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Nov 18, 2019 at 19:50 vote accept Mark Fischler
Nov 15, 2019 at 1:11 comment added Gerry Myerson More references are at oeis.org/A221286
Nov 15, 2019 at 1:07 comment added Gerry Myerson M Vsemirnov, A new Fibonacci-like sequence of composite numbers, Journal of Integer Sequences, Vol. 7 (2004), Article 04.3.7, gets a smaller counterexample, $x_1=106276436867$, $x_2=35256392432$. This paper is available via cs.uwaterloo.ca/journals/JIS/VOL7/Vsemirnov/vsem5.html
Nov 15, 2019 at 0:59 comment added Gerry Myerson John W Nicol, A Fibonacci-like sequence of composite numbers, Elec. J. Combinatorics 6 (1999) R44, is available at combinatorics.org/ojs/index.php/eljc/article/view/v6i1r44
Nov 15, 2019 at 0:50 history answered JoshuaZ CC BY-SA 4.0