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The largest prime factor among all composites <= 10^n.
2

%I #8 Jul 21 2014 12:58:18

%S 5,47,499,4999,49999,499979,4999999,49999991,499999993,4999999937,

%T 49999999967,499999999979,4999999999937,49999999999981,

%U 499999999999999,4999999999999997,49999999999999993,499999999999999931,4999999999999999963,49999999999999999951

%N The largest prime factor among all composites <= 10^n.

%C This is the largest single divisor contributing to A136021(n).

%C If 4 concatenated with n-1 nines is prime, it will be the largest factor. This candidate does not work for n=6 because 499999 is not prime.

%H Robert Israel, <a href="/A136023/b136023.txt">Table of n, a(n) for n = 1..501</a>

%e a(3)=499 because it is the largest prime factor of all k<=10^3; the largest k in that interval with this factor is k=2*499 = 998.

%p 5, seq(prevprime(5*10^n),n=1..100); # _Robert Israel_, Jul 21 2014

%Y Cf. A136021, A052369.

%K nonn

%O 1,1

%A _Enoch Haga_, Dec 12 2007

%E Edited and more terms added by _R. J. Mathar_, Apr 17 2009

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Last modified September 22 18:22 EDT 2024. Contains 376133 sequences. (Running on oeis4.)