Though happy numbers are infinite, observing the proportion of happy numbers is interesting. Special happy numbers such as happy Pythagorean triplets, repdigit happy numbers, palindromic happy numbers, happy amicable pairs, happy triangular numbers, etc. are discussed in this chapter. In addition, the distribution of happy primes, consecutive happy numbers, heights of happy numbers, the distribution of gaps between happy numbers, and happy cubes are also dealt with in this chapter. Happy numbers in other bases along with fixed points and cycles are also covered.

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

Happy Numbers

  • Shyam Sunder Gupta

摘要

Though happy numbers are infinite, observing the proportion of happy numbers is interesting. Special happy numbers such as happy Pythagorean triplets, repdigit happy numbers, palindromic happy numbers, happy amicable pairs, happy triangular numbers, etc. are discussed in this chapter. In addition, the distribution of happy primes, consecutive happy numbers, heights of happy numbers, the distribution of gaps between happy numbers, and happy cubes are also dealt with in this chapter. Happy numbers in other bases along with fixed points and cycles are also covered.