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Numbers k such that 11*k + 101 is prime.
0

%I #21 Oct 01 2024 15:21:39

%S 0,6,10,12,16,28,30,40,42,46,52,58,60,66,76,88,90,100,102,108,118,126,

%T 130,132,136,138,142,160,168,172,180,192,208,210,216,220,222,228,238,

%U 240,250,256,258,268,276,280,282,292,306,310,312,322,328,336,342,346

%N Numbers k such that 11*k + 101 is prime.

%C 11 is the smallest two-digit prime and 101 is the smallest three-digit prime.

%e If k=0, then 11*0 + 101 = 101 (prime).

%e If k=6, then 11*6 + 101 = 167 (prime).

%e If k=60, then 11*60 + 101 = 761 (prime).

%t Select[Range[0, 300], PrimeQ[11# + 101] &] (* _Stefan Steinerberger_, Feb 28 2006 *)

%o (Magma) [n: n in [0..1000] | IsPrime(11*n + 101)]; // _Vincenzo Librandi_, Nov 17 2010

%o (PARI) is(n)=isprime(11*n+101) \\ _Charles R Greathouse IV_, Jun 13 2017

%Y Cf. A101123, A101086.

%K nonn,easy

%O 1,2

%A _Parthasarathy Nambi_, Jan 24 2005

%E More terms from _Stefan Steinerberger_, Feb 28 2006