Carmichael Numbers with a Specified Number of Prime Factors

2025/10/18 by Thomas Wright, Larsen, Daniel, Wright, Thomas
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2510.16632

openalex publication_date 2025/10/18 · openalex created_date 2025/10/22 · openalex updated_date 2026/07/28

Abstract

For every sufficiently large integer R, there exists a Carmichael number with exactly R prime factors.

Citations

• Carmichael Numbers in All Possible Arithmetic Progressions

Related

• Carmichael Numbers with Prime Numbers of Prime Factors
• Carmichael numbers and the sieve
• The Carmichael numbers up to 10¹⁸
• The Carmichael numbers up to 10¹⁷
• The Carmichael numbers up to 10¹⁶