cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A384771 Primes p such that p + 8, p + 12, p + 20, p + 24 and p + 32 are also primes.

Original entry on oeis.org

58889, 114749, 185519, 476579, 568979, 904769, 1726919, 4143389, 4413029, 6432599, 7571009, 9848249, 10444859, 12271439, 12338849, 13599689, 14669639, 15136259, 16390799, 17016809, 18453209, 20649809, 22190579, 22581809, 23475359, 24249419, 26979419, 29202059, 30126269, 30869669, 33263039
Offset: 1

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Author

Alexander Yutkin, Jun 09 2025

Keywords

Comments

Initial members of prime sextuples that correspond to the difference pattern [8, 4, 8, 4, 8].

Examples

			p=58889: 58889+8=58897, 58889+12=58901, 58889+20=58909, 58889+24=58913, 58889+32=58921 —> prime sextuple: (58889, 58897, 58901, 58909, 58913, 58921).
		

Crossrefs

Cf. A384298 [4, 8, 4], A384299 [8, 4, 8], A022008 [4, 2, 4, 2, 4].

Programs

  • Mathematica
    Select[Prime[Range[2100000]], AllTrue[#+{8, 12, 20, 24, 32}, PrimeQ]&] (* Stefano Spezia, Jun 09 2025 *)

Formula

a(n) == 29 (mod 30).
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