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A252797 Largest of n consecutive integers whose product is divisible by at least n distinct prime factors. 2

%I

%S 2,3,5,7,11,14,17,23,34,38,39,47,62,69,71,94,95,118,124,164,186,193,

%T 194,219,223,236,237,284,318,415,423,424,433,454,548,549,566,689,795,

%U 796,797,802,803,804,829,830,831,1182,1273,1285,1286,1424,1433,1434,1655

%N Largest of n consecutive integers whose product is divisible by at least n distinct prime factors.

%C a(n) <= A002110(n).

%C a(n) - n + 1 = A252796(n).

%H Lior Manor, <a href="/A252797/b252797.txt">Table of n, a(n) for n = 1..199</a>

%e a(5) = 11, since the product of the 5 consecutive integers 7..11 is divisible by 5 distinct prime factors, and no smaller set of 5 such consecutive integers exists.

%Y Cf. A002110, A252796.

%K nonn

%O 1,1

%A _Lior Manor_, Dec 22 2014

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Last modified August 10 04:38 EDT 2020. Contains 336368 sequences. (Running on oeis4.)