perplexus.info :: Just Math : Consecutive Primes

Consecutive Primes (Posted on 2005-01-24)

Show that the sum of two consecutive odd primes has at least 3 (not necessarily distinct) prime factors. For example,

3+5=2*2*2
5+7=2*2*3
7+11=2*3*3

See The Solution Submitted by David Shin

Rating: 3.1667 (6 votes)

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

re: at least 3

| Comment 3 of 6 |

(In reply to at least 3 by Ady TZIDON)

That is not the case, for 7+11 does not equal 2*2*n where n is an integer.

Posted by Tristan on 2005-01-24 15:47:57

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