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.

A268612 Primes p such that p + 2 k, for k = 1..7 are squarefree.

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%I A268612 #22 Oct 19 2022 10:28:18
%S A268612 29,83,101,191,227,389,443,479,587,641,659,677,983,1091,1109,1289,
%T A268612 1307,1451,1487,2027,2081,2153,2243,2333,2351,2441,2459,2477,2549,
%U A268612 2657,2729,2837,2909,2927,2999,3089,3251,3359,3449,3557,3593,4007
%N A268612 Primes p such that p + 2 k, for k = 1..7 are squarefree.
%C A268612 Eight consecutive odd numbers starting with p are squarefree.
%C A268612 This is the longest set as p+16 in all cases is divisible by 9.
%C A268612 All terms are congruent to 11 mod 18.
%H A268612 Zak Seidov, <a href="/A268612/b268612.txt">Table of n, a(n) for n = 1..1592</a>
%t A268612 Select[Prime[Range[600]],AllTrue[#+2*Range[7],SquareFreeQ]&] (* _Harvey P. Dale_, Oct 19 2022 *)
%o A268612 (Magma) [p: p in PrimesUpTo(4500) | forall{k: k in [1..7] | IsSquarefree(p+2*k)}]; // _Vincenzo Librandi_, Feb 09 2016
%Y A268612 Cf. A049097, A049233.
%K A268612 nonn
%O A268612 1,1
%A A268612 _Zak Seidov_, Feb 08 2016