_Andrey V. Kulsha (andrey_601(AT)tut.by), _, Mar 14 2012

OEIS Server: https://oeis.org/edit/global/668

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Integers mn such that for all i > mn the largest prime factor of Product[product(i+k, {k,0,15}] }) exceeds the largest prime factor of Product[mproduct(n+k, {k,0,15}].}).

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Andrey V. Kulsha, <a href="/A209839/b209839.txt">Table of n, a(n) for n = 1..80</a>

allocatedIntegers m such that for all i > m the largest prime factor of Product[i+k, {k,0,15}] exceeds the largest prime factor Andreyof V. KulshaProduct[m+k, {k,0,15}].

1, 3, 7, 13, 15, 21, 25, 27, 31, 37, 43, 45, 51, 55, 57, 63, 67, 73, 81, 85, 87, 91, 93, 97, 111, 115, 121, 123, 133, 135, 141, 147, 151, 157, 163, 165, 175, 177, 181, 183, 195, 207, 211, 213, 217, 223, 225, 235, 241, 247, 253, 1330, 1383, 4179, 4180, 4181, 5243, 12985, 48506, 87161, 211750

1,2

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

Cf. A209838.

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nonn

Andrey V. Kulsha (andrey_601(AT)tut.by), Mar 14 2012

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allocated for Andrey V. Kulsha

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