Exhibit 10.4


 


Execution Version


 


PRIVATE PLACEMENT
SHARES PURCHASE AGREEMENT


 


THIS
PRIVATE PLACEMENT SHARES PURCHASE AGREEMENT, dated as of May 12, 2022 (as it may from time to time be amended, this “Agreement”),
is entered into by and between Prime Number Acquisition I Corp., a Delaware corporation (the “Company”), and
Prime Number Acquisition LLC, a Delaware limited liability company ( “Sponsor A”), Glorious Capital LLC (“Sponsor
B,” collectively with Sponsor A, the “Sponsors”).


 


WHEREAS, the Company
intends to consummate a public offering of the Company’s units (the “Public Offering”), each unit consisting of one
share of the Company’s Class A common stock, par value $0.0001 per share (the “Class A Common Stock”), and one-half
of one redeemable warrant, each warrant exercisable for one Share at an exercise price of $11.50 per Share, and one right, each Right
entitling the holder thereof to receive one-eighth of one share of Class A Common Stock upon the consummation of an initial business
combination, as set forth in the Company’s registration statement on Form S-1 related to the Public Offering (the “Registration
Statement”); and


 


WHEREAS,
Sponsor A agreed to purchase from the Company an aggregate of 331,032 shares of Class A Common Stock, and Sponsor B agreed to purchase
from the Company an aggregate of 49,860 shares of Class A Common Stock, accounting for a total of 380,892 shares of Class A Common Stock
(collectively, the “Firm Private Shares”); and


 


WHEREAS,
Sponsor A agreed to purchase from the Company additional up to 36,000 shares of Class A Common Stock (the “Additional Private
Shares”), if the over-allotment option in connection with the Public Offering is exercised in full (the Additional Private
Shares and, together with the Firm Private Shares, the “Private Shares”).


 


NOW
THEREFORE, in consideration of the mutual promises contained in this Agreement and other good and valuable consideration, the receipt
and sufficiency of which are hereby acknowledged, the parties to this Agreement hereby, intending legally to be bound, agree as follows:


 


Section 1. Authorization, Purchase and
Sale; Terms of the Private Shares.


 


A.
Authorization of the Private Shares. The Company has duly authorized the issuance and sale of the Private Shares to the Sponsors.


 


B. Purchase and
Sale of the Private Shares.


 


(i)
As payment in full for the 380,892 Firm Private Shares being purchased under this Agreement, Sponsor A shall pay $3,310,320 for the 331,032
shares of Class A Common Stock , and Sponsor B shall pay $498,600 for the 49,860 shares of Class A Common Stock, accounting for a total
of $3,808,920 (the “Purchase Price”), by wire transfer of immediately available funds or by such other method
as may be reasonably acceptable to the Company, to the trust account (the “Trust Account”) at a financial institution
to be chosen by the Company, maintained by Wilmington Trust, National Association, acting as trustee, at least one (1) business day prior
to the date of effectiveness of the Registration Statement.


 


(ii)
In the event that the over-allotment option is exercised in full or in part, Sponsor A shall purchase up to an additional 36,000 Additional
Private Shares, in the same proportion as the amount of the over-allotment option that is exercised, and simultaneously with such purchase
of Additional Private Shares, as payment in full for the Additional Private Shares being purchased hereunder, and at least one (1) business
day prior to the closing of all or any portion of the over-allotment option, Sponsor A shall pay $10.00 per share, up to an aggregate
amount of $360,000, by wire transfer of immediately available funds or by such other method as may be reasonably acceptable to the Company,
to the Trust Account.


 






    


     


    

 


(iii)
The closing of the purchase and sale of the Firm Private Shares shall take place simultaneously with the closing of the Public Offering
(the “Initial Closing Date”). The closing of the purchase and sale of the Additional Private Shares, if applicable,
shall take place simultaneously with the closing of all or any portion of the over-allotment option exercise (such closing date, together
with the Initial Closing Date, the “Closing Dates” and each, a “Closing Date”). The
closing of the purchase and sale of each of the Firm Private Shares and the Additional Private Shares shall take place at the offices
of Robinson & Cole LLP, 666 Third Avenue, 20th Floor, New York, New York 10017, or such other place as may be agreed upon
by the parties hereto.


