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A175733 a(n) is the smallest n-digit number with 3 divisors. 6

%I #16 Apr 25 2021 12:18:04

%S 4,25,121,1369,10201,100489,1018081,10004569,100140049,1000267129,

%T 10000600009,100008370081,1000006000009,10000033772089,

%U 100000380000361,1000000025191729,10000001400000049,100000000621806289,1000000014000000049,10000000055856073561

%N a(n) is the smallest n-digit number with 3 divisors.

%F a(n) = A131581(n-1)^2.

%t Table[Prime[1 + PrimePi[Sqrt[10^n]]]^2, {n, 0, 25}] (* _T. D. Noe_, Aug 19 2011 *)

%o (Python)

%o from math import sqrt

%o from sympy import nextprime

%o def a(n): return nextprime(int(sqrt(10**n+1)))**2

%o print([a(n) for n in range(20)]) # _Michael S. Branicky_, Apr 25 2021

%Y Cf. A131581, A132153, A136582, A175734.

%K nonn,base

%O 1,1

%A _Jaroslav Krizek_, Aug 24 2010

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Last modified May 22 06:48 EDT 2024. Contains 372743 sequences. (Running on oeis4.)