Primaboinca/en

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This project concerns itself with two hypotheses in number theory. Both are conjectures for the identification of prime numbers. The first conjecture (Agrawal’s Conjecture) was the basis for the formulation of the first deterministic prime test algorithm in polynomial time (AKS algorithm). Hendrik Lenstras and Carl Pomerances heuristic for this conjecture suggests that there must be an infinite number of counterexamples. So far, however, no counterexamples are known. This hypothesis was tested for n 1010 without having found a counterexample. The second conjecture (Popovych’s conjecture) adds a further condition to Agrawals conjecture and therefore logically strengthens the conjecture. If this hypothesis would be correct, the time of a deterministic prime test could be reduced from O(log N)6 (currently most efficient version of the AKS algorithm) to O(log N)3.		primaboinca Screensaver Start 2010 End Status alpha Admin Institution Country Area Mathematics Apps Win primaboinca 7.05 Linux primaboinca 7.06 Mac primaboinca 7.05 64bit PS3 primaboinca 7.09 ATI CUDA Intel {{{Intel}}} Android [[Bild:{{{Android}}}.gif|link=]] RPi [[Bild:{{{RPI}}}.gif|link=]] NCI [[Bild:{{{NCI}}}.gif|link=]] System-Specs VRAM {{{VRAM}}} SP [[Bild:{{{SP}}}.gif|link=]] DP [[Bild:{{{DP}}}.gif|link=]] RAM 1,5MB Runtime 49min HDD Traffic dl/ul kb / kb Deadline 1 day Checkpoints

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