A067388 Initial prime in set of 4 consecutive primes with common gap 48.

55410683, 102291263, 141430363, 226383163, 280064453, 457433213, 531290533, 542418463, 555695713, 582949903, 629444003, 664652203, 665813153, 777809113, 802919653, 852404053, 887653633, 894328243, 898734673, 979048313, 993517643

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..1000 (terms 1..102 from Zak Seidov)

Index entries for sequences related to primes in arithmetic progressions

Mathematica

Transpose[Select[Partition[Prime[Range[10000000]], 4, 1], Union[Differences[#]]=={48}&]][[1]] (* Vincenzo Librandi, Jun 21 2015 *)

Prog

(Python)
from sympy import isprime, nextprime
A067388_list, p = [], 2
q, r, s = p+48, p+96, p+144
while s <= 10**10:
    np = nextprime(p)
    if np == q and isprime(r) and isprime(s) and nextprime(q) == r and nextprime(r) == s:
        A067388_list.append(p)
    p, q, r, s = np, np+48, np+96, np+144 # Chai Wah Wu, Jun 01 2017

Crossrefs

Analogous sequences (with differences in square brackets): A033451[6], A033447[12], A033448[18], A052242[24], A052243[30], A058252[36], A058323[42], this sequence[48].

Sequence in context: A345719 A346360 A234794 * A251380 A269476 A234759

Adjacent sequences: A067385 A067386 A067387 * A067389 A067390 A067391

Keyword

nonn

Author

Labos Elemer, Jan 21 2002

Extensions

a(7)-a(21) from Donovan Johnson, Sep 05 2008

Status

approved