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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A362811 Sphenic numbers (product of 3 distinct primes) sandwiched between two semiprimes (product of 2 primes).

Original entry on oeis.org

186, 266, 290, 322, 470, 518, 534, 582, 590, 670, 754, 790, 814, 894, 994, 1146, 1158, 1166, 1338, 1370, 1390, 1562, 1686, 1798, 1842, 1958, 2118, 2158, 2230, 2318, 2454, 2482, 2514, 2570, 2630, 2758, 2786, 2810, 2922, 2930, 2994, 3154, 3206, 3262, 3278, 3378, 3454, 3522, 3562
Offset: 1

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Author

Alexandru Petrescu, May 04 2023

Keywords

Comments

Every term k is even. Otherwise one of k-1 or k+1 would be a multiple of 4, hence not a semiprime.

Examples

			186 is a term because 186=2*3*31, 185=5*37, 187=11*17.
		

Crossrefs

Programs

  • Mathematica
    Select[Range[2, 3600, 2], FactorInteger[#][[;; , 2]] == {1, 1, 1} && PrimeOmega[# - 1] == 2 && PrimeOmega[# + 1] == 2 &] (* Amiram Eldar, May 05 2023 *)
  • PARI
    isok(k)=omega(k)==3 && bigomega(k)==3 && bigomega(k-1)==2 && bigomega(k+1)==2
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