%I #13 Sep 08 2022 08:45:07
%S 7,29,41,59,101,137,149,179,197,227,239,269,281,311,347,521,599,617,
%T 641,809,821,827,881,1031,1061,1277,1451,1487,1607,1619,1667,1697,
%U 1787,1871,1877,1997,2027,2081,2087,2111,2237,2267,2381,2657,2687,2711,2801,2999
%N Primes p such that the composite numbers between p and the next prime together contain exactly three distinct prime factors.
%C p+2 is prime for all members p except 7. - _David Wasserman_, Jan 20 2005
%H Amiram Eldar, <a href="/A075583/b075583.txt">Table of n, a(n) for n = 1..10000</a>
%o (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
%Y Cf. A052297, A075580, A059960, A075584, A075585, A075586, A075587, A075588, A075589.
%Y See A080899 for another version.
%K nonn
%O 1,1
%A _Amarnath Murthy_, Sep 26 2002
%E More terms from _David Wasserman_, Jan 20 2005