cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A201739 Numbers n such that 90*n + 29 is prime.

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%I A201739 #19 Sep 08 2022 08:46:01
%S A201739 0,4,5,6,7,9,10,11,12,14,17,23,27,28,30,31,32,33,34,37,38,39,41,44,45,
%T A201739 47,48,53,54,61,65,70,73,74,75,76,77,80,83,84,88,89,91,96,98,100,102,
%U A201739 105,108,109,110,114,117,119,125,126,128,132,136,139,142,143
%N A201739 Numbers n such that 90*n + 29 is prime.
%C A201739 This sequence was generated by adding 12 Fibonacci-like sequences. Looking at the format 90n+29 modulo 9 and modulo 10 we see that all entries of A142327 have digital root 2 and last digit 9. (Reverting the process is an application of the Chinese remainder theorem.)
%H A201739 Vincenzo Librandi, <a href="/A201739/b201739.txt">Table of n, a(n) for n = 1..10000</a>
%F A201739 a(n) = (A142327(n) - 29)/90.
%p A201739 for n from 0 to 240 do
%p A201739     p := 90*n+29 ;
%p A201739     if isprime(p) then
%p A201739         printf("%d,",n) ;
%p A201739     end if;
%p A201739 end do: # _R. J. Mathar_, Dec 05 2011
%t A201739 Select[Range[0,400],PrimeQ[90 #+29]&] (* _Vincenzo Librandi_, Dec 11 2011 *)
%o A201739 (PARI) forstep(n=29,1e4,90,if(isprime(n),print1(n\90", "))) \\ _Charles R Greathouse IV_, Dec 05 2011
%o A201739 (Magma) [n: n in [0..200] | IsPrime(90*n+29)]; // _Vincenzo Librandi_, Dec 11 2011
%Y A201739 Cf. A181732, A198382, A195993, A196000, A196007, A201734.
%K A201739 nonn,easy
%O A201739 1,2
%A A201739 _J. W. Helkenberg_, Dec 04 2011