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Integers n such that for all i > n the largest prime factor of i(i+1)(i+2)(i+3) exceeds the largest prime factor of n(n+1)(n+2)(n+3).
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%I #24 Feb 19 2013 04:25:14

%S 1,3,7,9,63,168,322,1518,1680,10878,17575,70224,97524,224846,612360,

%T 15473807,61011223,108384553,137308589,999208250,1497820158,

%U 22377473780,238092971076,316419292600,23931257472314

%N Integers n such that for all i > n the largest prime factor of i(i+1)(i+2)(i+3) exceeds the largest prime factor of n(n+1)(n+2)(n+3).

%C Heuristics show that these terms are valid, but a strict proof is yet to be done.

%C a(1)-a(11) verified via Størmer's theorem. - _Charles R Greathouse IV_, Feb 19 2013

%H Andrey V. Kulsha, <a href="/A193945/b193945.txt">Table of n, a(n) for n = 1..25</a>

%Y Cf. A003033, A193944, A193946, A145605.

%K nonn

%O 1,2

%A _Andrey V. Kulsha_, Aug 10 2011