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A329578
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First of three consecutive primes with common gap 48.
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1
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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
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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Select[Partition[Prime[Range[900000]], 3, 1], Differences[#]=={48, 48}&] [[All, 1]] (* Harvey P. Dale, Aug 23 2021 *)
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PROG
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(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
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CROSSREFS
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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).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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