A375964 Semiprime numbers that are sandwiched between products of exactly 4 distinct primes (or tetraprimes).
41614, 51358, 55166, 67066, 97054, 97294, 100834, 101914, 109838, 122758, 126634, 130646, 133286, 148394, 154582, 175594, 180214, 180454, 184666, 197086, 212486, 224258, 226654, 227446, 231386, 242906, 258446, 276394, 284866, 285086, 300182, 305066, 308606, 309506, 317054, 344434, 350206, 352834, 360634, 362594
Offset: 1
Keywords
Examples
41614 = 2 * 20807 (between 41613 = 3*11*13*97 and 41615 = 5*7*29*41). 51358 = 2 * 25679 (between 51357 = 3*17*19*53 and 51359 = 7*11*23*29). 55166 = 2 * 27583 (between 55165 = 5*11*17*59 and 55167 = 3*7*37*71).
Programs
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Mathematica
e[n_] := FactorInteger[n][[;; , 2]]; SequencePosition[e /@ Range[400000], {{1, 1, 1, 1}, {1, 1}, {1, 1, 1, 1}}][[;; , 1]] + 1 (* Amiram Eldar, Sep 04 2024 *)
Formula
a(n) == 2 (mod 4).