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im searching for good reference to understand the primality testing idea especially the Elliptic curves and primality for stirling numbers first and second ones , so can any one suggest to me good reference ? as i read about it from the suggestion below this test need shoof's algorithm and other two tests , can we find a short cut for this test ?

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3 Answers 3

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C. Pomerance, R. Crandall. Prime Numbers: A Computational Perspective

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D. Bressoud, Factorization and Primality testing.

Easy to read, but does not contain the algorithm to count the points on an elliptic curve.

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A Course in Computational Algebraic Number Theory by Henri Cohen. very clear and rigourous. But not sure it contains primality testing for Stirling number.

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