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Prime power puzzle (Posted on 2017-04-01) Difficulty: 3 of 5
603, 604, and 605 are the first 3 consecutive integers that are the product of a prime and another prime squared.

603=32*67
604=22*151
605=5*112

1. What is the first set of 4 consecutive integers that are the product of a prime and another prime squared?
2. What is the first set of 5 consecutive integers that are the product of a prime and another prime squared?

No Solution Yet Submitted by Math Man    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re(2): computer so far | Comment 3 of 8 |
(In reply to re: computer so far by Charlie)

Charlie:


It might be useful to list the first dozen (or so) triples.  If any of them start with an even number, then your suggested proof will not work.  If none of them start with an even number, then your suggested proof might work.

  Posted by Steve Herman on 2017-04-02 10:40:23
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