
TL;DR
This paper proves that for any positive integer n, there exists a permutation of the set {1,...,n} such that the sum of each element and its image under the permutation is prime.
Contribution
It introduces a novel permutation construction ensuring prime sums for all elements, expanding understanding of prime-related permutation problems.
Findings
Existence of such permutations for all n
Construction method for the permutations
Implications for prime sum problems
Abstract
We prove that it is always possible to find a permutation on the set such that is prime for all
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Taxonomy
TopicsAdvanced Mathematical Theories · Mathematics and Applications · Advanced Mathematical Identities
