There are exactly four positive integers such thatis an integer. Compute the largest such n
i only found negative solutions
I see you have graph paper.
You must be plotting something
For that to be an integer, 484 must be divisible by (n+23).
The positive solutions are 21, 98, 219, 461.
Last edited by anonimnystefy (2013-11-15 13:53:17)
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This is an integer if and only if 484 is divisible by n+23. The factors of 484 are ±1, ±2, ±4, ±11, ±22, ±44, ±121, ±242, ±484 so there are 18 solutions altogether. The positive ones are given by n + 23 = 44, 121, 242, 484.
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