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A104904 Numbers n such that d(n)*pi(n)=n, where d(n) is the number of positive divisors of n. 2

%I #6 Mar 30 2012 17:37:42

%S 2,8408,481044,189961452,75370122528,75370124832,4086199302976,

%T 221945984411264

%N Numbers n such that d(n)*pi(n)=n, where d(n) is the number of positive divisors of n.

%C Next term is greater than 3*10^9.

%e 189961452 is in the sequence because d(189961452)=18; pi(189961452)=10553414 & 18*10553414=189961452.

%t Do[If[DivisorSigma[0, n]*PrimePi[n] == n, Print[n]], {n, 2000000000}]

%Y Cf. A063903, A104905, A104906.

%K hard,more,nonn

%O 1,1

%A _Farideh Firoozbakht_, Apr 12 2005

%E a(5)-a(8) from _Donovan Johnson_, Dec 08 2009

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)