Number File
Published on 23. August 2021
36 pages
978-1-85811-848-2 (ISBN)
Description
This book is a collection of numbers which have interesting properties. There are lists of primes, squares, Pythagorean Triples, numbers with many factors and numbers with few, recurring decimals with special properties etc. etc. It will be of interest to any teacher who is looking for interesting material on number or indeed anyone prepared to be fascinated by the properties of ordinary or some would say extraordinary numbers.
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Content
- Cover
- Introduction, Contents and Copyright
- Some numbers with many prime factors
- Some numbers with factors only close to the square root
- Some fractions which cancel satisfyingly
- Squares of integers to 100
- Cubes of integers to 100
- Fourth powers of integers to 100
- Fifth powers of integers to 30
- Sixth powers of integers to 30
- The first 200 triangle numbers
- Pascal's triangle
- A curious triangle
- Factorials
- Prime numbers
- The sieve of Eratosthenes
- Twin primes
- Primes to 5000
- Primes 5000 -10000
- Finding larger primes
- A very large prime
- Mersenne primes
- Modular arithmetic
- Fermat's little theorem
- Pseudoprimes
- Testing a very large number
- Counting the number of primes
- Goldbach's theorem
- Perfect numbers
- Pythagorean triples
- A hypoteneuse in two ways
- A hypoteneuse in four ways
- Generating Pythagorean triples
- A curious proportion
- Fermat's last theorem
- Fractions into decimals
- Cyclic decimals
- Number 1/n which repeat in (n/1) digits
- Some curious relationships
- Some curious approximations
- Some curious products
- Fibonacci numbers
- 3 x 3 magic squares
- A 3 x 3 multiplicative magic square
- 4 x 4 magic squares
- 5 x 5 magic squares
- Concentric or embedded magic squares
- 1000 random numbers
- Random numbers on a computer
- Pi to 1000 decimal places
- e to 1000 decimal places
- Square root of 2 to 1000 decimal places
- The Golden ratio to 1000 decimal places
- Numbers in base 10
- Numbers in bases 9 and 8
- Numbers in bases 7,6,5,4,3,2
- Numbers in base 12
- Numbers in base 16
- Back cover
