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A105106 Numbers k such that the string k101 is prime. 4

%I #21 Jul 08 2021 03:10:28

%S 0,5,6,8,12,15,20,21,29,42,44,50,53,54,56,60,65,72,74,77,78,81,83,89,

%T 95,98,102,107,116,117,119,125,131,135,138,141,149,170,174,177,182,

%U 194,197,201,204,210,221,224,230,240,242,243,252,258,261,263,264,282,285,291

%N Numbers k such that the string k101 is prime.

%C Also numbers k such that 1000*k + 101 is prime. - _Stefan Steinerberger_, Feb 21 2006

%H Daniel Starodubtsev, <a href="/A105106/b105106.txt">Table of n, a(n) for n = 1..10000</a>

%e If k=0, then k101 = 0101 (prime).

%e If k=42, then k101 = 42101 (prime).

%p q:= n-> isprime(parse(cat(n, 101))):

%p select(q, [$0..300])[]; # _Alois P. Heinz_, Jan 23 2020

%t For[n = 0, n < 300, n++, If[PrimeQ[1000*n + 101], Print[n]]] (* _Stefan Steinerberger_, Feb 21 2006 *)

%o (PARI) is(n)=isprime(1000*n+101) \\ _Charles R Greathouse IV_, May 22 2017

%K base,nonn

%O 1,2

%A _Parthasarathy Nambi_, Apr 07 2005

%E More terms from _Stefan Steinerberger_, Feb 21 2006

%E Missing a(11)=44 inserted by _Daniel Starodubtsev_, Jan 23 2020

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Last modified June 16 10:55 EDT 2024. Contains 373425 sequences. (Running on oeis4.)