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Exhibit 31.1 CERTIFICATION
OF
CHIEF EXECUTIVE OFFICER
PURSUANT TO SECTION 302 OF THE SARBANES-OXLEY ACT OF 2002 I, Jeffrey L. McWaters, Chairman and Chief Executive Officer of AMERIGROUP
Corporation, certify that:  1.
    
    I have reviewed this Quarterly Report on Form 10-Q for the three-month
period ended September 30, 2004 of AMERIGROUP Corporation;2.
    
    Based on my knowledge, this report does not contain any untrue statement of
a material fact or omit to state a material fact necessary to make the
statements made, in light of the circumstances under which such statements were
made, not misleading with respect to the period covered by this report;3.
    
    Based on my knowledge, the financial statements, and other financial
information included in this report, fairly present in all material respects
the financial condition, results of operations and cash flows of the registrant
as of, and for, the periods presented in this report;4.
    
    The registrants other certifying officer and I are responsible for
establishing and maintaining disclosure controls and procedures (as defined in
Exchange Act Rules 13a-15(e) and 15d-15(e)) for the registrant and have:  (a)
    
    Designed such disclosure controls and procedures, or caused
such disclosure controls and procedures to be designed under our
supervision, to ensure that material information relating to the
registrant, including its consolidated subsidiaries, is made known
to us by others within those entities, particularly during the
period in which this report is being prepared;(b)
    
    [Paragraph omitted in accordance with SEC Release Nos.
33-8238 and 34-47986.](c)
    
    Evaluated the effectiveness of the registrants disclosure
controls and procedures and presented in this report our conclusions
about the effectiveness of the disclosure controls and procedures,
as of the end of the period covered by this report based on such
evaluation; and(d)
    
    Disclosed in this report any change in the registrants
internal control over financial reporting that occurred during the
registrants most recent fiscal quarter (the registrants fourth
fiscal quarter in the case of an annual report) that




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has materially affected, or is reasonably likely to materially
affect, the registrants internal control over financial reporting;
and  5.
    
    The registrants other certifying officer and I have disclosed, based on our
most recent evaluation of internal control over financial reporting, to the
registrants auditors and the audit committee of the registrants board of
directors (or persons performing the equivalent functions):  (a)
    
    All significant deficiencies and material weaknesses in the
design or operation of internal control over financial reporting
which are reasonably likely to adversely affect the registrants
ability to record, process, summarize and report financial
information; and(b)
    
    Any fraud, whether or not material, that involves management
or other employees who have a significant role in the registrants
internal control over financial reporting. Date: November 5, 2004
    
    /s/ Jeffrey L. McWaters
Jeffrey L. McWaters
Chairman and Chief Executive Officer