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At the moment I'm minded to keep this as open, and add the gcd condition in the main statement, and note in the remarks that the easier (?) version allowing 1 and omitting the gcd condition, which was also asked independently by Erdős, has been solved.
21 sats \ 1 reply \ @adlai 7h
source the quote, please...
edit: the reply to this comment has the anchored link, although I was hoping more for something along these lines:
Thomas Bloom, Research Fellow at the University of Manchester.
Creator and maintainer of [erdosproblems.com]
should have made my complaint more specific!