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.

A202101 Numbers k such that 90*k + 59 is prime.

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%I A202101 #17 Feb 17 2025 02:26:45
%S A202101 0,1,2,4,5,6,11,13,14,15,16,21,22,23,25,26,28,32,34,35,36,37,40,43,44,
%T A202101 47,51,54,55,56,57,58,62,67,69,70,71,74,76,78,81,83,89,93,95,96,99,
%U A202101 100,102,104,107,112,116,117,120,121,126,127,128,132,134,138
%N A202101 Numbers k such that 90*k + 59 is prime.
%C A202101 This sequence was generated by adding 12 Fibonacci-like sequences [see: PROG]. Looking at 90*n+59 modulo 9 and modulo 10 we see that all entries of A142319 have digital root 5 and last digit 9. (Reverting the process is an application of the Chinese remainder theorem)
%t A202101 Select[Range[0, 200], PrimeQ[90 # + 59] &]
%o A202101 (PARI) is(n)=isprime(90*n+59) \\ _Charles R Greathouse IV_, Feb 17 2017
%Y A202101 Cf. A181732, A198382, A195993, A196000, A196007, A201739, A201734, A201804, A201816, A201817, A201818, A201820, A201822.
%K A202101 nonn,easy
%O A202101 1,3
%A A202101 _J. W. Helkenberg_, Dec 11 2011