A193946 -id:A193946 - cp's OEIS frontend

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

Offset: 1

Andrey V. Kulsha, Aug 10 2011

nonn

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

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

Cf. A003033, A193944, A193946, A145605.

A193947 Integers n such that for all i > n the largest prime factor of i(i+1)(i+2)(i+3)(i+4)(i+5) exceeds the largest prime factor of n(n+1)(n+2)(n+3)(n+4)(n+5).

Original entry on oeis.org

1, 5, 7, 11, 13, 17, 23, 25, 31, 35, 285, 340, 528, 1271, 3476, 4897, 7564, 11659, 16683, 18421, 28032, 44250, 52323, 61100, 99381, 3294850, 5529832, 13423043, 149035259, 255792095, 528338092, 2020271859, 18069513341, 74079238792

Offset: 1

Andrey V. Kulsha, Aug 10 2011

nonn

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

Andrey V. Kulsha, Table of n, a(n) for n = 1..36

Cf. A193946, A193948.

cp's OEIS Frontend

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).

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