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Euler pseudoprimes for half of the bases

2011/09/16 by Lorenzo Di Biagio, Di Biagio, Lorenzo
Mathematics · #11A51 (Primary) #11Y11 (Secondary) #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #math.NT #msc:11A51 #msc:11Y11

paper · pdf · doi:10.48550/arxiv.1109.3596

4 pages. To appear in Integers

arxiv created 2011/09/16 · openalex publication_date 2011/09/16 · arxiv updated 2011/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that an odd number is an Euler pseudoprime for exactly one half of the admissible bases if and only if it is a special Carmichael number.

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