made pursuant to Sections 5.1.1, 5.1.2 and this Section 5.1.3.
The provisions of this Section 5.1.3 shall similarly apply to successive reclassifications, reorganizations, share reconstructions
or amalgamations, or consolidations, sales or other transfers.


 






     


     


    

 


5.1.4            Changes
in Form of Purchase Warrant. This form of Purchase Warrant need not be changed because of any change pursuant to this Section 5.1,
and Purchase Warrants issued after such change may state the same Exercise Price and the same number of Shares as are stated in the Purchase
Warrants initially issued pursuant to this Agreement. The acceptance by any Holder of the issuance of new Purchase Warrants reflecting
a required or permissive change shall not be deemed to waive any rights to an adjustment occurring after the Commencement Date or the
computation thereof.


 


5.2          Substitute
Purchase Warrant. In case of any consolidation of the Company with, or share reconstruction or amalgamation of the Company with
or into, another corporation or other entity (other than a consolidation or share reconstruction or amalgamation which does not result
in any reclassification or change of the outstanding Shares), the corporation or other entity formed by such consolidation or share reconstruction
or amalgamation shall execute and deliver to the Holder a supplemental Purchase Warrant providing that the holder of each Purchase Warrant
then outstanding or to be outstanding shall have the right thereafter (until the stated expiration of such Purchase Warrant) to receive,
upon exercise of such Purchase Warrant, the kind and amount of shares of stock and other securities and property receivable upon such
consolidation or share reconstruction or amalgamation, by a holder of the number of Shares of the Company for which such Purchase Warrant
might have been exercised immediately prior to such consolidation, share reconstruction or amalgamation, sale or transfer. Such supplemental
Purchase Warrant shall provide for adjustments which shall be identical to the adjustments provided for in this Section 5. The above
provision of this Section shall similarly apply to successive consolidations or share reconstructions or amalgamations.


 


5.3          Elimination
of Fractional Interests. The Company shall not be required to issue certificates representing fractions of Shares upon the exercise
of this Purchase Warrant, nor shall it be required to issue scrip or pay cash in lieu of any fractional interests, it being the intent
of the parties that all fractional interests shall be eliminated by rounding any fraction up or down, as the case may be, to the nearest
whole number of Shares or other securities, properties or rights.


 


6.            Reservation
and Listing. The Company shall at all times reserve and keep available out of its authorized Shares, solely for the purpose of issuance
upon exercise of this Purchase Warrant, such number of Shares or other securities, properties or rights as shall be issuable upon the
exercise thereof. The Company covenants and agrees that, upon exercise of this Purchase Warrant and payment of the Exercise Price therefor,
in accordance with the terms hereby, all Shares and other securities issuable upon such exercise shall be duly and validly issued, fully
paid and non-assessable and not subject to preemptive rights of any stockholder. The Company further covenants and agrees that upon exercise
of this Purchase Warrant and payment of the exercise price therefor, all Shares and other securities issuable upon such exercise shall
be duly and validly issued, fully paid and non-assessable and not subject to preemptive rights of any stockholder. As long as this Purchase
Warrant shall be outstanding, the Company shall use its commercially reasonable efforts to cause all Shares issuable upon exercise of
this Purchase Warrant to be listed (subject to official notice of issuance) on all national securities exchanges (or, if applicable, on
the OTC Bulletin Board or any successor trading market) on which the Shares issued to the public in the Offering may then be listed and/or
quoted.


 






     


     


    

 


7.            Certain
Notice Requirements.


 


7.1           Holder’s
Right to Receive Notice. Nothing herein shall be construed as conferring upon the Holders the right to vote or consent or to receive
notice as a stockholder for the election of directors or any other matter, or as having any rights whatsoever as a stockholder of the
Company. If, however, at any time prior to the expiration of this Purchase Warrant and their exercise, any of the events described in
Section 7.2 shall occur, then, in one or more of said events, the Company shall give written notice of such event at least fifteen
(15) days prior to the date fixed as a record date or the date of closing the transfer books for the determination of the stockholders
entitled to such dividend, distribution, conversion or exchange of securities or subscription rights, or entitled to vote on such proposed
dissolution, liquidation, winding up or sale. Such notice shall specify such record date or the date of the closing of the transfer books,
as the case may be. Notwithstanding the foregoing, the Company shall deliver to each Holder a copy of each notice given to the other stockholders
of the Company at the same time and in the same manner that such notice is given to the stockholders.


