20181213, 14:46  #1 
Jul 2014
1BF_{16} Posts 
common difference 0
Does anyone know if
a sequence with just one positive integer (repeated ad infinitum) is an arithmetic progression or similarly a sequence of finite length containing just one positive integer is an arithmetic progression? I'm thinking about https://en.wikipedia.org/wiki/Erd%C5...c_progressions and it looks like a significant part of the problem. 
20181213, 15:15  #2  
Sep 2002
Database er0rr
2^{2}×859 Posts 
Quote:
Last fiddled with by paulunderwood on 20181213 at 15:16 

20181213, 16:15  #3 
"Robert Gerbicz"
Oct 2005
Hungary
1409_{10} Posts 
In the conjecture A is a set, so you can't use the same number multiple times. But you can ask the same conjecture for multiset, however that would be an equivalent problem (both of them are true, or false).

20181213, 16:41  #4 
Jul 2014
3×149 Posts 
Thanks very much.

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