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

1,1

Comments

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

Links

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Subsequence of A134117.

Cf. A001223, A033451, A047948, A052195.

Sequence in context: A087025 A249915 A161534 * A053076 A083604 A236600

Adjacent sequences: A052194 A052195 A052196 * A052198 A052199 A052200

Keyword

nonn,changed

Author

Labos Elemer, Jan 28 2000

Extensions

New name from Charles R Greathouse IV, Jan 07 2013

Status

approved