Excogitation & Innovation Laboratory
Sinha Conjecture Prize
Andrew Beal, a Dallas banker and a number theory enthusiast, had formulated a conjecture, known as Beal Conjecture, which generalised the Fermat's last theorem (FLT).
Here is the description of Beal Conjecture:
Beal Conjecture: Let X, Y, Z, a, b, and c be positive integers, with a, b, c > 2. The equation X a + Y b = Z c has a solution if:
- X, Y and Z have a common factor;
and the equation X a + Y b = Z c has no solution if:
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Apart from Andrew Beal's finding, there remained another possibility of FLT, which had been found by Neil Sinha, a non-mathematician and a physics enthusiast.
Here is the modified form of Sinha Conjecture:
Sinha Conjecture: Let X, Y, Z, a, b, and c be positive integers, with a, b, c > 2. The equation X a + Y b = Z c has a solution if:
- at least one of X or Y is coprime with Z, when X and Y have a common factor;
or,
- at least one of X or Y has a common factor with Z, when X and Y coprime.
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N.B.: We are very thankful to all those persons who have made their valuable comments and suggestions.
Sinha Conjecture Prize: Excogitation & Innovation Laboratory has announced an award of US $150,000 in June 9, 2009 (the prior award money, US $50,000, has been made triple in January 11, 2010), for the proof or disproof of the Sinha Conjecture.
Terms and Conditions: In awarding the prize no consideration whatever will be given to the nationality, genders, or races, of the candidates, but that the most worthy will receive the prize. Competence to submit proposals for the award of prize will be enjoyed by anyone. Any proof or disproof must be appeared in a reputable refereed journal. The Prize-awarding Committee will take a final decision after two years from the date of publication of a certain proposal. During this two-year period, a group of three to five eminent Number Theorists will review the proposal and give their opinion in the matter of the award of prize. The deliberations, opinions and proposals of the award of prize may not be made public, generally. If there is a conflict, the problem will be solved under the Indian Court of Justice. For multiple proposals, the prize will be awarded to the first proposal only. The Prize may be equally divided between two works each of which may be considered to merit a prize. Has a work, which is to be rewarded, been produced by two or more persons, the prize will be awarded to them jointly. The awarding money will be declared to the first author's name of each paper.
If you have questions, they can be mailed to:
Director
Excogitation & Innovation Laboratory
Atul Prasad Sarani, Hakimpara,
P.O. Rabindra Nagar, Siliguri,
W.B. 734 006, India
Or, they can be e-mailed to: admin @ eilab.org (please, delete the empty spaces before and after the @ sign)
     
Notice: No prior permission requires for academic uses and/or promotional or commercial reproductions of the above Conjecture.
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