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A069062 Numbers k such that k^2-1 and k^2+1 have the same number of positive divisors. 2

%I #17 Jun 04 2022 04:30:00

%S 2,3,12,30,42,60,68,102,108,112,123,128,162,168,198,200,212,213,252,

%T 294,302,312,318,333,336,338,372,387,447,448,450,462,498,502,522,542,

%U 578,592,598,600,606,612,648,672,678,708,717,752,762,795,808,810,812

%N Numbers k such that k^2-1 and k^2+1 have the same number of positive divisors.

%H Amiram Eldar, <a href="/A069062/b069062.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[1000], DivisorSigma[0, #^2 - 1] == DivisorSigma[0, #^2 + 1] &] (* _Amiram Eldar_, Jun 04 2022 *)

%o (PARI) isok(n) = numdiv(n^2-1) == numdiv(n^2+1); \\ _Michel Marcus_, Nov 24 2013

%Y Cf. A000005, A002522, A005563, A193432, A347191.

%K easy,nonn

%O 1,1

%A _Benoit Cloitre_, Apr 04 2002

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Last modified April 19 06:16 EDT 2024. Contains 371782 sequences. (Running on oeis4.)