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A329578 First of three consecutive primes with common gap 48. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
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
Cf. A134123, A067388: first of two, resp. four primes with common gap 48.
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
KEYWORD
nonn
AUTHOR
M. F. Hasler, Jan 02 2020
STATUS
approved

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Last modified March 28 07:48 EDT 2024. Contains 371235 sequences. (Running on oeis4.)