First-year graduate student finds paradoxical set

Erdős problems definitely "have an uncanny knack for unearthing connections between supposedly unrelated branches of math..". Here's the full list of about a dozen unsolved conjectures https://en.wikipedia.org/wiki/List_of_conjectures_by_Paul_Er...

Is there a concrete copy of at least the low numbers in the set, given that it has been found?

Fascinating