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Integers n such that for all i > n the largest prime factor of i*(i+1) exceeds the largest prime factor of n*(n+1).
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%I #41 Apr 23 2018 02:44:54

%S 1,8,80,4374,9800,123200,336140,11859210,177182720,1611308699,

%T 3463199999,63927525375,421138799639,1109496723125,1453579866024,

%U 20628591204480,31887350832896,119089041053696,2286831727304144,9591468737351909375,19316158377073923834000

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

%H Andrey V. Kulsha, <a href="/A193943/b193943.txt">Table of n, a(n) for n = 1..23</a>

%H liangbch, <a href="https://bbs.emath.ac.cn/thread-4652-1-1.html">consecutive pairs of smooth numbers</a>, Blog.

%Y Cf. A002072, A145606, A193944.

%K nonn

%O 1,2

%A _Andrey V. Kulsha_, Aug 11 2011, according to Jim White's computations.

%E Corrected 23rd term in b-file (see Blog link), _Andrey V. Kulsha_, Dec 22 2014

%E a(20) and a(21) added (from b-file) by _Jon E. Schoenfield_, Apr 22 2018