**Exhibit 31.1**

 

CERTIFICATION OFPRINCIPAL EXECUTIVE OFFICER

 

I, George E. Crapple,Co-Chief Executive Officer of Millburn Ridgefield Corporation, the GeneralPartner of Nestor Partners (the “Partnership”), do hereby certify that:

 

1.  I have reviewed this annual report on Form10-K of the Partnership;

 

2.  Based on my knowledge, this annual reportdoes not contain any untrue statement of a material fact or omit to state amaterial fact necessary to make the statements made, in light of thecircumstances under which such statements were made, not misleading withrespect to the period covered by this annual report;

 

3.  Based on my knowledge, the financialstatements, and other financial information included in this annual report,fairly present in all material respects the financial condition, results ofoperations and cash flows of the Partnership as of, and for, the periodspresented in this annual report;

 

4. The Partnership’sother certifying officers and I are responsible forestablishing and maintaining disclosure controls and procedures (as defined inExchange Act Rules 13a-14 and 15d-14) for the Partnership and have:

 

(a)  designed such disclosure controls andprocedures to ensure that material information relating to the Partnership,including its consolidated subsidiaries, is made known to us by others withinthose entities, particularly during the period in which this annual report isbeing prepared;

 

(b) evaluated theeffectiveness of the Partnership’s disclosure controls and procedures as of adate within 90 days prior to the filing date of this annual report (the “EvaluationDate”); and

 

(c) presentedin this annual report our conclusions about the effectiveness of the disclosurecontrols and procedures based on our evaluation as of the Evaluation Date;

 

5.  The Partnership’s other certifying officersand I have disclosed, based on our most recent evaluation, to the Partnership’sauditors and the audit committee of the Partnership’s board of directors (orpersons performing the equivalent functions):

 

(a) all significantdeficiencies in the design or operation of internal controls which couldadversely affect the Partnership’s ability to record, process, summarize andreport financial data and have identified for the Partnership’s auditors anymaterial weaknesses in internal controls; and

 

(b) anyfraud, whether or not material, that involves management or other employees whohave a significant role in the Partnership’s internal controls; and

 

6.  The Partnership’s other certifying officersand I have indicated in this annual report whether or not there weresignificant changes in internal controls or in other factors that couldsignificantly affect internal controls subsequent to the date of our mostrecent evaluation, including any corrective actions with regard to significantdeficiencies and material weaknesses.

 

 
| By:                         | /s/  George E. Crapple |   |
|-----------------------------|------------------------|--------|
|                        |                   |   |
|                        |                   |   |
| George E. Crapple           |
| Co-Chief Executive  Officer |
| March 30, 2005              |

 

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