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May 12, 2022 at 7:16 vote accept M.H.Hooshmand
May 12, 2022 at 4:49 comment added M.H.Hooshmand @-Thomas Bloom. Thanks again. So we can say $N\leq s$. Any idea for the exact value of $N$?
May 11, 2022 at 9:43 comment added Thomas Bloom I meant $A_{s+1}=\mathbb{Z}$ above.
May 11, 2022 at 9:20 comment added Thomas Bloom (b) is still true by Waring's problem - there is some s such that every positive integer is the sum of s kth powers, so certainly A_(k+1) =Z.
May 11, 2022 at 9:11 answer added Glorfindel timeline score: 2
May 11, 2022 at 7:45 history edited M.H.Hooshmand CC BY-SA 4.0
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May 11, 2022 at 7:39 comment added M.H.Hooshmand Thus, let me to replace it by another question.
May 11, 2022 at 7:29 comment added M.H.Hooshmand @-Thomas Bloom. Oh yes, right, easy to prove!. Thanks.
May 10, 2022 at 23:38 comment added Thomas Bloom If I understand the notation correctly, then when $A=\{m^2: m\in \mathbb{Z}\}$ then $A_1$ contains all odd integers so $A_2=\mathbb{Z}=A_3$.
May 10, 2022 at 19:15 history asked M.H.Hooshmand CC BY-SA 4.0