A357608 Numbers k such that k and k+1 are both in A357605.

76544, 104895, 126224, 165375, 170624, 174824, 201824, 245024, 257984, 271215, 273104, 316575, 338624, 387855, 447615, 469664, 477224, 540224, 618975, 633555, 641024, 659295, 705375, 752895, 770175, 842624, 843975, 862784, 870975, 893024, 913275, 957824, 1047375

Offset: 1

Author

Amiram Eldar, Oct 06 2022

Keywords

• nonn

Comments

Numbers k such that A162296(k) > 2*k and A162296(k+1) > 2*(k+1).

Examples

			76544 is a term since 76544 and 76545 are both in A357605: A162296(76544) = 170688 > 2*76544 and A162296(76545) = 157248 > 2*76545.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A162296.

Subsequence of A013929, A096399 and A357605.

Similar sequences: A096399, A283418, A318167, A327635, A327942, A331412, A333951.

Programs

Mathematica

q[n_] := Module[{f = FactorInteger[n], p, e}, p = f[[;; , 1]]; e = f[[;; , 2]]; Times @@ ((p^(e + 1) - 1)/(p - 1)) - Times @@ (p + 1) > 2*n]; Select[Range[2, 10^6], q[#] && q[#+1] &]