 


C. Terms of the
Private Shares.


 


(i)
The Private Shares are identical to the Class A Common Stock that are part of the units to be offered in the Public Offering except that:
(a) the Private Shares will not, except in limited circumstances, be transferable or salable until 30 days after the completion of the
Company’s initial business combination (the “Business Combination”) so long as they are held by the Sponsors
or their permitted transferees; and (b) the Private Shares are being purchased pursuant to an exemption from the registration requirements
of the Securities Act and will become freely tradable only after the expiration of the lockup described above in clause (a) and they
are registered pursuant to the Registration Rights Agreement (as defined below) or an exemption from registration is available, and the
restrictions described above in clause (a) have expired.


 


(ii)
At or prior to the time of the Initial Closing Date, the Company and the Sponsors shall enter into a registration rights agreement (the
 “Registration Rights Agreement”) pursuant to which the Company will grant certain registration rights to the
Sponsors relating to the Private Securities.


 


Section 2. Representations
and Warranties of the Company. As a material inducement to the Sponsors to enter into this Agreement and purchase the Private Shares,
the Company hereby represents and warrants to the Sponsors (which representations and warranties shall survive the Closing Dates) that:


 


A.
Organization and Corporate Power. The Company is a corporation duly organized, validly existing and in good standing under the laws of
the State of Delaware and is qualified to do business in every jurisdiction in which the failure to so qualify would reasonably be expected
to have a material adverse effect on the financial condition, operating results or assets of the Company. The Company possesses all requisite
corporate power and authority necessary to carry out the transactions contemplated by this Agreement and the Registration Rights Agreement.


 


B. Authorization;
No Breach.


 


(i)
The execution, delivery and performance of this Agreement, the Registration Rights Agreement and the Private Shares have been duly authorized
by the Company as of the Closing Dates. Each of this Agreement and the Registration Rights Agreement constitutes a valid and binding
obligation of the Company, enforceable in accordance with its terms. Upon issuance in accordance with, and payment pursuant to, the terms
of this Agreement, this Agreement will constitute valid and binding obligations of the Company, enforceable in accordance with their
terms as of the Closing Dates, as the case may be.


 








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(ii)
The execution and delivery by the Company of this Agreement and the Registration Rights Agreement and the issuance and sale of the Private
Shares and the fulfillment of, and compliance with, the respective terms hereof and thereof by the Company, do not and will not as of
the Closing Dates (a) conflict with or result in a breach of the terms, conditions or provisions of, (b) constitute a default under,
(c) result in the creation of any lien, security interest, charge or encumbrance upon the Company’s capital stock or assets under,
(d) result in a violation of, or (e) require any authorization, consent, approval, exemption or other action by or notice or declaration
to, or filing with, any court or administrative or governmental body or agency pursuant to the certificate of incorporation or the bylaws
of the Company (in effect on the date hereof or as may be amended prior to completion of the contemplated Public Offering), or any material
law, statute, rule or regulation to which the Company is subject, or any agreement, order, judgment or decree to which the Company is
subject, except for any filings required after the date hereof under federal or state securities laws.


 


C.
Title to Securities. Upon issuance in accordance with, and payment pursuant to, the terms hereof, each of the Private Shares will be
duly and validly issued, fully paid and nonassessable. Upon issuance in accordance with, and payment pursuant to, the terms hereof, the
Sponsors will have good title to the Private Shares, free and clear of all liens, claims and encumbrances of any kind, other than (i)
transfer restrictions hereunder and under the other agreements contemplated hereby, (ii) transfer restrictions under federal and state
securities laws, and (iii) liens, claims or encumbrances imposed due to the actions of the Sponsors.


 


D.
Governmental Consents. No permit, consent, approval or authorization of, or declaration to or filing with, any governmental authority
is required in connection with the execution, delivery and performance by the Company of this Agreement or the consummation by the Company
of any other transactions contemplated hereby.


 


Section 3. Representations
and Warranties of the Sponsors. As a material inducement to the Company to enter into this Agreement and issue and sell the Private Shares
to the Sponsors, the Sponsors hereby represent and warrant to the Company (which representations and warranties shall survive the Closing
Dates) that:


 


A.
Organization and Requisite Authority. The Sponsors possess all requisite power and authority necessary to carry out the transactions
contemplated by this Agreement.


 


B. Authorization;
No Breach.


 


(i)
This Agreement constitutes a valid and binding obligation of the Sponsors, enforceable in accordance with its terms, subject to bankruptcy,
insolvency, fraudulent conveyance, reorganization, moratorium and other laws of general applicability relating to or affecting creditors’
rights and to general equitable principles (whether considered in a proceeding in equity or law).


 


(ii)
The execution and delivery by the Sponsors of this Agreement and the fulfillment of and compliance with the terms hereof by the Sponsors
do not and shall not as of the Closing Dates conflict with or result in a breach by the Sponsors of the terms, conditions or provisions
of any agreement, instrument, order, judgment or decree to which the Sponsors are subject.


