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Seiichi Manyama, <a href="/A341902/b341902.txt">Table of n, a(n) for n = 0..10000</a>
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a[n_] := Module[{k = 2}, While[! Divisible[n^3 + k, n + k], k++]; k]; Array[a, 100, 0] (* Amiram Eldar, Jun 04 2021 *)
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a(n) <= n-2 for all n > 3.
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