Are you sure about the first rule? It doesn't seem necessary according to https://oeis.org/A014575.
The problem is really fun.
Since I created the problem series and want the Functions I badge, I thought I'd provide the solution that incorporates vampire_factor and are_fangs. Not a great score, but readable!
Sorry, I mean the Magic Numbers badge.
Numbers with prime factors 2, 3 and 5.
Implement simple rotation cypher
Are all the three given point in the same line?
Find the nearest integer
Is this triangle right-angled?
Multivariate polynomials - emulate symbolic form
Fangs of a vampire number
Outer product of multiple vectors
Multivariate polynomials - convert monomial form to array
Negation the hard way
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