%I #18 Jan 24 2020 16:22:27
%S 0,14,32,42,48,98,104,108,120,122,132,180,204,210,224,228,230,264,278,
%T 300,302,308,318,342,344,348,350,374,384,402,410,414,428,438,444,462,
%U 470,500,522,540,564,602,614,638,644,672,678,692,698,714,720,740,782
%N Numbers k such that (9973*k + 10007) is a prime.
%C Note that 9973 is the largest four-digit prime and 10007 is the smallest five-digit prime.
%H Daniel Starodubtsev, <a href="/A101444/b101444.txt">Table of n, a(n) for n = 1..10000</a>
%e If k=14 then 9973*14 + 10007 = 149629 (prime).
%e If k=32 then 9973*32 + 10007 = 329143 (prime).
%e If k=42 then 9973*42 + 10007 = 428873 (prime).
%t Select[ Range[ 0, 791], PrimeQ[9973# + 10007]&] (* _Robert G. Wilson v_, Jan 20 2005 *)
%Y Cf. A101123, A101084, A101086, A101442.
%K nonn
%O 1,2
%A _Parthasarathy Nambi_, Jan 18 2005
%E Extended by _Lior Manor_, _Ray Chandler_ and _Robert G. Wilson v_, Jan 20 2005
|