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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: ( You must be logged in to post comments.)
  Subject Author Date
Hints/TipsFound FiveBrian Smith2017-04-02 21:17:20
Some ThoughtsA simpler proof that 6 in a row is impossibleSteve Herman2017-04-02 20:01:20
re(2): Half A proofCharlie2017-04-02 19:08:32
re: Half A proofMath Man2017-04-02 16:48:17
Half A proofSteve Herman2017-04-02 11:17:51
Some Thoughtsre(2): computer so farSteve Herman2017-04-02 10:40:23
re: computer so farCharlie2017-04-02 09:56:47
computer so farCharlie2017-04-01 15:57:10
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