Integerology

86 entries

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• On finding the smallest happy numbers of any heights
  • Published in 2019
  • Added on 2026-07-04
• Zoo of Numbers
  • Published in 2006
  • Added on 2026-06-23
• Consecutive Integers and the Collatz Conjecture
  • Published in 2015
  • Added on 2026-06-18
• The first 50 million prime numbers
  • Published in 1977
  • Added on 2026-04-10
• The Extraordinary Power of Division in Straight Line Programs
  • Published in 2012
  • Added on 2026-02-06
• The cost of computing integers
  • Published in 1996
  • Added on 2026-02-06
• On Formulae for the Nth Prime Number
  • Published in 1964
  • Added on 2026-01-12
• Magic Triangles
  • Published in 2022
  • Added on 2026-01-12
• PrimePages: prime number research records and results
  • Published in 2022
  • Added on 2025-11-27
• The On-Line Encyclopedia of Integer Sequences (OEIS)
  • Published in 1996
  • Added on 2025-06-18
• Integers that are not the sum of positive powers
  • Published in 2024
  • Added on 2024-06-21
• Sur la loi de répartition du k-ième facteur premier d'un entier
  • Published in 2002
  • Added on 2024-05-24
• The Euclidean Algorithm Generates Traditional Musical Rhythms
  • Published in 2005
  • Added on 2023-10-25
• When Can You Tile an Integer Rectangle with Integer Squares?
  • Published in 2023
  • Added on 2023-10-09
• MetaNumbers - Number encyclopedia
  • Published in 2019
  • Added on 2023-03-22
• List of numbers - Googology Wiki
  • Published in 2013
  • Added on 2022-08-09
• Stuttering look and say sequences and a challenger to Conway's most complicated algebraic number from the silliest source
  • Published in 2022
  • Added on 2022-07-08
• A simple mnemonic to compute sums of powers
  • Published in 2022
  • Added on 2022-04-24
• Descending Dungeons and Iterated Base-Changing
  • Published in 2006
  • Added on 2022-02-28
• On Kaprekar's Junction Numbers
  • Published in 2021
  • Added on 2022-01-10
• Yet another Proof of an old Hat
  • Published in 2021
  • Added on 2021-11-20
• Fruit Diophantine Equation
  • Published in 2021
  • Added on 2021-08-29
• Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers
  • Published in 2021
  • Added on 2021-02-12
• A Prime-Representing Constant
  • Published in 2020
  • Added on 2020-11-06
• Generating functions for generating trees
  • Published in 2002
  • Added on 2020-10-24
• Least Significant Non-Zero Digit of n!
  • Published in 2000
  • Added on 2020-10-22
• Fertility Numbers
  • Published in 2018
  • Added on 2020-10-16
• Astonishing Numbers
  • Published in 2001
  • Added on 2020-08-28
• Some Doubly Exponential Sequences
  • Published in 1970
  • Added on 2020-07-13
• Infinitude of Primes Using Formal Language Theory
  • Published in 2020
  • Added on 2020-05-25
• 38406501359372282063949 & all that: Monodromy of Fano Problems
  • Published in 2020
  • Added on 2020-05-06
• On Some two way Classifications of Integers
  • Published in 1959
  • Added on 2020-03-13
• Theory and applications of the double-base number system
  • Published in 1999
  • Added on 2020-02-03
• Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins
  • Published in 2009
  • Added on 2019-09-14
• Fractal Sequences
  • Published in 1999
  • Added on 2019-08-21
• Numbers for Masochists: A Guide to Mental Factoring
  • Published in 2018
  • Added on 2019-07-31
• Brazilian Primes Which Are Also Sophie Germain Primes
  • Published in 2019
  • Added on 2019-03-13
• Prime Number Races
  • Published in 2004
  • Added on 2018-11-12
• Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 B.C.--2017) and another new proof
  • Published in 2012
  • Added on 2018-08-21
• When are Multiples of Polygonal Numbers again Polygonal Numbers?
