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

Home > Numbers
Odd primes never die (Posted on 2010-05-20) Difficulty: 4 of 5
I 've found an interesting table of numbers in an old issue of JMR, dedicated to astounding trivia regarding primes.
Erasing all the digits in the table's footnotes I got a challenging, albeit solvable puzzle:
The XX consecutive primes from X to XX sum up to the prime number XXX.
Also when arranged in groups of three, each group sums up to a prime number.
Furthermore, those partial sums with their digits reversed, also sum up to the same sum as before the reversal!

Try to reconstruct the trivia : both the table and the text.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: further study A HINT- not a spoiler\ | Comment 3 of 11 |
(In reply to further study by Daniel)

One of your candidate lists, when arranged in XX/3 disjoint triples of primes provides the full solution.

As to the ambiguity of  the wording, - I changed nothing in the original text- just substituted Xes for digits.

Carry on your good work- you are very close- just find the right list and the right partition.

Small hint :  number 2 cannot be a part of any triple.


  Posted by Ady TZIDON on 2010-05-20 14:04:44
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (15)
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