A176167 First of a triple of consecutive integers, each the product of 4 distinct primes.

203433, 214489, 225069, 258013, 294593, 313053, 315721, 352885, 389389, 409353, 418845, 421629, 452353, 464385, 478905, 485133, 500905, 508045, 508989, 526029, 528409, 538745, 542269, 542793, 548301, 556869, 559689, 569065, 571233, 579885

Offset

1,1

Comments

A subsequence of A242607 and A016813. - M. F. Hasler, May 19 2014

Links

Zak Seidov, Table of n, a(n) for n = 1..1000

Example

203433 is a term: 203433 = 3*19*43*83, 203434 = 2*7*11*1321, 203435 = 5*23*29*61.

Mathematica

f1[n_]:=Last/@FactorInteger[n]=={1, 1, 1, 1}; f2[n_]:=Max[Last/@FactorInteger[n]]; lst={}; Do[If[f1[n]&&f1[n+1]&&f1[n+2], AppendTo[lst, n]], {n, 5*8!, 7*9!}]; lst

Prog

(PARI) forstep(n=1+10^5, 10^7, 4, for(k=n, n+2, issquarefree(k)||next(2)); for(k=n, n+2, omega(k)==4||next(2)); print1((n)", ")) \\ M. F. Hasler, May 19 2014

Crossrefs

Cf. A039833, A066509, A192203. Subsequence of A140078 and of A318896.

Sequence in context: A184455 A369898 A210017 * A248203 A235854 A203911

Adjacent sequences: A176164 A176165 A176166 * A176168 A176169 A176170

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Apr 10 2010

Status

approved