  • Published in 2018
  • Added on 2018-06-25
• Notable Properties of Specific Numbers
  • Added on 2018-03-05
• almanach ou dictionnaire des nombres - curiosités et propriétés
  • Added on 2018-03-05
• Factoring in the Chicken McNugget monoid
  • Published in 2017
  • Added on 2017-09-06
• The Curling Number Conjecture
  • Published in 2009
  • Added on 2017-07-31
• The ternary calculating machine of Thomas Fowler
  • Published in 1997
  • Added on 2017-06-22
• The number dictionary
  • Published in 2008
  • Added on 2017-04-12
• Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9
  • Published in 2013
  • Added on 2017-03-12
• Three Thoughts on “Prime Simplicity”
  • Published in 2012
  • Added on 2017-02-27
• Prime Simplicity
  • Published in 2009
  • Added on 2017-02-27
• Every natural number is the sum of forty-nine palindromes
  • Published in 2015
  • Added on 2016-12-17
• Sequences of consecutive \(n\)-Niven numbers
  • Published in 1992
  • Added on 2016-12-05
• Quasipractical Numbers
  • Published in 1980
  • Added on 2016-11-28
• On the interval containing at least one prime number
  • Published in 1952
  • Added on 2016-11-14
• Avoiding Squares and Overlaps Over the Natural Numbers
  • Published in 2009
  • Added on 2016-10-03
• Historical methods for multiplication
  • Published in 2010
  • Added on 2016-09-22
• Searching for generalized binary number systems
  • Published in 2017
  • Added on 2016-08-22
• Rational Polynomials That Take Integer Values at the Fibonacci Numbers
  • Published in 2016
  • Added on 2016-08-02
• An Irrationality Measure for Regular Paperfolding Numbers
  • Published in 2012
  • Added on 2016-07-11
• What is the smallest prime?
  • Published in 2012
  • Added on 2016-07-05
• Photoelectric Number Sieve Machine ("Gear Machine")
  • Published in 1932
  • Added on 2016-06-13
• Dismal Arithmetic
  • Published in 2011
  • Added on 2016-05-19
• Prime numbers in certain arithmetic progressions
  • Published in 2001
  • Added on 2016-05-07
• Transposable integers in arbitrary bases
  • Published in 1985
  • Added on 2016-04-19
• On the Number of Times an Integer Occurs as a Binomial Coefficient
  • Published in 1974
  • Added on 2015-11-30
• Representations of Palindromic, Prime and Number Patterns
  • Published in 2015
  • Added on 2015-06-12
• On Legendre's Prime Number Formula
  • Published in 1980
  • Added on 2015-03-06
• Efficient Algorithms for Zeckendorf Arithmetic
  • Published in 2012
  • Added on 2015-02-16
• The Super Patalan Numbers
  • Published in 2014
  • Added on 2014-10-23
• Generalizing Zeckendorf's Theorem to f-decompositions
  • Published in 2013
  • Added on 2014-04-28
• A number system with an irrational base
  • Published in 1957
  • Added on 2014-03-12
• WHAT IS Lehmer's number?
  • Published in 2009
  • Added on 2013-12-03
• Wolstenholme's theorem: Its Generalizations and Extensions in the last hundred and fifty years (1862--2012)
  • Published in 2011
  • Added on 2013-11-21
• 2178 And All That
  • Published in 2013
  • Added on 2013-11-20
• Fibonacci numbers and Leonardo numbers
  • Published in 1981
  • Added on 2013-11-19
• Giuga Numbers and the arithmetic derivative
  • Published in 2011
  • Added on 2013-11-15
• Practical numbers
  • Published in 1948
  • Added on 2013-10-31
• How to differentiate a number
  • Published in 2003
  • Added on 2013-10-31
• Sloane's Gap: Do Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS?
  • Published in 2011
  • Added on 2013-10-17
• The Strange and Surprising Saga of the Somos Sequences
  • Published in 1991
  • Added on 2013-10-09
• Smooth neighbors
  • Published in 2012
  • Added on 2013-07-11
• Zeroless Arithmetic: Representing Integers ONLY using ONE
  • Published in 2013
  • Added on 2013-03-07
• Seven Staggering Sequences
  • Published in 2006
  • Added on 2012-07-14
• The top ten prime numbers
  • Published in 2001
  • Added on 2012-06-28
• High Primes and Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh Cowie Williams
  • Published in 2004
  • Added on 2012-04-12
• On a curious property of 3435
  • Published in 2009
  • Added on 2011-02-02
• On Furstenberg's Proof of the Infinitude of Primes
  • Published in 2009
  • Added on 2010-09-09