A329578 First of three consecutive primes with common gap 48.

3565931, 3653863, 3985903, 5425613, 5647361, 6126971, 6292081, 6532553, 7133983, 7360363, 7389493, 7700131, 7865833, 7956163, 8467903, 8708291, 8972701, 9203743, 9603361, 9863551, 10279813, 10971743, 11998391, 12225251, 12474251, 12620843, 12966881, 13288211, 13376261, 13543451

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

OEIS Wiki, Consecutive primes in arithmetic progression, updated Jan. 2020.

Mathematica

Select[Partition[Prime[Range[900000]], 3, 1], Differences[#]=={48, 48}&] [[All, 1]] (* Harvey P. Dale, Aug 23 2021 *)

Prog

(PARI) vecextract( A134123, select(t->t==48, A134123[^1]-A134123[^-1], 1)) \\ Terms of A134123 with indices corresponding to first differences of 48: gives a(1..56) from A134123(1..10^4).
(Magma) [p:p in PrimesUpTo(14000000)| NextPrime(p)-p eq 48 and NextPrime(p+48)-p eq 96]; // Marius A. Burtea, Jan 03 2020

Crossrefs

Subsequence of A134123 (first of two primes with common gap 48).

A067388 (first of four primes with common gap 48) is a subsequence.

Cf. A047948, A052188, A052189, A052190, A052195, A052197, A052198, A089234 (analog for gaps 2, 4, 6, 12, 18, 24, ..., 60).

Sequence in context: A209857 A107349 A198167 * A053078 A209911 A235077

Adjacent sequences: A329575 A329576 A329577 * A329579 A329580 A329581

Keyword

nonn,changed

Author

M. F. Hasler, Jan 02 2020

Status

approved