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Smallest integer m such that the product of every 3 consecutive integers > m has a prime factor > prime(n).
(Formerly M1875)
3

%I M1875 #30 Jan 31 2022 01:12:49

%S 2,8,48,98,350,440,2430,2430,13310,13454,17575,212380,212380,212380,

%T 1205644,1205644,1205644,2018978,3939648,3939648,15473808,15473808,

%U 407498958,407498958,407498958,138982582998,138982582998,138982582998,138982582998

%N Smallest integer m such that the product of every 3 consecutive integers > m has a prime factor > prime(n).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H E. F. Ecklund and R. B. Eggleton, <a href="http://www.jstor.org/stable/2317422">Prime factors of consecutive integers</a>, Amer. Math. Monthly, 79 (1972), 1082-1089.

%K nonn,nice

%O 2,1

%A _N. J. A. Sloane_

%E More terms from _David W. Wilson_

%E Corrected by _Andrey V. Kulsha_, Aug 08 2011