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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.

Submitted by Jer

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Solution: (Hide)

9 and 10
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.
Asking to continue up to ten was indeed a red herring.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Answer	K Sengupta	2024-02-12 21:37:34
re: Hemidemisemi...	brianjn	2009-09-06 09:11:22
Hemidemisemi...	ed bottemiller	2009-09-04 14:58:56

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