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World!Of Palindromic Primes
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Introduction

Palindromic Primes are primes that read the same

 p_right left to right (forwards) as from the right to left (backwards) p_left
Here are a few random examples : 3, 131, 71317, 134757431


This study exposes some statistics concerning palindromic primes.
For every length it gives the total number of existing palindromic primes
as well the smallest and greatest primes for those lengths.
Also in this section, now dispersed over five pages, you'll find a variety of
facts and figures about palindromic primes. Don't look for a logical order. It is
just an amalgamation of randomly gathered curios, puzzles, contributions and
more general information. I hope you like them.

Enjoy!



flash [ June 4, 2014 ]

The newest palindromic prime record is from David Broadhurst
Phi(3, 10160118) +
(137 * 10160119 + 731 * 10159275) * (10843 - 1)/999

(320237 digits)
Written out it looks like this :
1_(0)159274_(137)281_1_(731)281_(0)159274_1



Source (Primeform, NMBRTHRY, ...)
From The Largest Known Primes!
Top Twenty Record Palindromic Primes
Message 11475 Big Palindrome


A link to this World!Of palindromic primes page has been added to
Chris Caldwell's very professionally built and maintained primes website.
See section :theory:special forms:palindrome at Prime Links + +.






Article contributions






Table of Contents

    Palprime Page Page 1
  • Palindromic Prime Statistics
    • the table itself - co-authors Martin Eibl, Carlos Rivera and Warut Roonguthai
    • palindromic primes of length 3 (total 15)
    • palindromic primes of length 5 (total 93)
    • palindromic primes of length 7 (the "Twin Pairs")
  • Every palindrome (except 11) with an even number of digits is composite


    Palprime Page Page 2
  • The record proven palindromic prime - now 320237 digits long ! by David Broadhurst  [ new ]
  • Harvey Dubner's
    • picture sitting at his computer
    • HD's former palindromic prime records
    • doubly palindromic prime record (with palindromic prime length) - now 98689 digits long !
    • palindromic primes in 'arithmetic progression'
    • palindromic Sophie Germain primes
  • Warut Roonguthai's
    • smallest palindromic primes in 'arithmetic progression'
  • Nicholas Angelou's
    • straightforward plateau palprimes


    Palprime Page Page 3
  • Various puzzles, facts and figures, discoveries from
    • G. L. Honaker, Jr. - Palindromic Prime Pyramid Puzzle
    • Patrick De Geest - About 13331 - About 134757431 - Smallest primes that are palindromic
    • Carlos Rivera & Jaime Ayala - Magic Squares - Sums of three consecutive palprimes - About 71317
    • Enoch Haga - Palprimes in M37 (the 37th Mersenne prime)
    • G. L. Honaker, Jr. - Trinity of the Beast - Honaker's Constant - Some nice palprimes
    • Mike Keith - Descriptive primes


    Palprime Page Page 4
  • A closer look at the fifteen threedigit palprimes
    • About palprime 313 - or Enoch Haga's Number of the Duck
      Enoch Haga's cartoon about the duck's army !
    • About palprime 353
    • About palprime 373


    Palprime Page Page 5
  • Palindromic Primes embedded between equal single digits
    • by Zakir Seidov
  • Some Palindromic Primes Assignments
    • Admire Jud McCranie's solutions for assignment 2
  • Sources Revealed and Related Internet Sites
    • Integer Sequences about Palprimes in Neil Sloane's Online Encyclopedia
    • Various book and web sources, reference material








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(All rights reserved) - Last modified : June 6, 2014.
Patrick De Geest - Belgium flag - Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com