A193945 - OEIS

A193945

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

1, 3, 7, 9, 63, 168, 322, 1518, 1680, 10878, 17575, 70224, 97524, 224846, 612360, 15473807, 61011223, 108384553, 137308589, 999208250, 1497820158, 22377473780, 238092971076, 316419292600, 23931257472314

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Heuristics show that these terms are valid, but a strict proof is yet to be done.

a(1)-a(11) verified via Størmer's theorem. - Charles R Greathouse IV, Feb 19 2013

LINKS

Andrey V. Kulsha, Table of n, a(n) for n = 1..25

CROSSREFS

Cf. A003033, A193944, A193946, A145605.

Sequence in context: A115164 A088801 A003033 * A087147 A363572 A337613

Adjacent sequences: A193942 A193943 A193944 * A193946 A193947 A193948

KEYWORD

nonn

AUTHOR

Andrey V. Kulsha, Aug 10 2011

STATUS

approved