 List of recreational number theory topics

This is a list of recreational number theory topics (see number theory, recreational mathematics). Listing here is not pejorative: many famous topics in number theory have origins in challenging problems posed purely for their own sake.
See list of number theory topics for pages dealing with aspects of number theory with more consolidated theories.
Contents
Number sequences
 Integer sequence
 Fibonacci sequence
 Golden mean base
 Fibonacci coding
 Lucas sequence
 Padovan sequence
 Figurate numbers
 Polygonal number
 Pentagonal number
 Hexagonal number
 Heptagonal number
 Octagonal number
 Nonagonal number
 Decagonal number
 Centered square number
 Centered pentagonal number
 Centered hexagonal number
 Tetrahedral number
 Pyramidal number
 Triangular pyramidal number
 Square pyramidal number
 Pentagonal pyramidal number
 Heptagonal pyramidal number
 Octahedral number
 Star number
 Perfect number
 Amicable number
 Sociable number
 Abundant number
 Deficient number
 Amenable number
 Aliquot sequence
 SuperPoulet number
 Lucky number
 Happy number
 Powerful number
 Primeval number
 Palindromic number
 Automorphic number
 Triangular square number
 Smith numbers
 Polydivisible number
 Harmonic divisor number
 Sphenic number
 Keith number
 Kaprekar number
 Smith number
 Harshad number
 Double Mersenne number
 Zeisel number
 Heteromecic number
 Niven numbers
 Superparticular number
 Untouchable number
 Self number
 Highly totient number
 Practical number
 Armstrong number
 Juggler sequence
Digits
 Digit sum
 Persistence of a number
 Emirp
 Palindromic prime
 Home prime
 Normal number
 Stoneham number
 Champernowne constant
 Absolutely normal number
 Repunit
 Repdigit
 Semiprime
 Almost prime
 Unique prime
 Factorial prime
 Permutable prime
 Palindromic prime
 Cuban prime
 Lucky prime
Magic squares, etc.
 Ulam spiral
 Magic star
 Magic square
 Magic cube
 Magic tesseract
 Perfect magic tesseract
 Semiperfect magic tesseract
 Magic hypercube
 Magic constant
 Squaring the square
Categories: Mathematicsrelated lists
 Number theory
 Recreational mathematics
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