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A049103 Numbers k such that k and k+1 both have 6 divisors. 9

%I #35 Nov 11 2020 02:43:14

%S 44,75,98,116,147,171,242,243,244,332,387,507,548,603,604,724,844,908,

%T 931,963,1075,1083,1251,1324,1412,1467,1556,1587,1675,1772,2523,2524,

%U 2636,2644,2763,3283,3356,3411,3508,3788,3987,4075,4203,4204,4418,4491,4804,4868,4923,4924

%N Numbers k such that k and k+1 both have 6 divisors.

%D David Wells, The Penguin Dictionary of Curious and Interesting Numbers, Penguin Books, 1986, entry 44, p. 103.

%H Amiram Eldar, <a href="/A049103/b049103.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..1000 from Vincenzo Librandi)

%F a(n) = A049104(n) - 1. - _Zak Seidov_, Feb 11 2016

%t Flatten[Position[Partition[Table[DivisorSigma[0,n],{n,5000}],2,1],_?(# == {6,6}&)]] (* _Harvey P. Dale_, Apr 09 2012 *)

%o (PARI) isok(n) = (numdiv(n) == 6) && (numdiv(n+1) == 6); \\ _Michel Marcus_, Feb 11 2016

%Y Intersection of A005237 and A030515.

%Y Cf. A038400, A049104.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, _Felice Russo_, _Olivier GĂ©rard_

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Last modified April 25 06:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)