Filed Pursuant to Rule 424(b)(5)
Registration No. 333-274554
Prospectus Supplement No. 4, Dated October 9, 2026
(to Prospectus dated September 28, 2023)

HEARTSCIENCES INC.
Up to $4,161,139
Common Stock
This Prospectus Supplement
No. 4 (this “prospectus supplement”) amends and supplements HeartSciences Inc.’s (the “Company,” “HeartSciences,”
“we,” “us” or “our”) at-the-market offering prospectus dated September 28, 2023, as amended and
supplemented by the prospectus supplement dated November 9, 2023, November 17, 2023 and August 3, 2025 (collectively, the “at-the-market
offering prospectus”). This prospectus supplement should be read in conjunction with the at-the-market offering prospectus, which
is to be delivered with this prospectus supplement. This prospectus supplement amends and supplements only those sections of the at-the-market
offering prospectus listed in this prospectus supplement; all other sections of the at-the-market offering prospectus remain as is.
We previously entered into
an Equity Distribution Agreement, dated September 18, 2023 (the “Original EDA”), with Maxim Group LLC (“Maxim”,
or the “Sales Agent”), pursuant to which we may offer and sell, from time to time, an aggregate of up to $3,250,000 of shares
of our common stock, $0.001 par value per share (“common stock”), in an “at the market” offering (as defined in
Rule 415(a)(4) under the Securities Act of 1933, as amended (the “Securities Act”)). On November 9, 2023, we entered
into Amendment No. 1 to the Original EDA with Maxim pursuant to which, among other things, we may issue and sell up to $10,000,000 of
shares of common stock from time to time through the Sales Agent subject to certain selling limitations (the “First Amendment”).
On November 17, 2023, we entered into Amendment No. 2 to the Original EDA (the “Second Amendment”) with Maxim pursuant to
which, among other things, we may issue and sell up to $15,000,000 of shares of common stock (“Shares”) from time to time
through the Sales Agent; provided, however, that in no event will we issue or sell through the Sales Agent such number of shares of common
stock that would cause us or the offering of our shares of common stock to not satisfy the eligibility and transaction requirements for
use of Form S-3 (including General Instruction I.B.6 of Form S-3). On August 3, 2025, we entered into Amendment No. 3 to
the Original EDA (the “Third Amendment”, and together with the Original EDA, the First Amendment and the Second Amendment,
the “EDA”) with Maxim pursuant to which the Company may offer and sell, from time to time, up to $25,000,000 of shares of
Common Stock. Pursuant to the terms of the Third Amendment, Maxim will be entitled to compensation at a commission rate equal to 3.0%
of the gross sales price per share sold pursuant to this prospectus supplement and the EDA from any gross proceeds to our Company in excess
of such amount. As of October 6, 2026, we have sold 1,529,287 shares of common stock with an aggregate offering price of approximately
$14.1 million under the EDA.
We are filing this prospectus
supplement to amend the at-the-market offering prospectus to increase the maximum amount of shares of our common stock that we are eligible
to sell under the EDA pursuant to at-the-market offering prospectus under General Instruction I.B.6. of Form S-3 As a result of these
limitations, we may currently only offer and sell shares of our common stock having an aggregate offering price of up to $4,161,139. Pursuant
to this prospectus supplement, we are registering the offer and sale of $4,161,139 shares of common stock, or up to $18,898,747 in the
aggregate (after giving effect to the approximately $14.1 million that have already been sold under the EDA) pursuant to the at-the-market
offering prospectus. However, in the event that our public float increases or decreases, we may sell securities in public primary offerings
on Form S-3 with a value up to one-third of our public float, in each case calculated pursuant to General Instruction I.B.6 of Form S-3
and subject to the terms of the EDA. In the event that our public float increases above $75.0 million, we will no longer be subject to
the limitations of General Instruction I.B.6 of Form S-3.
The offering pursuant to this
prospectus supplement will terminate upon the sale of all Shares subject to this prospectus supplement. We may file one or more additional
prospectus supplements to offer and sell the remaining Shares subject to the EDA. Once all Shares covered by the EDA are issued and sold,
the EDA will terminate. The EDA may be terminated by us or by the Sales Agent at any time.
Our common stock and our IPO
Warrants are listed on the Nasdaq Capital Market under the symbols “HSCS” and “HSCSW,” respectively. On October
6, 2026, the last reported sale price of our common stock on Nasdaq Capital Market was $3.77 per share and the price of our warrants was
$0.06. Sales of our common stock, if any, under this prospectus supplement, will be made by any method permitted that is deemed an
“at the market offering” as defined in Rule 415 under the Securities Act of 1933, as amended (the “Securities
Act”). Maxim is not required to sell any specific amount, but will act as our sales agent using commercially reasonable efforts
consistent with its normal trading and sales practices. There is no arrangement for funds to be received in any escrow, trust or similar
arrangement.
