A053075 Primes p such that p-30, p, p+30 are consecutive primes.

69623, 110681, 134639, 228677, 237821, 250919, 303187, 318949, 396479, 421943, 498301, 507461, 535273, 554347, 629653, 642457, 642487, 668273, 692191, 716033, 729821, 780553, 782611, 790927, 801247, 825161, 829319, 847423, 892321, 902903

Offset

1,1

Comments

Original name: Primes p(k) such that p(k) - p(k-1) = p(k+1) - p(k) = 30.

Links

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

Formula

a(n) = A052195(n) + 30. - Zak Seidov, Dec 21 2012

A052195 = { A124596(n) | A124596(n-1) = A124596(n) - 30 }. - M. F. Hasler, Jan 02 2020

Example

110681 is separated from both the next lower prime and the next higher prime by 30

Mathematica

lst={}; Do[p=Prime[n]; If[p-Prime[n-1] == Prime[n+1]-p == 6*5, AppendTo[lst, p]], {n, 2, 2*8!}]; lst (* Vladimir Joseph Stephan Orlovsky, May 20 2010 *)

Prog

(PARI) is_A053075(n)={precprime(n-1)==n-30&&nextprime(n+1)==n+30&&isprime(n)} \\ M. F. Hasler, Jan 02 2020

Crossrefs

Cf. A052195 (a(n)-30: first of the triplets) and cross-references there.

Subsequence of A124596 (primes followed by gap 30).

Sequence in context: A052195 A089218 A224324 * A154818 A069919 A116502

Adjacent sequences: A053072 A053073 A053074 * A053076 A053077 A053078

Keyword

easy,nonn

Author

Harvey P. Dale, Feb 25 2000

Extensions

Name edited to conform with style sheet and A052195 etc. - M. F. Hasler, Jan 02 2020

Status

approved