Primality Testing

Prashant Pandey (97246) and Rajat Bhattacharjee (97264),   April, 2001

Supervisors: Dr. Manindra Agarwal

In this project, we devised a deterministic polynomial time algorithm for primality testing. Such an algorithm would have a lot of application in fields like cryptography apart from the theoretical importance of the algorithm. The correctness of the algorithm is yet to be proved. The algorithm is based on  a conjecture which has been verified extensively for large numbers. The report also mentions some small steps that we have taken towards proving the conjectire. We studied the structure of Z_n[x]/r(x). Here we were able to prove some interesting results.

Full Report (PS-gzipped: 120K)

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