A216439 -id:A216439 - cp's OEIS frontend

A216471 Smallest k such that k*n^4 + 1 is an n-th power.

1, 3, 271, 61535, 50812751, 21358519, 237419801716063, 1135029771535910655, 8972959412935210028959, 91620671606331844031, 1599468651197092802422012477487, 702649782312030280795815963215, 978557919186290794806960014681034796687

Offset: 1

Michel Lagneau, Sep 10 2012

nonn

			a(3) = 271 because 271*3^4 + 1 = 21952 = 28^3.

Cf. A076943, A193746, A216439.

a={}; Do[k = 2; While[ !IntegerQ[(k^n - 1)/n^4], k++ ]; AppendTo[a, (k^n-1)/n^4], {n, 1, 20}]; a

A216472 Smallest k such that k*n^5 + 1 is an n-th power.

Original entry on oeis.org

1, 7, 2269, 4129151, 30762501251, 2239747210, 27448639374405504361, 2413133306001931169183743, 382044091289242990177493431399, 92389875896827641843360078, 41175701028835553188828526348886198418157, 251171485090270512606177135871202294053615

Offset: 1

Michel Lagneau, Sep 10 2012

nonn

			a(3) = 2269 because 2269*3^5 + 1 = 551368 =  82^3.

Cf. A076943, A193746, A216439, A216471.

a={}; Do[k = 2; While[ !IntegerQ[(k^n - 1)/n^5], k++ ]; AppendTo[a, (k^n-1)/n^5], {n, 1, 20}]; a

cp's OEIS Frontend

A216471 Smallest k such that k*n^4 + 1 is an n-th power.

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