 


7.2          Events
Requiring Notice. The Company shall be required to give the notice described in this Section 7 upon one or more of the following
events: (i) if the Company shall take a record of the holders of its Shares for the purpose of entitling them to receive a dividend
or distribution payable otherwise than in cash, or a cash dividend or distribution payable otherwise than out of retained earnings, as
indicated by the accounting treatment of such dividend or distribution on the books of the Company, (ii) the Company shall offer
to all the holders of its Shares any additional shares of capital stock of the Company or securities convertible into or exchangeable
for shares of capital stock of the Company, or any option, right or warrant to subscribe therefor, or (iii) a dissolution, liquidation
or winding up of the Company (other than in connection with a consolidation or share reconstruction or amalgamation) or a sale of all
or substantially all of its property, assets and business shall be proposed.


 


7.3        Notice
of Change in Exercise Price. The Company shall, promptly after an event requiring a change in the Exercise Price pursuant to Section 5
hereof, send notice to the Holders of such event and change (“Price Notice”). The Price Notice shall describe the event
causing the change and the method of calculating same and shall be certified as being true and accurate by the Company’s Chief Financial
Officer.


 


7.4           Transmittal
of Notices. All notices, requests, consents and other communications under this Purchase Warrant shall be in writing and shall
be deemed to have been duly made when hand delivered, or mailed by express mail or private courier service: (i) if to the registered
Holder of this Purchase Warrant, to the address of such Holder as shown on the books of the Company, or (ii) if to the Company, to
following address or to such other address as the Company may designate by notice to the Holders:


 






     


     


    

 


If to the Holder:


 


____________

____________

____________

Attn:


 


with a copy (which shall not constitute notice) to:


 


Sullivan & Worcester LLP

1633 Broadway

New York, NY 10019

Attn: David E. Danovitch, Esq.

Email: ddanovitch@sullivanlaw.com


 


If to the Company:


 


Acurx Pharmaceuticals, Inc.

259 Liberty Avenue

Staten Island, NY 10305

Attention: David P. Luci, President and Chief Executive Officer

Email: davidluci@acurxpharma.com


 


with a copy (which shall not constitute notice) to:


 


Mintz, Levin, Cohn, Ferris, Glovsky and Popeo, P.C.

666 Third Avenue


New York, NY 10017


		Email:	IKBlumenthal@mintz.com
	 	 	DABagliebter@mintz.com



 


8.            Miscellaneous.


 


8.1            Amendments.
The Company and Alexander Capital may from time to time supplement or amend this Purchase Warrant without the approval of any of the Holders
in order to cure any ambiguity, to correct or supplement any provision contained herein that may be defective or inconsistent with any
other provisions herein, or to make any other provisions in regard to matters or questions arising hereunder that the Company and Alexander
Capital may deem necessary or desirable and that the Company and Alexander Capital deem shall not adversely affect the interest of the
Holders. All other modifications or amendments shall require the written consent of and be signed by the party against whom enforcement
of the modification or amendment is sought.


 


8.2            Headings.
The headings contained herein are for the sole purpose of convenience of reference, and shall not in any way limit or affect the meaning
or interpretation of any of the terms or provisions of this Purchase Warrant.


 






     


     


    

 


8.3           Entire
Agreement. This Purchase Warrant (together with the other agreements and documents being delivered pursuant to or in connection
with this Purchase Warrant) constitutes the entire agreement of the parties hereto with respect to the subject matter hereof, and supersedes
all prior agreements and understandings of the parties, oral and written, with respect to the subject matter hereof.


 


8.4           Binding
Effect. This Purchase Warrant shall inure solely to the benefit of and shall be binding upon, the Holder and the Company and their
permitted assignees, respective successors, legal representative and assigns, and no other person shall have or be construed to have any
legal or equitable right, remedy or claim under or in respect of or by virtue of this Purchase Warrant or any provisions herein contained.


 


8.5          Governing
Law; Submission to Jurisdiction; Trial by Jury. This Purchase Warrant shall be governed by and construed and enforced in accordance
with the laws of the State of New York, without giving effect to conflict of laws principles thereof. The Company hereby agrees that any
action, proceeding or claim against it arising out of, or relating in any way to this Purchase Warrant shall be brought and enforced in
the New York Supreme Court, County of New York, or in the United States District Court for the Southern District of New York, and irrevocably
submits to such jurisdiction, which jurisdiction shall be exclusive. The Company hereby waives any objection to such exclusive jurisdiction
and that such courts represent an inconvenient forum. Any process or summons to be served upon the Company may be served by transmitting
a copy thereof by registered or certified mail, return receipt requested, postage prepaid, addressed to it at the address set forth in
Section 7 hereof. Such mailing shall be deemed personal service and shall be legal and binding upon the Company in any action, proceeding
or claim. The Company and the Holder agree that the prevailing party(ies) in any such action shall be entitled to recover from the other
party(ies) all of its reasonable attorneys’ fees and expenses relating to such action or proceeding and/or incurred in connection
with the preparation therefor. The Company (on its behalf and, to the extent permitted by applicable law, on behalf of its stockholders
and affiliates) and the Holder hereby irrevocably waive, to the fullest extent permitted by applicable law, any and all right to trial
by jury in any legal proceeding arising out of or relating to this Agreement or the transactions contemplated hereby.


