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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

Nehushtan
2013-11-16 18:54:30



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.

anonimnystefy
2013-11-16 12:49:00

For that to be an integer, 484 must be divisible by (n+23).

The positive solutions are 21, 98, 219, 461.

cooljackiec
2013-11-16 12:04:30

There are exactly four positive integers such that

is an integer. Compute the largest such n

i only found negative solutions

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