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

Home > Numbers
From primes to palindromes (Posted on 2018-05-16) Difficulty: 3 of 5

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
OEIS crossreferencing | Comment 2 of 4 |
The palindromic cubes http://oeis.org/A002781
begins 0, 1, 8, 343, 1331, 1030301, ...


Number of ways of representing n as the sum of one or more consecutive primes: http://oeis.org/A054845

Shows one solution for 8 (given) none for 343, one solution for 1331 (as shown by Dej Mar).

There is a table that goes to 10000, which is insufficient for 1030301.
I searched for this a bit with a table of primes.  If 1030301 can be written as the sum of consecutive primes, there must be at least 13 of them.

(I also wonder what a trivial case would look like.)


Edited on May 16, 2018, 2:21 pm
  Posted by Jer on 2018-05-16 10:06:09

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 (0)
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