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Scholz’s Third Conjecture: A Demonstration for Star Addition Chains

Scholz’s Third Conjecture: A Demonstration for Star Addition Chains
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摘要 This paper presents a brief demonstration of Scholz’s third conjecture [1] for n numbers such that their minimum chain addition is star type [2]. The demonstration is based on the proposal of an algorithm that takes as input the star-adding chain of a number n, and returns a string in addition to x = 2n - 1??of length equal to l (n) + n - 1. As for any type addition chain star of a number n, this chain is minimal demonstrates the Scholz’s third Conjecture for such numbers. This paper presents a brief demonstration of Scholz’s third conjecture [1] for n numbers such that their minimum chain addition is star type [2]. The demonstration is based on the proposal of an algorithm that takes as input the star-adding chain of a number n, and returns a string in addition to x = 2n - 1??of length equal to l (n) + n - 1. As for any type addition chain star of a number n, this chain is minimal demonstrates the Scholz’s third Conjecture for such numbers.
出处 《Applied Mathematics》 2013年第10期1-2,共2页 应用数学(英文)
关键词 ADDITION CHAIN EXPONENTIATION Short CHAIN Scholz’s CONJECTURE Addition Chain Exponentiation Short Chain Scholz’s Conjecture
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