Aryabhata algorithm

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Aryabhata algorithm is an algorithm to solve indeterminate Diophantine equations and for residue arithmetic. It is first described in the mathematician-astronomer Aryabhata's book Aryabhatiya (499).

In recent years, it has been used for cryptographic applications.

[edit] External links

• Aryabhata remainder theorem
• Computational aspects of the Aryabhata algorithm
• Aryabhata's Kuttaka

v • d • e Number-theoretic algorithms Primality tests AKS · APR · Ballie-PSW · ECPP · Fermat · Lucas–Lehmer · Lucas–Lehmer (Mersenne numbers) · Lucas–Lehmer–Riesel · Proth's theorem · Pépin's · Solovay-Strassen · Miller-Rabin · Trial division Sieving algorithms Sieve of Atkin · Sieve of Eratosthenes · Sieve of Sundaram · Wheel factorization Integer factorization algorithms CFRAC · Dixon's · ECM · Euler's · Pollard's rho · P - 1 · P + 1 · QS · GNFS · SNFS · rational sieve · Fermat's · Shanks' square forms · Trial division · Shor's algorithm Other algorithms Ancient Egyptian multiplication · Aryabhata · Binary GCD · Chakravala · Euclidean · Extended Euclidean · integer relation algorithm · integer square root · Modular exponentiation · Shanks-Tonelli Italics indicate that algorithm is for numbers of special forms; bold indicates deterministic algorithm for primality tests.

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Categories: Number theory stubs | Number theoretic algorithms

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• This page was last modified 00:59, 23 September 2007 by Wikipedia user Ixfd64. Based on work by Wikipedia user(s) Geometry guy, MarSch, Jbergquist, Jagged 85, Rich Farmbrough, Oleg Alexandrov, Charles Matthews and MarcAurel and Anonymous user(s) of Wikipedia.
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