-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 UrzAqKB/bqnhCZlldyPNjcN3GZa0jrW2BvPOIfbRyqPWYDG2ETIgzM3I40j6HEiM
 B0WkOj1GV3U+VEXaQ4qMIw==

<SEC-DOCUMENT>0001179110-04-010983.txt : 20040520
<SEC-HEADER>0001179110-04-010983.hdr.sgml : 20040520
<ACCEPTANCE-DATETIME>20040520101852
ACCESSION NUMBER:		0001179110-04-010983
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040519
FILED AS OF DATE:		20040520

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			COX PAUL JR
		CENTRAL INDEX KEY:			0001287598

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-05576
		FILM NUMBER:		04820266

	MAIL ADDRESS:	
		STREET 1:		591 OLD GREENWAY DR
		CITY:			GLEN ALLEN
		STATE:			VA
		ZIP:			23059

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			SPHERIX INC
		CENTRAL INDEX KEY:			0000012239
		STANDARD INDUSTRIAL CLASSIFICATION:	SERVICES-ENGINEERING, ACCOUNTING, RESEARCH, MANAGEMENT [8700]
		IRS NUMBER:				520849320
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		12051 INDIAN CREEK CT
		CITY:			BELTSVILLE
		STATE:			MD
		ZIP:			20705
		BUSINESS PHONE:		3014193900

	MAIL ADDRESS:	
		STREET 1:		12051 INDIAN CREEK COURT
		CITY:			BELTSVILLE
		STATE:			MD
		ZIP:			20705

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	BIOSPHERICS INC
		DATE OF NAME CHANGE:	19920703

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	BIOSPHERICS RESEARCH INC
		DATE OF NAME CHANGE:	19720404
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>edgar.xml
<DESCRIPTION>FORM 4 -
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-05-19</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000012239</issuerCik>
        <issuerName>SPHERIX INC</issuerName>
        <issuerTradingSymbol>SPEX</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001287598</rptOwnerCik>
            <rptOwnerName>COX PAUL JR</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>SPHERIX INCORPORATED</rptOwnerStreet1>
            <rptOwnerStreet2>12051 INDIAN CREEK COURT</rptOwnerStreet2>
            <rptOwnerCity>BELTSVILLE</rptOwnerCity>
            <rptOwnerState>MD</rptOwnerState>
            <rptOwnerZipCode>20705</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2004-05-19</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>400</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>4.92</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>400</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes></footnotes>

    <ownerSignature>
        <signatureName>A. Paul Cox, Jr.</signatureName>
        <signatureDate>2004-05-20</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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