Sylvester's, Wolstenholme's, Morley's and Lehmer's Congruence Theorems Revisited
Christian Aebi, Grant Cairns
TL;DR
This paper provides elementary proofs of several classical number theory congruence theorems, including Sylvester's, Wolstenholme's, Morley's, and Lehmer's, enhancing understanding and accessibility.
Contribution
It offers new elementary proofs of four important congruence theorems, making them more accessible and easier to understand.
Findings
Elementary proofs of Sylvester's congruence
Elementary proofs of Wolstenholme's congruence
Elementary proofs of Morley's and Lehmer's congruences
Abstract
Elementary proofs of Sylvester's, Wolstenholme's, Morley's and Lehmer's congruence theorems
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Taxonomy
TopicsMathematics and Applications · Advanced Algebra and Logic · History and Theory of Mathematics