A052197 Primes p such that p, p+36, p+72 are consecutive primes.

255767, 704321, 806821, 884501, 913067, 1065137, 1216177, 1448497, 1526191, 1532471, 1640971, 1918571, 2071087, 2275067, 2276431, 2336671, 2347591, 2376721, 2778547, 3098561, 3190601, 3248941, 3259001, 3452107, 3558481

Offset: 1

Author

Labos Elemer, Jan 28 2000

Keywords

• nonn

Comments

Old name was: Primes p(k) such that p(k+2)-p(k+1)=p(k+1)-p(k)=36.

Examples

			a(3) = 704321 is followed by 704357 and 704393, consecutive primes with equal distance of d = 36.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..3000 from Zak Seidov)

Crossrefs

Subsequence of A134117.

Cf. A001223, A033451, A047948, A052195.

Programs

Mathematica

Select[Partition[Prime[Range[255000]],3,1],Differences[#]=={36,36}&][[All,1]] (* Harvey P. Dale, Feb 16 2018 *)

PARI

is(n)=nextprime(n+1)==n+36 && nextprime(n+37)==n+72 && isprime(n) \\ Charles R Greathouse IV, Jan 07 2013

Extensions

New name from Charles R Greathouse IV, Jan 07 2013