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World!Of Numbers
  Welcome all to this maths info-structure !  
Allow me to present various recreational topics from the
WORLD!OF NUMBERS

In this well-filled website you'll find a multitude of facts and figures
about topics from the  World!Of Numbers . Don't look for a logical
order. It is an amalgamation of randomly gathered numbers, curios,
puzzles, palindromes, primes, gems, your much valued contributions
and more general information.   Enjoy! Patrick De Geest  

  Nieuw   \(\bbox[snow,8px,border:1px blue solid]{\small\text{ALLEMAAL GETALLEN}}\) or \(\bbox[snow,8px,border:1px blue solid]{\small\text{ALL NUMBERS}}\) from \(0\) to \(200\),
thus a whole new lot of dedicated pages in Dutch. It is a collaboration
between Ir. Jos Heynderickx and myself (Patrick De Geest).
We show you their properties, particularities, curiosities, things worth
knowing, puzzles, etc.   Geniet ervan! Jos & Patrick  

triangle tetra square cube circular palpri

 
  Introduction via links to palindrome sites  
 
  Some thematic websources  
 
  Various palindromic number records  

 3  
  Palindromic triangulars  
 
  The most beautiful palindromic triangular  
 
  Exhaustive list of palindromic triangulars  
 
  Subsets of palindromic triangulars  
 
  Details Part A from [1] to [49]  
 
  Details Part B from [50] to [99]  
 
  Details Part C from [100] to [200]  

 
  Palindromic tetrahedrals  
 
  Details of palindromic tetrahedrals  

 4  
  Palindromic squares  
 
  New   → Distributed Search  
 
  Exhaustive list of palindromic squares up to length 31  
 
  Complete list of the sporadic square palindromes (SSP's)  
 
  Subsets of palindromic squares  
 
  Details of palindromic squares  
 
  Extraordinary squares and powers (non-palindromic allowed)  

 
  Palindromic cubes  
 
  Details of palindromic cubes  

 5  
  Palindromic pentagonals  
 
  Details of palindromic pentagonals  
 6  
  Palindromic hexagonals  
 
  Details of palindromic hexagonals  
 7  
  Palindromic heptagonals  
 
  Details of palindromic heptagonals  
 8  
  Palindromic octagonals  
 
  Details of palindromic octagonals  
 9  
  Palindromic nonagonals  
 
  Details of palindromic nonagonals  

 
  Centered palindromic polygonals  

 
  Palindromic primes pages info overview  
 
  Palindromic primes page 1  
 
  Palindromic primes page 2  
 
  Palindromic primes page 3  
 
  Palindromic primes page 4  
 
  Palindromic primes page 5  
 
  Palindromic primes page 6  
 
  Assignment 2  
 
  Assignment 3  
 
  Palprimes where the sum over all digits is a minimum  
 
  Multiple Palprimes “Four in a row”  

 
  Circular primes  

 
  Smoothly Undulating Palindromic Primes - SUPP's  
 
  SUPP's - Sorted By Length  
 
  SUP(P) Factorization lists  
 
  Near Smoothly Undulating Primes with 6-digit undulators  
 
  Near Smoothly Undulating Primes with 22-digit undulators  
 
  Palindromic Wing Primes - PWP's  
 
  PWP's - Sorted By Length  
 
  Palindromic Plateau and Depression Primes - PDP's  
 
  PDP's - Sorted By Length  
 
  Some PDP Factorization lists  
 
  Palindromic Merlon Primes - PMP's  
 
  PMP's - Sorted By Length  

 
  The nine digits page 1  
 
  The nine digits page 2  
 
  The nine digits page 3  
 
  The nine digits page 4  
 
  The nine digits page 5  
 
  The nine digits page 6  
 
  The nine digits page 7  
 
  John Abreu's palindrome puzzle  
 
  Palindromic products of two ninedigital numbers  
 
  Palindromic products of two pandigital numbers  
 
  List of palindromes as products of two pandiagonals  

 
  Palindromic pronic numbers of the form n(n+1)  
 
  Palindromic quasipronic numbers of the form n(n+2)  
 
  Palindromic quasipronics of the form n(n+X)  
 
  Palindromic incremented squares of the form n^2+1  
 
  Palindromic incremented squares of the form n^2+X  
 
  Palindromic decremented squares of the form n^2–X  
 
  Palindromic quasi_over_squares of the form n^2+(n+1)  
 
  Palindromic quasi_over_squares of the form n^2+(n+X)  
 
