All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Emir P. Prime (Posted on 2007-04-19) Difficulty: 2 of 5

Can you identify the five-digit sphenic palindrome

  • where the sum of its digits is a palindromic prime,
  • where of one its factors is a multi-digit palindromic prime, and
  • the sum of its factors is also a palindromic prime?

Can you identify any other sphenic palindrome that has these characteristics?

A sphenic number is a positive integer and product of three distinct primes.
A palindromic number is a number that is the same when written forwards or backwards.

  Submitted by Dej Mar    
Rating: 4.3333 (3 votes)
Solution: (Hide)

32123. The sum of its digits is 11, the smallest palindromic prime (palprime) of two or more digits. 32123's factors are 7, 13, and the palprime 353. The sum of its factors equals the palprime 373 (= 7+13+353).

As to the question if there are any other sphenic palindromes with the same characteristics, the question may ever go unanswered. No prime less than 13 digits, other than 32123, fits the conditions.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle AnswerK Sengupta2022-08-22 12:46:29
re(2): Analytic SolutionJayDeeKay2007-04-19 15:28:52
re: Analytic SolutionCharlie2007-04-19 14:45:34
Analytic SolutionJayDeeKay2007-04-19 13:41:00
Solutioncomputer solutionCharlie2007-04-19 12:05:26
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (14)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information