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 A075585 Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5. 10
 19, 23, 37, 43, 97, 127, 223, 499, 673, 1213, 2309, 2729, 6089, 6269, 7589, 8969, 9239, 9281, 10709, 11549, 11969, 12539, 13397, 14321, 15329, 16829, 17489, 18059, 19139, 19379, 19469, 19889, 20747, 21317, 21839, 22109, 22619, 23369, 23561, 24179 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 MATHEMATICA dpd5Q[p_]:=Length[Union[Flatten[FactorInteger[#][[All, 1]]&/@Range[ p+1, NextPrime[ p]-1]]]]==5; Select[Prime[Range[3000]], dpd5Q] (* Harvey P. Dale, Aug 11 2021 *) PROG (MAGMA) a:=[]; for k in PrimesInInterval(2, 25000) 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 5 then  Append(~a, k); end if; end for; a; // Marius A. Burtea, Sep 26 2019 CROSSREFS Cf. A052297, A075581, A075580, A059960, A075583, A075584, A075586, A075587, A075588, A075589. Sequence in context: A343741 A060269 A245382 * A052030 A045297 A039292 Adjacent sequences:  A075582 A075583 A075584 * A075586 A075587 A075588 KEYWORD nonn AUTHOR Amarnath Murthy, Sep 26 2002 EXTENSIONS More terms from Sam Alexander, Oct 21 2003 STATUS approved

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Last modified December 1 05:33 EST 2021. Contains 349426 sequences. (Running on oeis4.)