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A252797 Largest of n consecutive integers whose product is divisible by at least n distinct prime factors. 2
2, 3, 5, 7, 11, 14, 17, 23, 34, 38, 39, 47, 62, 69, 71, 94, 95, 118, 124, 164, 186, 193, 194, 219, 223, 236, 237, 284, 318, 415, 423, 424, 433, 454, 548, 549, 566, 689, 795, 796, 797, 802, 803, 804, 829, 830, 831, 1182, 1273, 1285, 1286, 1424, 1433, 1434, 1655 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) <= A002110(n).

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

LINKS

Lior Manor, Table of n, a(n) for n = 1..199

EXAMPLE

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.

CROSSREFS

Cf. A002110, A252796.

Sequence in context: A289863 A260904 A245808 * A325333 A036608 A309097

Adjacent sequences:  A252794 A252795 A252796 * A252798 A252799 A252800

KEYWORD

nonn

AUTHOR

Lior Manor, Dec 22 2014

STATUS

approved

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Last modified July 9 14:56 EDT 2020. Contains 335543 sequences. (Running on oeis4.)