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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.)
re: Half A proof | Comment 5 of 8 |
(In reply to Half A proof by Steve Herman)

4 in a row is possible, but the numbers are very big. The solution is quicker to find if you test numbers of the form 2*p^2 for primes p.



  Posted by Math Man on 2017-04-02 16:48:17
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