What has more relative ontological primacy, man or math?

Does math depend on man to exist, or does math exist independently of man?

Premise 1: If the set of natural numbers has ontological primacy, then math has ontological primacy.

Premise 2: There is no largest number.

Conclusion: Math has ontological primacy.

Why:

If numbers depended on mankind to exist, there would be a largest number.

Premise 2 then implies that numbers do not depend on mankind to exist.

By Premise 1, math has ontological primacy.