Find all positive integers such that the set {n, n+ 1, n+ 2, n+ 3, n+ 4, n+ 5} can be partitioned into two subsets so that...[Full Q. Below]

Asked Dec 04 '20 at 12:12

Active Dec 04 '20 at 12:12

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Find all positive integers such that the set {n, n+ 1, n+ 2, n+ 3, n+ 4, n+ 5} can be partitioned into two subsets so that the product of the numbers in each subset is equal

My Approach:

Well to be honest, I couldn't think of anything, I tried a few cases but they didn't prove to be any help

asked Dec 04 '20 at 12:12

Patrick Schick

Does this answer your question? product of the numbers in each subset is equal – player3236 Dec 04 '20 at 12:23
It would be valuable to work $n=1$. Then you can eliminate several possibilities for all $n$ after working $\pmod p$ for low values of $p\ge 2$. – Aaron Goldsmith Dec 04 '20 at 12:23

Find all positive integers such that the set {n, n+ 1, n+ 2, n+ 3, n+ 4, n+ 5} can be partitioned into two subsets so that...[Full Q. Below]

0 Answers0