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A174394 Fourth root of largest n-digit number with exactly five divisors 0


%S 3,5,7,17,31,53,97,173,313,557,997,1777,3137,5623,9973,17761,31607,

%T 56209,99991,177823,316223,562337,999983,1778279,3162277,5623403,

%U 9999991,17782769,31622743,56234069,99999989,177827917,316227731,562341293,999999937,1778279401,3162277633,5623413241,9999999967,17782794047,31622776589,56234132519,99999999977,177827941003,316227766003,562341325181,999999999989,1778279410013,3162277660153

%N Fourth root of largest n-digit number with exactly five divisors

%e a(2) = 3 since 3^4 = 81, the largest 2-digit number with exactly five divisors (1, 3, 9, 27, 81). All higher 2-digit numbers (82 to 99) have either fewer or more divisors than 81.

%t Table[Prime[PrimePi[10^(n/4)]],{n,2,50}]

%Y a(n)=(A182647(n))^(1/4).

%K nonn,base

%O 2,1

%A _Zak Seidov_, Nov 27 2010

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Last modified December 6 19:33 EST 2022. Contains 358648 sequences. (Running on oeis4.)