 






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C. Investment Representations.


 


(i)
The Sponsors are acquiring the Private Shares, for such Sponsors’ own account, for investment purposes only and not with a view
towards, or for resale in connection with, any public sale or distribution thereof.


 


(ii)
The Sponsors acknowledge the sale contemplated hereby is being made in reliance on a private placement exemption pursuant to Section
4(a)(2) of the Securities Act of 1933, as amended (the “Securities Act”).


 


(iii)
The Sponsors understand that the Private Shares are being offered and will be sold to are in reliance on specific exemptions from the
registration requirements of the United States federal and state securities laws and that the Company is relying upon the truth and accuracy
of, and the Sponsors’ compliance with, the representations and warranties of the Sponsors set forth herein in order to determine
the availability of such exemptions and the eligibility of the Sponsors to acquire such Private Shares.


 


(iv)
The Sponsors did not enter into this Agreement as a result of any general solicitation or general advertising within the meaning of Rule
502(c) under the Securities Act.


 


(v)
The Sponsors have been furnished with all materials relating to the business, finances and operations of the Company and materials relating
to the offer and sale of the Securities which have been requested by the Sponsors. The Sponsors have been afforded the opportunity to
ask questions of the executive officers and directors of the Company. The Sponsors understand that its investment in the Private Shares
involves a high degree of risk and they have sought such accounting, legal and tax advice as they have considered necessary to make an
informed investment decision with respect to the acquisition of the Private Shares.


 


(vi)
The Sponsors understand that no United States federal or state agency or any other government or governmental agency has passed on or
made any recommendation or endorsement of the Private Shares or the fairness or suitability of the investment in the Private Shares by
the Sponsors nor have such authorities passed upon or endorsed the merits of the offering of the Private Shares.


 


(vii)
The Sponsors understand that: (a) the Private Shares have not been and are not being registered under the Securities Act or any state
securities laws, and may not be offered for sale, sold, assigned or transferred unless (1) subsequently registered thereunder or (2)
sold in reliance on an exemption therefrom; and (b) except as specifically set forth in the Registration Rights Agreement, neither the
Company nor any other person is under any obligation to register the Private Shares under the Securities Act or any state securities
laws or to comply with the terms and conditions of any exemption thereunder. In this regard, the Sponsors understand that the Securities
and Exchange Commission has taken the position that promoters or affiliates of a blank check company and their transferees, both before
and after an initial business combination, are deemed to be “underwriters” under the Securities Act when reselling the securities
of a blank check company. Based on that position, Rule 144 adopted pursuant to the Securities Act would not be available for resale transactions
of the Private Shares despite technical compliance with the certain requirements of such Rule, and the Private Shares can be resold only
through a registered offering or in reliance upon another exemption from the registration requirements of the Securities Act.


 






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(viii)
The Sponsors have such knowledge and experience in financial and business matters, knowledge of the high degree of risk associated with
investments in the securities of companies in the development stage such as the Company, are capable of evaluating the merits and risks
of an investment in the Private Shares and are able to bear the economic risk of an investment in the Private Shares in the amount contemplated
hereunder for an indefinite period of time. The Sponsors have adequate means of providing for its current financial needs and contingencies
and will have no current or anticipated future needs for liquidity which would be jeopardized by the investment in the Private Shares.
The Sponsors can afford a complete loss of their investments in the Private Shares.


 


(ix)
The Sponsors understand that the Private Shares shall bear the following legend and appropriate “stop transfer restrictions”:


 


“THE
SECURITIES REPRESENTED HEREBY HAVE NOT BEEN REGISTERED UNDER THE UNITED STATES SECURITIES ACT OF 1933, AS AMENDED, OR ANY STATE SECURITIES
LAWS AND NEITHER THE SECURITIES NOR ANY INTEREST THEREIN MAY BE OFFERED, SOLD, TRANSFERRED, PLEDGED OR OTHERWISE DISPOSED OF EXCEPT PURSUANT
TO AN EFFECTIVE REGISTRATION STATEMENT UNDER SUCH ACT OR SUCH LAWS OR AN EXEMPTION FROM REGISTRATION UNDER SUCH ACT AND SUCH LAWS WHICH,
IN THE OPINION OF COUNSEL, IS AVAILABLE THE SECURITIES REPRESENTED BY THIS CERTIFICATE ARE SUBJECT TO LOCKUP PROVISIONS AND MAY NOT BE
OFFERED, SOLD, TRANSFERRED, PLEDGED OR OTHERWISE DISPOSED OF DURING THE TERM OF THE LOCKUP.”


