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%I #18 Apr 03 2023 10:36:10
%S 10007,19980,29953,39926,49899,59872,69845,79818,89791,99764,109737,
%T 119710,129683,139656,149629,159602,169575,179548,189521,199494,
%U 209467,219440,229413,239386,249359,259332,269305,279278,289251,299224,309197
%N a(n) = 9973*n + 10007.
%C 9973 is the largest four-digit prime and 10007 is the smallest five-digit prime.
%H Vincenzo Librandi, <a href="/A101442/b101442.txt">Table of n, a(n) for n = 0..10000</a>
%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>
%H Chris Caldwell, <a href="https://t5k.org/lists/small/100000.txt">The first 100,008 primes</a>.
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%e If n=14, then 9973*14 + 10007 = 149629 (a prime).
%t 9973*Range[0,30]+10007 (* or *) LinearRecurrence[{2,-1},{10007,19980},40] (* _Harvey P. Dale_, Sep 02 2015 *)
%o (Magma) [9973*n + 10007: n in [0..50]]; // _Vincenzo Librandi_, Jul 14 2011
%o (PARI) a(n)=9973*n+10007 \\ _Charles R Greathouse IV_, Oct 16 2015
%Y Cf. A017029, A100775, A100776, A101444.
%K nonn,easy
%O 0,1
%A _Parthasarathy Nambi_, Jan 18 2005
%E Extended by _Ray Chandler_, Jan 25 2005
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