Number Choosing Contest.

passes format rules, interesting
100 + 21
100 + 19
91 + 6x, where x = 5.

Oh, fun times.

121: breaks 3 V
119: breaks 5 U V
121: breaks 3 V

The Glaisher–Kinkelin constant A

Breaks all number rules, passes format rules.

Graham's number

Come on.

Rules 1, 2, 3, 5 inconclusive. Effective failure.
Passes rule 4 and format rules.
Counts as no-pass. Success must be certain.