[seqfan] A187824: a(n) is the largest m such that n is congruent to -1, 0 or 1 mod k for all k from 1 to m.

[Neil Sloane]

A187824 was submitted recently, and seems quite interesting.
There are several questions: is it unbounded? (cf. A056697, A220891)
If so does it take every value? (cf. A220890)
The answer to both is probably Yes.
Neil