A176313 First of two consecutive numbers with at least one 3 in their prime signature.

135, 296, 343, 375, 999, 1160, 1431, 1592, 1624, 2295, 2375, 2456, 2727, 2888, 3429, 3591, 3624, 3752, 3992, 4023, 4184, 4887, 4913, 5048, 5144, 5319, 5480, 5831, 6183, 6344, 6375, 6615, 6776, 6858, 6859, 7479, 7624, 7640, 7749, 7911, 8072, 8375, 8775, 8936, 9125, 9207, 9368, 9624, 10071, 10232, 10375, 10503, 10632, 10664, 10984, 11124, 11319, 11367, 11528, 11624, 11799, 11960

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Dec 07 2010

Keywords

• nonn

Examples

			135 is a term since 135 = 3^3 * 5 and 136 = 2^3 * 17.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

A068140 lists the smallest of two consecutive numbers such that each is divisible by a cube greater than 1. See also A000578, A001235, A176297, A176350.

Programs

Mathematica

f[n_]:=MemberQ[Last/@FactorInteger[n], 3]; Select[Range[8!],f[#]&&f[#+1]&]

Extensions

Edited by Matthew Vandermast, Dec 09 2010