A052198 Primes p such that p, p+42, p+84 are consecutive primes.

247099, 689467, 1008617, 1629767, 1658627, 2024647, 2750999, 2811719, 2880907, 2921777, 3264449, 3295027, 3311317, 3365449, 3555269, 3668419, 4059229, 4412099, 4440529, 4549309, 4619357, 4690219, 4802947, 4955179, 5115259

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)=42.

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..2000 from Zak Seidov)

Crossrefs

Cf. A001223, A033451, A047948, A052197.

Programs

Mathematica

Select[Partition[Prime[Range[400000]],3,1],Differences[#]=={42,42}&][[All,1]] (* Harvey P. Dale, May 28 2017 *)

PARI

is_A052198(n)=nextprime(n+1)==n+42 && nextprime(n+43)==n+84 && isprime(n) \\ Charles R Greathouse IV, Jan 07 2013, typo corrected by M. F. Hasler, Jan 13 2013

Extensions

New name from Charles R Greathouse IV, Jan 07 2013