As of October 6, 2026, the
aggregate market value of our outstanding common stock held by non-affiliates was $23,159,765, which was calculated based on
4,453,801 outstanding shares of our common stock held by non-affiliates on October 6, 2026 and a price per share of $5.20, which
was the closing price of our common stock on September 18, 2026 and is the highest closing sale price of our common stock on the Nasdaq
Capital Market within the prior 60 days. Pursuant to General Instruction I.B.6 of Form S-3, in no event will we sell
the shelf securities in a public primary offering with a value exceeding more than one-third of the aggregate market value of
our voting and non-voting ordinary shares held by non-affiliates in any 12-month period as long as the aggregate
market value of our outstanding ordinary shares held by non-affiliates is less than $75 million. During the 12 calendar months
prior to and including the date of this prospectus supplement, we have sold approximately $3.6 million worth of our securities pursuant
to General Instruction I.B.6 of Form S-3.
As previously reported, on
June 23, 2026, we entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”) among us, Fortitude Mining
Holdings, Inc., a Delaware corporation (“Fortitude Seller”), Fortitude Mining HoldCo, LLC, a Delaware limited liability company
and a direct wholly-owned subsidiary of Fortitude (“Fortitude HoldCo” and together with Fortitude Seller, “Fortitude”),
and Cordis Acquisition, LLC, a Delaware limited liability company and a direct, wholly-owned subsidiary of ours. The transactions contemplated
by the Merger Agreement are referred to herein as the “Proposed Transaction” and are expected to close (the “Closing”)
in the fourth quarter of 2026, subject to customary closing conditions, including approval by the shareholders of HeartSciences. More
information about HeartSciences, Fortitude and the Proposed Transaction is contained in the Preliminary Proxy Statement (as defined below).
In connection with the Proposed
Transaction, HeartSciences filed an amended preliminary proxy statement on Schedule 14A with the U.S. Securities and Exchange Commission
(the “SEC”) on October 6, 2026 (the “Preliminary Proxy Statement”) and may file additional relevant materials
with the SEC from time to time. Following the filing of a definitive proxy statement with the SEC, HeartSciences will mail the definitive
proxy statement and a proxy card to each shareholder entitled to vote at the special meeting relating to the Proposed Transaction. INVESTORS
AND SHAREHOLDERS OF HEARTSCIENCES ARE URGED TO READ THESE MATERIALS (INCLUDING ANY AMENDMENTS OR SUPPLEMENTS THERETO) AND ANY OTHER RELEVANT
DOCUMENTS IN CONNECTION WITH THE PROPOSED TRANSACTION THAT HEARTSCIENCES HAS FILED OR MAY FILE WITH THE SEC WHEN THEY BECOME AVAILABLE
BECAUSE THEY CONTAIN IMPORTANT INFORMATION ABOUT HEARTSCIENCES AND THE PROPOSED TRANSACTION. IN PARTICULAR, YOU SHOULD CAREFULLY CONSIDER
THE MATTERS DISCUSSED UNDER THE SECTION CAPTIONED “RISK FACTORS” IN THE PRELIMINARY PROXY STATEMENT. COMMUNICATIONS THAT DO
NOT CONTAIN ALL THE INFORMATION THAT SHOULD BE CONSIDERED CONCERNING THE PROPOSED TRANSACTION AND RELATED MATTERS ARE NOT INTENDED TO
PROVIDE THE BASIS FOR ANY INVESTMENT DECISION OR ANY OTHER DECISION IN RESPECT OF SUCH MATTERS. The Preliminary Proxy Statement, the definitive
proxy statement and other relevant materials in connection with the Proposed Transaction (when they become available), and any other documents
filed by HeartSciences with the SEC, may be obtained free of charge at the SEC’s website at www.sec.gov. In addition, investors
and shareholders may obtain free copies of the documents filed with the SEC or by sending a request to the HeartSciences Investor Relations
Department at investorrelations@heartsciences.com.
NEITHER THE SEC NOR ANY STATE
SECURITIES REGULATORY AGENCY HAS APPROVED OR DISAPPROVED THE PROPOSED TRANSACTION, PASSED UPON THE MERITS OR FAIRNESS OF THE PROPOSED
TRANSACTION OR ANY RELATED TRANSACTIONS OR PASSED UPON THE ADEQUACY OR ACCURACY OF THE DISCLOSURE IN THIS PROSPECTUS SUPPLEMENT. ANY REPRESENTATION
TO THE CONTRARY CONSTITUTES A CRIMINAL OFFENSE.
Investing in our common
stock involves a high degree of risk. Please read the information contained in and incorporated by reference under the heading “Risk
Factors” beginning on page S-15 of our Prospectus dated September 28, 2023, P-17 of the at-the-market offering prospectus,
the section captioned “Item 1A — Risk Factors” in our most recently filed Annual Report on Form 10-K and
in our most recently filed Quarterly Report on Form 10-Q, which we have incorporated by reference into this prospectus supplement,
the at-the-market offering prospectus and under similar headings in the other documents that are filed after the date hereof and incorporated
by reference into this prospectus supplement.
Neither the U.S. Securities
and Exchange Commission nor any state securities commission has approved or disapproved of these securities or determined if this prospectus
supplement or the at-the-market offering prospectus is truthful or complete. Any representation to the contrary is a criminal offense.
Maxim Group LLC
The date of this Prospectus Supplement is October
9, 2026.