perplexus.info :: Just Math : Prime power puzzle

Prime power puzzle (Posted on 2017-04-01)

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?

Submitted by Math Man

Rating: 5.0000 (1 votes)

Solution: (Hide)

1. 17042641441, 17042641442, 17042641443, 17042641444
2. 10093613546512321, 10093613546512322, 10093613546512323, 10093613546512324, 10093613546512325

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

Subject	Author	Date
re: Found Five	Chem Academy	2019-04-29 06:27:36
Found Five	Brian Smith	2017-04-02 21:17:20
A simpler proof that 6 in a row is impossible	Steve Herman	2017-04-02 20:01:20
re(2): Half A proof	Charlie	2017-04-02 19:08:32
re: Half A proof	Math Man	2017-04-02 16:48:17
Half A proof	Steve Herman	2017-04-02 11:17:51
re(2): computer so far	Steve Herman	2017-04-02 10:40:23
re: computer so far	Charlie	2017-04-02 09:56:47
computer so far	Charlie	2017-04-01 15:57:10

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