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

82619, 218527, 235811, 265579, 302399, 435661, 594427, 661327, 1007759, 1015499, 1058479, 1134169, 1253047, 1452149, 1492969, 1522799, 1593167, 1593401, 1818293, 1876829, 2007883, 2126429, 2303701, 2341033, 2341643, 2366123, 2433317, 2438629, 2539049, 2547647

Offset

1,1

Comments

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

Links

Zak Seidov, Table of n, a(n) for n = 1..1000

Example

a(1) = 82619 because prime(7569) + ... + prime(8568) = 77017 + ... + 88379 = 82619000.

Crossrefs

Cf. A123078.

Sequence in context: A262794 A230786 A253937 * A010093 A046381 A237330

Adjacent sequences: A218184 A218185 A218186 * A218188 A218189 A218190

Keyword

nonn

Author

Zak Seidov, Oct 23 2012

Status

approved