# Category:Recreational Mathematics

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This category contains results about **Recreational Mathematics**.

Definitions specific to this category can be found in Definitions/Recreational Mathematics.

**Recreational mathematics** is a branch of mathematics which studies interesting mathematical phenomena for no reason but for the amusement and entertainment of the mathematician.

## Subcategories

This category has the following 90 subcategories, out of 90 total.

### A

- Amicable Triplets (4 P)
- Anagrams (1 P)
- Anomalous Cancellation (12 P)

### C

- Cryptarithms (9 P)
- Cyclic Numbers (1 P)

### D

- Deletable Primes (3 P)
- Dominoes (17 P)

### E

- Earthworm Sequence (1 P)
- EPORNs (5 P)

### F

### H

### I

- Interesting Numbers (empty)

### J

- Juggler Sequences (1 P)

### K

- Kaprekar's Process (5 P)

### L

- Loculus of Archimedes (2 P)

### M

- Magic Hexagons (6 P)
- Multiplicative Magic Squares (9 P)

### O

- Orchard Planting Problem (14 P)

### P

- Palindromes (1 P)
- Pandigital Fractions (27 P)
- Pea Patterns (8 P)
- Penholodigital Integers (10 P)
- Polydivisible Numbers (3 P)
- Prime Magic Squares (9 P)

### Q

### R

- Reverse-and-Add (4 P)

### S

### T

- Think of a Number Puzzles (8 P)

### U

### Z

## Pages in category "Recreational Mathematics"

The following 95 pages are in this category, out of 95 total.

### 1

### 2

### C

### D

### I

- Integer and its Double forming Pandigital Pair
- Integer which is Multiplied by 9 when moving Last Digit to First
- Integer which is Multiplied by Last Digit when moving Last Digit to First
- Integer whose Digits when Grouped in 3s add to Multiple of 999 is Divisible by 999
- Integers whose Squares end in 444

### L

- Largest Integer whose Digits taken in Pairs all form Distinct Primes
- Largest n such that 1 to n can be Partitioned for no Element to be Sum of 2 Elements in Same Set
- Largest nth Power which has n Digits
- Largest Product of Pandigital Factors
- Length of God's Algorithm for Sam Loyd's Fifteen Puzzle
- Letters of Names of Numbers in Alphabetical Order
- Lightning Calculation by 9-Digit Number

### N

- Non-Palindromes in Base 2 by Reverse-and-Add Process
- Number of Convex Polygons from Complete Set of Hexiamonds
- Number of Ways to Tile Standard Chessboard with Dominoes
- Number whose Square and Cube use all Digits Once
- Numbers equal to Sum of Squares of two Parts
- Numbers that cannot be made Prime by changing 1 Digit
- Numbers which are Sum of Increasing Powers of Digits
- Numbers which Multiplied by 2 are the Reverse of when Added to 2
- Numbers whose Product with Reverse are Equal
- Numbers whose Product with Reverse are Equal/Historical Note
- Numbers whose Squares are Consecutive Odd or Even Integers Juxtaposed
- Numbers whose Squares have Digits which form Consecutive Decreasing Integers
- Numbers whose Squares have Digits which form Consecutive Increasing Integers
- Numbers whose Squares have Digits which form Consecutive Integers

### P

- Palindromes Formed by Multiplying by 55
- Pandigital Sum whose Components are Multiples
- Penholodigital Square Equation
- Primorials which are Product of Consecutive Integers
- Products of 2-Digit Pairs which Reversed reveal Same Product
- Products of Repdigit Numbers
- Properties of 12,345,679
- Properties of 5,559,060,566,555,523
- Properties of Family of 333,667 and Related Numbers
- Properties of Family of 333,667 and Related Numbers/Product with Certain Repetitive Numbers
- Properties of Family of 333,667 and Related Numbers/Squares

### R

### S

- Sequence of 5 Consecutive Non-Primable Numbers by Changing 1 Digit
- Sequence of Numbers Divisible by Sequence of Primes
- Sequence of Squares Beginning and Ending with n 4s
- Sequence of Sum of Squares of Digits
- Set of 5 Triplets whose Sums and Products are Equal
- Seven Touching Cylinders
- Smallest Integer using Three Words in English Description
- Smallest Integer which is Product of 4 Triples all with Same Sum
- Smallest Multiple of 9 with all Digits Even
- Smallest Number which is Multiplied by 99 by Appending 1 to Each End
- Smallest Perfect Square Dissection
- Square of Reversal of Small-Digit Number
- Square of Small-Digit Palindromic Number is Palindromic
- Squares Ending in 5 Occurrences of 2-Digit Pattern
- Squares Ending in n Occurrences of m-Digit Pattern
- Squares Ending in n Occurrences of m-Digit Pattern/Example
- Squares of 23...3
- Squares of 3...34
- Squares of 3...34/Historical Note
- Squares whose Digits can be Separated into 2 other Squares
- Squares whose Digits form Consecutive Decreasing Integers
- Squares whose Digits form Consecutive Increasing Integers
- Squares whose Digits form Consecutive Integers
- Squares with No More than 2 Distinct Digits
- Sum of 3 Unit Fractions that equals 1
- Sum of 4 Unit Fractions that equals 1
- Sum of 5 Unit Fractions that equals 1
- Sum of 6 Unit Fractions that equals 1