Is the quest for series of numbers with what essentially is the property of having extraordinarily low factors a Critical Theoretical Question, of is it in the nature of finding very interesting, dare I say "merely" very interesting, facts?

--- In primenumbers@yahoogroups.com, "Jens Kruse Andersen" <jens.k.a@...> wrote:

>

> Andrey Kulsha wrote:

> > The case of two consecutive integers was already studied

> > (Sloane's A002072, A145605), but there are little information

> > about larger chains. It there any interesting results known?

>

> There are some computational results for 3 and 4 integers in

> http://www.mersenneforum.org/showthread.php?t=5647

>

> It resulted in http://oeis.org/A122464 about trios.

> Fred Schneider found:

> 1348770149848002 = 2 * 3 * 7 * 23 * 41 * 61^2 * 149 * 239 * 257

> 1348770149848001 = 19^3 * 89 * 103 * 229 * 283 * 331

> 1348770149848000 = 2^6 * 5^3 * 11 * 29 * 109 * 151 * 163 * 197

>

> --

> Jens Kruse Andersen

>