 


Section 4. Conditions
of the Sponsors’ Obligations. The obligations of the Sponsors to purchase and pay for the Private Shares are subject to the fulfillment,
on or before the Closing Dates, of each of the following conditions:


 


A.
Representations and Warranties. The representations and warranties of the Company contained in Section 2 shall be true and correct at
and as of the Closing Dates as though then made.


 


B.
Performance. The Company shall have performed and complied with all agreements, obligations and conditions contained in this Agreement
that are required to be performed or complied with by it on or before the Closing Dates.


 


C.
No Injunction. No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted, entered,
promulgated or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization having
authority over the matters contemplated hereby, which prohibits the consummation of any of the transactions contemplated by this Agreement.


 


Section 5. Conditions
of the Company’s Obligations. The obligations of the Company to the Sponsors under this Agreement are subject to the fulfillment,
on or before the Closing Dates, of each of the following conditions:


 


A.
Representations and Warranties. The representations and warranties of the Sponsors contained in Section 3 shall be true and correct at
and as of the Closing Dates as though then made.


 






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B.
Performance. The Sponsors shall have performed and complied with all agreements, obligations and conditions contained in this Agreement
that are required to be performed or complied with by the Sponsors on or before the Closing Dates.


 


C.
No Injunction. No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted, entered,
promulgated or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization having
authority over the matters contemplated hereby, which prohibits the consummation of any of the transactions contemplated by this Agreement.


 


D.
Registration Rights Agreement. The Company shall have entered into the Registration Rights Agreement on terms set forth in the Registration
Statement.


 


Section 6. Termination.
This Agreement may be terminated at any time after ____, 2022 upon the election by either the Company or the Sponsors upon written notice
to the other parties if the closing of the Public Offering does not occur prior to such date.


 


Section 7. Survival
of Representations and Warranties. All of the representations and warranties contained herein shall survive the Closing Dates.


 


Section 8. Definitions.
Terms used but not otherwise defined in this Agreement shall have the meaning assigned to such terms in the Registration Statement.


 


Section 9. Miscellaneous.


 


A.
Successors and Assigns. Except as otherwise expressly provided herein, all covenants and agreements contained in this Agreement by or
on behalf of any of the parties hereto shall bind and inure to the benefit of the respective successors of the parties hereto whether
so expressed or not. Notwithstanding the foregoing or anything to the contrary herein, the parties may not assign this Agreement, other
than assignments by the Sponsors to affiliates thereof.


 


B.
Severability. Whenever possible, each provision of this Agreement shall be interpreted in such manner as to be effective and valid under
applicable law, but if any provision of this Agreement is held to be prohibited by or invalid under applicable law, such provision shall
be ineffective only to the extent of such prohibition or invalidity, without invalidating the remainder of this Agreement.


 


C.
Counterparts. This Agreement may be executed simultaneously in two or more counterparts, none of which need to contain the signatures
of more than one party, but all such counterparts taken together shall constitute one and the same agreement.


 


D.
Descriptive Headings; Interpretation. The descriptive headings of this Agreement are inserted for convenience only and do not constitute
a substantive part of this Agreement. The use of the word “including” in this Agreement shall be by way of example rather
than by limitation.


 


E.
Governing Law. This Agreement shall be deemed to be a contract made under the laws of the State of Delaware and for all purposes shall
be construed in accordance with the internal laws of the State of Delaware.


 






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F.
Amendments. This letter agreement may not be amended, modified or waived as to any particular provision, except by a written instrument
executed by all parties hereto.


 


[Signature Page
Follows]


 






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IN WITNESS WHEREOF,
the parties hereto have executed this Agreement to be effective as of the date first set forth above.


 


	 	COMPANY:  
	 	 
	 	PRIME NUMBER ACQUISITION I CORP.
         
	 	 
	 	By:	/s/
    Dongfeng Wang
	 	Name:	Dongfeng Wang
	 	Title:	CEO





 


	Sponsors:	 
	 	 
	PRIME NUMBER ACQUISITION LLC	 
	 	 
	By:	/s/
    Dongfeng Wang 	 
	Name:	Dongfeng Wang	 
	Title:	Manager	 




 


	GLORIOUS CAPITAL LLC    
     	 
	 	 
	By:	/s/
    Benedicto S. Perez	 
	Name:	Benedicto S. Perez	 
	Title:	Manager	 




 


[Signature Page
to the Private Share Purchase Agreement-Prime Number Acquisition I Corp.]