  Palindromic quasi_under_squares of the form n+(n+1)^2  

 
  Palindromic sums of squares of consecutive integers  
 
  Powers of Consecutives Summing to Palindromes  
 
  Palindromic sums of squares of odd & even consecutives  
 
  Palindromic sums of cubes of consecutive integers  
 
  Palindromic sums of powers of consecutive primes  
 
  Various palindromic sumpatterns  
 
  Sum of first n 'type of numbers' is palindromic  
 
  More palindromic products of integer sequences  
 
  Palindromic products of integers with their reversals  
 
  Palindromic Pythagorean triples  
 
  Palindromic subsets of concatenated sequences  

  Palindromic numbers beyond base 10  
 
  Page 1 - Palindromic in base 10 and bases 2 to 36  
 
  Page 2 - Palindromic squares in bases 2 to 17  
 
  Page 3 - Simultaneous palindromic in two bases less than 10  
 
  Page 4 - Palindromic cubes in bases 2 to 17  

 Factorization 

 
  Home primes - Repeated factorization of concatenated prime factors  
 
  The concatenated numbers from Sm1 up to Sm200  
 
  The reversed concatenations from Rsm1 up to Rsm200  
 
  The repunit prime factors from R1 up to R100  

 
  Facts and figures about 2002 the last palindromic year  
 
  Facts and figures about 2002 continued...  
 
  List of the 4260 left-truncatable primes  
 
  Squares containing at most three distinct digits  
 
  Finding Tridigital Squares using 'Quadratic Residues'  
 
  Numbers whose digits occur with same frequency - Cl. P2  
 
  Classification P3  
 
  Classification P4  
 
  Classification P5  
 
  Sets of 3 composites in bidirectional SOPF pro-/retrogression  

 
  The Prime Brier Brothers Project  
 
  Search for the first PRP megaprime of the form 10^999999+y  
 
  Output data of 10^999999 + y (y < 500000 )  
 
  Doublechecking PRP candidates  

  An ongoing project  
 
  Border PRP's around 'Powers of ten'  
 
  Table in plain text from 00000 to 04999  
 
  Table in plain text from 05000 to 09999  
 
  Table in plain text from 10000 to 14999  
 
  Table in plain text from 15000 to 19999  
 
  Table in plain text from 20000 to 24999  
 
  Table in plain text from 25000 to 29999  
 
  Table in plain text from 30000 to 34999  
 
  Table in plain text from 35000 to 99999  
 
  Packed list of all PRP's of the form 10^n – d up to 30000  
 
  Packed list of all PRP's of the form 10^n + d up to 30000  

  Discontinued  
 
  What was new in my website?  
 
  Whatsnew? archive of 2002  
 
  Whatsnew? archive of 2001  
 
  Whatsnew? archive of 2000  

  Some handy tools  
 
  Multiple precision JavaScript calculator  
 
  Iso Latin I & Unicode character set  
 
  All the 140 colourful exotic color names  

  Some loose ends  
 
  Some old photographs of the editor of this website  
 
  Google Search Pop Up from this very homepage  
 
  Pop Up from 'square.htm' & Wonplate 74 - Probability  
 
  Pop Up from Wonplate 17 about DNA  
 
  Pop Up from Wonplate 17 - Analyse  
 
  Pop Up from Wonplate 16 - Small Puzzle  
 
  Pop Up from 'square.htm' on pseudo palindromes  
 
  Worksheet - Palindromic Sums of Powers  
 
  Worksheet - Sequence from Wonplate 197  
 
  Worksheets from Wonplate 197  

index
Wavetriangle
Join this
refreshing
journey into
the vast space
of numbers !
Mind blowing these triangulars
One dimension up with tetrahedrals
Always seeking more squares
One dimension up with cubes
Keep straight on with circulars
For the prime fans ! primes

Integer Sequences

To look up a number sequence in Sloane's
On-Line Encyclopedia of Integer Sequences,
enter it here and click "Submit":

To list all OEIS submissions from Patrick De Geest
To list all OEIS sequences with keywords Palindrome or Palindromic
Prime Curios! Prime Puzzles The Digits Project Richard Phillips
What's Special About This Number? The Zero Saga Numberland 1-100
Le Nombre 0 Nombre zéro et toutes les connotations associées
Wikipedia 0 (number)










 

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( © All rights reserved ) - Last modified : September 20, 2024.

Patrick De Geest - Belgium - Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com