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.

A218187 Primes that are the arithmetic mean of 1000 consecutive primes.

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%I A218187 #14 Jul 06 2025 11:07:23
%S A218187 82619,218527,235811,265579,302399,435661,594427,661327,1007759,
%T A218187 1015499,1058479,1134169,1253047,1452149,1492969,1522799,1593167,
%U A218187 1593401,1818293,1876829,2007883,2126429,2303701,2341033,2341643,2366123,2433317,2438629,2539049,2547647
%N A218187 Primes that are the arithmetic mean of 1000 consecutive primes.
%C A218187 Subsequence of A123078: a(1) = 82619 = A123078(12), a(2) = 218527 = A123078(30). 302399 is the smallest emirp (A006567) that is the arithmetic mean of 1000 consecutive primes, as 993203 is prime. - _Jonathan Vos Post_, Oct 25 2012
%H A218187 Zak Seidov, <a href="/A218187/b218187.txt">Table of n, a(n) for n = 1..1000</a>
%e A218187 a(1) = 82619 because prime(7569) + ... + prime(8568) = 77017 + ... + 88379 = 82619000.
%t A218187 Select[Mean/@Partition[Prime[Range[400000]],1000,1],PrimeQ] (* _Harvey P. Dale_, Jul 06 2025 *)
%Y A218187 Cf. A123078.
%K A218187 nonn
%O A218187 1,1
%A A218187 _Zak Seidov_, Oct 23 2012