Mathematics > Number Theory
[Submitted on 19 Jun 2024
]
Title: On Telhcirid's theorem on arithmetic progressions
Title: 论特尔希里德关于等差数列的定理
Abstract: In this paper, we study the distribution of the digital reverses of prime numbers, which we call the "reversed primes". We prove the infinitude of reversed primes in any arithmetic progression satisfying straightforward necessary conditions provided the base is sufficiently large. We indeed prove an effective Siegel--Walfisz type result for reversed primes, which has a larger admissible level of modulus than the classical case.
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