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Agrawal's conjecture : ウィキペディア英語版
Agrawal's conjecture
In number theory, Agrawal's conjecture, due to Manindra Agrawal in 2002, forms the basis for the cyclotomic AKS test. Agrawal's conjecture states formally:
Let n and r be two coprime positive integers. If
:(X-1)^n \equiv X^n - 1 \pmod \,
then either n is prime or n^2 \equiv 1 \pmod r
==Ramifications==
If Agrawal's conjecture were true, it would decrease the runtime complexity of the AKS primality test from \tilde O(\log^6 n) to \tilde O(\log^3 n)).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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