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Numbers k such that 97*k - 11 is prime.
1

%I #22 Sep 08 2022 08:45:18

%S 6,12,46,54,64,70,90,100,102,106,112,114,126,142,156,166,172,180,184,

%T 196,202,204,210,214,222,226,240,250,256,306,310,312,322,340,354,366,

%U 370,372,406,412,424,432,436,442,454,456,466,480,492,510,532,534,540

%N Numbers k such that 97*k - 11 is prime.

%C 11 and 97 are the smallest and largest of two-digit primes.

%H Daniel Starodubtsev, <a href="/A106692/b106692.txt">Table of n, a(n) for n = 1..10000</a>

%e If k=6, then 97*k - 11 = 571 (prime).

%e If k=106, then 97*k - 11 = 10271 (prime).

%t Select[Range[600],PrimeQ[97#-11]&] (* _Harvey P. Dale_, May 18 2021 *)

%o (Magma) [n: n in [1..100000] | IsPrime(97*n - 11)]; // _Vincenzo Librandi_, Nov 13 2010

%o (PARI) is(n)=isprime(97*n-11) \\ _Charles R Greathouse IV_, Jun 13 2017

%Y Cf. A105773, A105775.

%K nonn,easy

%O 1,1

%A _Parthasarathy Nambi_, May 13 2005