**Exhibit31.1**

 

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 thisannual report on Form 10-K of the Partnership;

 

2. Based on my knowledge,this annual report does not contain any untrue statement of a material fact oromit to state a material fact necessary to make the statements made, in lightof the circumstances under which such statements were made, not misleading withrespect to the period covered by this annual report;

 

3. Based on my knowledge,the financial statements, and other financial information included in thisannual report, fairly present in all material respects the financial condition,results of operations and cash flows of the Partnership as of, and for, theperiods presented in this annual report;

 

4. The Partnership’sother certifying officers and I are responsible for establishing andmaintaining disclosure controls and procedures (as defined in Exchange ActRules 13a-15(e) and 15d-15(e)) for the Partnership and have:

 

(a) designed suchdisclosure controls and procedures, or caused such disclosure controls andprocedures to be designed under our supervision, to ensure that materialinformation relating to the Partnership, including its consolidatedsubsidiaries, is made known to us by others within those entities, particularlyduring the period in which this annual report is being prepared;

 

(b) evaluated theeffectiveness of the Partnership’s disclosure controls and procedures presentedin this annual report our conclusions about the effectiveness of the disclosurecontrols and procedures, as of the end of the period covered by this reportbased on such evaluation;

 

(c) disclosed in thisreport any change in the Partnership’s internal control over financialreporting that occurred during the Partnership’s most recent fiscal quarter(the Partnership’s fourth fiscal quarter in the case of this annual report)that has materially affected, or is reasonably likely to materially affect, thePartnership’s internal control over financial reporting.

 

5. The Partnership’sother certifying officers and I have disclosed, based on our most recentevaluation of internal control over financial reporting, to the Partnership’sauditors and the audit committee of the Partnership’s board of directors (orpersons performing the equivalent functions):

 

(a) all significantdeficiencies and material weaknesses in the design or operation of internalcontrols over financial reporting which are reasonably likely to adverselyaffect the Partnership’s ability to record, process, summarize and reportfinancial information; and

 

(b) any fraud, whether ornot material, that involves management or other employees who have asignificant role in the Partnership’s internal controls over financialreporting.

 

 
| By:                         | /s/ George E. Crapple |   |
|-----------------------------|-----------------------|--------|
|                        |
|                        |
|                        |                  |
| George E. Crapple           |
| Co-Chief Executive  Officer |
| March 30, 2006              |

 

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