 


8.6          Waiver, etc.
The failure of the Company or the Holder to at any time enforce any of the provisions of this Purchase Warrant shall not be deemed or
construed to be a waiver of any such provision, nor to in any way affect the validity of this Purchase Warrant or any provision hereof
or the right of the Company or any Holder to thereafter enforce each and every provision of this Purchase Warrant. No waiver of any breach,
non-compliance or non-fulfillment of any of the provisions of this Purchase Warrant shall be effective unless set forth in a written instrument
executed by the party or parties against whom or which enforcement of such waiver is sought; and no waiver of any such breach, non-compliance
or non-fulfillment shall be construed or deemed to be a waiver of any other or subsequent breach, non-compliance or non-fulfillment.


 


8.7          Execution
in Counterparts. This Purchase Warrant may be executed in one or more counterparts, and by the different parties hereto in separate
counterparts, each of which shall be deemed to be an original, but all of which taken together shall constitute one and the same agreement,
and shall become effective when one or more counterparts has been signed by each of the parties hereto and delivered to each of the other
parties hereto. Such counterparts may be delivered by facsimile transmission or other electronic transmission.


 


[Signature Page Follows]


 






     


     


    

 


IN WITNESS WHEREOF, the Company
has caused this Purchase Warrant to be signed by its duly authorized officer as of the ______ day of ________________, 2021.


 


	 	ACURX PHARMACEUTICALS, INC.
	 	 
	 	By:	 
	 	 	Name:	David P. Luci
	 	 	Title:	President and Chief Executive Officer



 






     


     


    

 


[Form to be used to exercise Purchase Warrant]


 


Date: _______________, 20___


 


The
undersigned hereby elects irrevocably to exercise the Purchase Warrant for          shares
of common stock, par value $0.001 per share (the “Shares”), of Acurx Pharmaceuticals, Inc., a Delaware
corporation (the “Company”), and hereby makes payment of
$               (at
the rate of $__ per Share) in payment of the Exercise Price pursuant thereto. Please issue the Shares as to which this Purchase
Warrant is exercised in accordance with the instructions given below and, if applicable, a new Purchase Warrant representing the
number of Shares for which this Purchase Warrant has not been exercised.


 


or


 


The undersigned hereby elects
irrevocably to convert its right to purchase ___ Shares of the Company under the Purchase Warrant for ______ Shares, as determined in
accordance with the following formula:


 


	X = 	Y(A-B)
	A


 


Where,


 


X = The number of Shares to be issued to Holder;


Y = The number of Shares for which the Purchase Warrant
is being exercised;


A = The fair market value of one Share which is equal to
$_____; and


B = The Exercise Price which is equal to $______ per share


 


The undersigned agrees and
acknowledges that the calculation set forth above is subject to confirmation by the Company and any disagreement with respect to the calculation
shall be resolved by the Company in its sole discretion.


 


Please issue the Shares as
to which this Purchase Warrant is exercised in accordance with the instructions given below and, if applicable, a new Purchase Warrant
representing the number of Shares for which this Purchase Warrant has not been converted.


 


Signature


 


	Signature Guaranteed	 	 



 






     


     


    

 


INSTRUCTIONS FOR REGISTRATION OF SECURITIES


 


	Name:	 
	 	 
	(Print in Block Letters)	 
	 	 
	Address:	 	 
	 	 	 
	 	 	 
	 	 	 
	 	 	 



 


NOTICE: The signature to this
form must correspond with the name as written upon the face of the Purchase Warrant without alteration or enlargement or any change whatsoever,
and must be guaranteed by a bank, other than a savings bank, or by a trust company or by a firm having membership on a registered national
securities exchange.


 






     


     


    

 


[Form to be used to assign Purchase Warrant]


 


ASSIGNMENT


 


(To be executed by the registered Holder to effect
a transfer of the within Purchase Warrant):


 


FOR VALUE RECEIVED, __________________ does hereby
sell, assign and transfer unto the right to purchase shares of common stock, par value $0.001 per share, of Acurx Pharmaceuticals, Inc.,
a Delaware corporation (the “Company”), evidenced by the Purchase Warrant and does hereby authorize the Company to
transfer such right on the books of the Company.


 


Dated: __________, 20__


 


Signature


 





	Signature Guaranteed	 	 


 


 


NOTICE: The signature to this form must correspond with the name as
written upon the face of the within Purchase Warrant without alteration or enlargement or any change whatsoever, and must be guaranteed
by a bank, other than a savings bank, or by a trust company or by a firm having membership on a registered national securities exchange.