The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A075587 Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 7. 10
 53, 61, 157, 229, 307, 439, 613, 757, 769, 823, 853, 859, 883, 907, 937, 967, 1009, 1297, 1423, 1429, 1447, 1483, 1489, 1549, 1597, 1663, 1693, 1993, 2083, 2137, 2203, 2239, 2389, 2437, 2659, 2689, 2707, 2749, 2833, 2857, 2953, 3019, 3037, 3163, 3187 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Daria Micovic, Table of n, a(n) for n = 1..10000 MATHEMATICA pd[n_]:=Transpose[FactorInteger[n]][[1]]; Transpose[Select[ Partition[ Prime[ Range[500]], 2, 1], Length[Union[Flatten[ pd/@Range[First[#]+1, Last[#]-1]]]] == 7&]][[1]] (* Harvey P. Dale, Jun 15 2013 *) Select[Prime@ Range@ 500, Length@ Union@ Flatten@ Map[First /@ FactorInteger@ # &, Select[Range[#, NextPrime@ #], CompositeQ]] == 7 &] (* Michael De Vlieger, May 27 2016 *) CROSSREFS Cf. A052297, A075581, A075580, A059960, A075583, A075584, A075585, A075586, A075588, A075589. Sequence in context: A126665 A279191 A107160 * A102635 A036268 A326169 Adjacent sequences:  A075584 A075585 A075586 * A075588 A075589 A075590 KEYWORD nonn AUTHOR Amarnath Murthy, Sep 26 2002 EXTENSIONS Corrected and extended by Matthew Conroy, Apr 30 2003 Name edited by Michel Marcus, May 28 2016 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 26 11:48 EDT 2020. Contains 337371 sequences. (Running on oeis4.)