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Numbers k such that 41*k + 43 is prime.
1

%I #18 Jun 11 2024 00:04:01

%S 0,14,20,26,38,44,48,56,60,66,80,90,116,126,138,140,146,158,170,174,

%T 186,198,200,224,228,230,236,240,248,254,264,266,270,290,294,300,306,

%U 308,314,320,324,338,354,356,368,374,378,384,390,398,404,416,426,434,446

%N Numbers k such that 41*k + 43 is prime.

%H Harvey P. Dale, <a href="/A108874/b108874.txt">Table of n, a(n) for n = 1..1000</a>

%e If k=0 then 41*k + 43 = 43 (prime).

%e If k=90 then 41*k + 43 = 3733 (prime).

%t Select[Range[0,500],PrimeQ[41#+43]&] (* _Harvey P. Dale_, May 09 2012 *)

%o (Magma) [n: n in [0..500] | IsPrime(41*n+43)]; - _Vincenzo Librandi_, Nov 13 2010

%o (PARI) is(n)=isprime(41*n+43) \\ _Charles R Greathouse IV_, Jun 12 2017

%K nonn,easy

%O 1,2

%A _Parthasarathy Nambi_, Jul 30 2005