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

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

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