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

Home > Numbers
Complementary, my dear Watson (Posted on 2012-06-22) Difficulty: 4 of 5
A Digit Complementary Prime Pair is defined as a pair of prime numbers in which digits in corresponding positions sum to 0 mod 10, e.g. (4721, 6389).
Out of the 136 existing four digit pairs find at least one pair for each of the following requirements (a to f):
a. a reversible prime pair
b. the two primes contain 8 different digits
c. twin primes
d. both primes contain a permutation of 4 consecutive digits
e. first member of the pair contains the 4 prime digits in order
f. each prime contains 3 digits the same

Source: Charles W. Trigg, JRM 22:2, 1990, p 95-97

Bonus: Find a 50 digit DCPP, satisfying a).

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Bonus | Comment 5 of 6 |
(In reply to re: Bonus by Charlie)

Considering the power of our PCs Charlie I was thinking the same.

Edited on June 23, 2012, 10:10 pm
  Posted by brianjn on 2012-06-23 22:09:47

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 (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information