A193948 Integers n such that for all i > n the largest prime factor of i(i+1)(i+2)(i+3)(i+4)(i+5)(i+6) exceeds the largest prime factor of n(n+1)(n+2)(n+3)(n+4)(n+5)(n+6).

4, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 184, 527, 4896, 11658, 12874, 18904, 41919, 45998, 48504, 50688, 51982, 356207, 426851, 960750, 1961725, 4604094, 8418495, 10811745, 32963628, 45249999, 569800611, 7374557947, 121153257533

Offset

1,1

Comments

Currently terms through a(16) = 12874 have been proved to be correct, while remaining terms are conjectural. Stormer's theorem (see link) provides an approach to proving their correctness. Such an approach should be easy for the first few terms. - Franklin T. Adams-Watters, Nov 07 2011

Links

Andrey V. Kulsha, Table of n, a(n) for n = 1..39

Wikipedia, Stormer's theorem

Crossrefs

Cf. A145606, A193947, A199407.

Sequence in context: A089079 A310579 A242877 * A292794 A108724 A243864

Adjacent sequences: A193945 A193946 A193947 * A193949 A193950 A193951

Keyword

nonn

Author

Andrey V. Kulsha, Aug 10 2011

Status

approved