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.

A105583 Numbers k such that 101*k + 997 is prime.

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%I A105583 #31 Aug 17 2024 16:07:33
%S A105583 0,14,26,30,32,44,50,54,56,60,72,92,102,110,114,116,126,140,144,152,
%T A105583 162,176,182,192,204,206,212,234,240,242,252,296,320,324,326,330,360,
%U A105583 366,372,386,390,396,404,410,416,444,450,452,462,474,480,494,506,512,516
%N A105583 Numbers k such that 101*k + 997 is prime.
%C A105583 101 and 997 are the smallest and largest three-digit primes.
%H A105583 Daniel Starodubtsev, <a href="/A105583/b105583.txt">Table of n, a(n) for n = 1..10000</a>
%e A105583 If k=0, then 101*k + 997 = 997 (prime).
%e A105583 If k=110, then 101*k + 997 = 12107 (prime).
%t A105583 Select[Range[520],PrimeQ[101#+997]&] (* _Stefano Spezia_, Aug 02 2024 *)
%o A105583 (Magma) [n: n in [0..100000] | IsPrime(101*n + 997)]; // _Vincenzo Librandi_, Nov 13 2010
%o A105583 (PARI) is(n)=isprime(101*n+997) \\ _Charles R Greathouse IV_, Jun 06 2017
%Y A105583 Cf. A105679.
%K A105583 nonn,easy
%O A105583 1,2
%A A105583 _Parthasarathy Nambi_, May 06 2005