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 A075583 Primes p such that the composite numbers between p and the next prime together contain exactly three distinct prime factors. 11
 7, 29, 41, 59, 101, 137, 149, 179, 197, 227, 239, 269, 281, 311, 347, 521, 599, 617, 641, 809, 821, 827, 881, 1031, 1061, 1277, 1451, 1487, 1607, 1619, 1667, 1697, 1787, 1871, 1877, 1997, 2027, 2081, 2087, 2111, 2237, 2267, 2381, 2657, 2687, 2711, 2801, 2999 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS p+2 is prime for all members p except 7. - David Wasserman, Jan 20 2005 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 PROG (Magma) a:=[]; for k in PrimesInInterval(2, 3000) do b:={}; for s in [k..NextPrime(k)-1] do if not IsPrime(s) then b:=b join Set(PrimeDivisors(s)); end if; end for; if #Set(b) eq 3 then Append(~a, k); end if; end for; a; // Marius A. Burtea, Sep 26 2019 CROSSREFS Cf. A052297, A075580, A059960, A075584, A075585, A075586, A075587, A075588, A075589. See A080899 for another version. Sequence in context: A156124 A155476 A166970 * A103603 A045465 A330723 Adjacent sequences: A075580 A075581 A075582 * A075584 A075585 A075586 KEYWORD nonn AUTHOR Amarnath Murthy, Sep 26 2002 EXTENSIONS More terms from David Wasserman, Jan 20 2005 STATUS approved

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Last modified January 26 18:02 EST 2023. Contains 359833 sequences. (Running on oeis4.)