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Dec 8 at 17:01 comment added Russ Woodroofe A possibly interesting variant of the question: Given an arbitrary infinite set of primes P, is there some N, so that for every n > N, A_n is generated by two elements with orders in P?
Nov 28 at 16:27 comment added Emil Jeřábek There is no need to use the PNT; such a prime $p$ exists for every $n>7$ by Bertrand’s postulate. I’m pretty sure the authors intended to read it this way, and it’s the whole reason for the assumption $n>7$.
Nov 28 at 15:35 vote accept Lucas
Nov 28 at 15:12 comment added Alexei Entin Yes, I posted an answer.
Nov 28 at 14:48 answer added Alexei Entin timeline score: 5
Nov 28 at 14:32 comment added Lucas Invariably generators would be great, but I mean just generators. Do you know some argument to explain it (in the former case)?
Nov 28 at 14:21 comment added Alexei Entin In the question do you mean generates or invariably generates? The answer is positive in the former case and probably negative in the latter.
Nov 28 at 13:48 history asked Lucas CC BY-SA 4.0