Scholarlink

The numbers that can be expressed as the product of a number and its reversal in two different ways, like 144648 = 861 × 168 = 492 × 294, are termed EPRNs (equal product of reversible numbers). Based on new properties and observations, methods of computing EPRNs and the distribution of EPRNs are discussed. The new concept of porerop pairs described in the chapter appears to be a powerful tool to identify and compute all EPRNs. The digital root-wise distribution of EPRNs up to 1012 shown in this chapter suggests that the number of EPRNs with a digital root of 9 are more than that of EPRNs with a digital root of 1, 4, or 7, which can be investigated further. EPRNs of higher degrees up to 8-EPRNs are covered in this chapter, which will help in further investigating the problem to find faster ways to compute all k-EPRNs up to a given limit.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Equal Product of Reversible Numbers (EPRN)

  • 章节

  • 发表日期：

    2025年

查看全文
  • Shyam Sunder Gupta

摘要

The numbers that can be expressed as the product of a number and its reversal in two different ways, like 144648 = 861 × 168 = 492 × 294, are termed EPRNs (equal product of reversible numbers). Based on new properties and observations, methods of computing EPRNs and the distribution of EPRNs are discussed. The new concept of porerop pairs described in the chapter appears to be a powerful tool to identify and compute all EPRNs. The digital root-wise distribution of EPRNs up to 1012 shown in this chapter suggests that the number of EPRNs with a digital root of 9 are more than that of EPRNs with a digital root of 1, 4, or 7, which can be investigated further. EPRNs of higher degrees up to 8-EPRNs are covered in this chapter, which will help in further investigating the problem to find faster ways to compute all k-EPRNs up to a given limit.