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%I M2617 #29 Jan 23 2015 02:37:39
%S 3,7,9,63,63,168,322,322,1518,1518,1680,10878,17575,17575,17575,17575,
%T 17575,17575,70224,70224,97524,97524,97524,97524,224846,224846,612360,
%U 612360,15473807,15473807,15473807,15473807,15473807,15473807,15473807,61011223
%N Smallest integer m such that the product of every 4 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.
%e a(3) = 3 since none of (3, 4, 5, 6) are divisible by a prime greater than prime(3) = 5 but any larger sequence of four consecutive integers is divisible by 7 or a larger prime. [_Charles R Greathouse IV_, Aug 02 2011]
%K nonn
%O 3,1
%A _N. J. A. Sloane_, _Robert G. Wilson v_
%E Corrected and extended by _Andrey V. Kulsha_, Aug 01 2011
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