perplexus.info :: Numbers : Consecutive Semiprimes

Home > Numbers

Consecutive Semiprimes (Posted on 2009-09-04)

The smallest semiprime is 4 because it is the product of exactly 2 primes (2 and 2) and the next is 6.

Find the smallest pair of consecutive numbers that are semiprimes.

Find the smallest three consecutive numbers that are semiprimes.

Find the smallest four consecutive numbers that are semiprimes.

Continue up to ten.

See The Solution Submitted by Jer

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

Puzzle Answer

Comment 3 of 3 |

(i) 9 and 10.

(ii) 33, 34, and 35.

No longer sets are possible because any set of 4 or more consecutive will contain a number that is a multiple of 4. This number will have at least three prime factors and cannot be a semiprime.

Edited on April 9, 2024, 9:59 am

Posted by K Sengupta on 2024-02-12 21:37:34

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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info