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

Home > Just Math
Primes in arithmetic progression (Posted on 2008-09-30) Difficulty: 3 of 5
Ten primes, each less than 3000, form an arithmetic progression. Find them.

See The Solution Submitted by pcbouhid    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Slightly larger | Comment 8 of 9 |

Staying within the bounds of 100000 (i.e. 9592 primes), and making use of the aperçu from a prior post that the addend must be a multiple of 210 (nice reasoning!), I found only three higher sets which allowed progressions of 10 primes -- but did not find any sets with more:

30427 + 4830 (1..9)

34913 + 2100 (1..9)

52879 + 420 (1..9)

so it appears that the logic of division- of the addend by 2,3,5,7 does not seem to have an obvious extension (e.g. by use of 11, etc.).

 


  Posted by ed bottemiller on 2008-09-30 20:07:00
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