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A253287 Numbers representable as x^y + x*y and as b^c + b + c, where x, y, b, c are integers > 1. 0

%I #36 Dec 31 2021 22:22:46

%S 8,14,3135,10714,70342709283

%N Numbers representable as x^y + x*y and as b^c + b + c, where x, y, b, c are integers > 1.

%C Intersection of A250004 and A253775.

%C No more terms < 10^20. - _Lars Blomberg_, Dec 13 2015

%e a(2) = 14 = 2^3 + 2*3 = 3^2 + 2 + 3.

%e a(3) = 3135 = 55^2 + 55*2 = 5^5 + 5 + 5.

%e a(4) = 10714 = 22^3 + 22*3 = 103^2 + 103 + 2.

%e a(5) = 70342709283 = 265221^2 + 265221*2 = 4128^3 + 4128 + 3.

%Y Cf. A250004, A253775.

%K nonn,more

%O 1,1

%A _Alex Ratushnyak_, Jan 18 2015

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Last modified May 28 04:02 EDT 2024. Contains 372900 sequences. (Running on oeis4.)