cp's OEIS Frontend

A208892 Two distinct sets of n consecutive numbers with identical corresponding prime signatures.

%I A208892 #27 May 28 2014 02:06:25
%S A208892 2,3,6,7,10,11,11,12,13,17,18,19,68,69,70,71,76,77,78,79,130,131,132,
%T A208892 133,134,138,139,140,141,142,88,89,90,91,92,93,232,233,234,235,236,
%U A208892 237,658,659,660,661,662,663,664,1090,1091,1092,1093,1094,1095,1096
%N A208892 Two distinct sets of n consecutive numbers with identical corresponding prime signatures.
%C A208892 The sets are chosen to minimize the larger of the two start values, so for example, (6,7) and (10,11) would be chosen over (5,6) and (13,14) since 10 is less than 13.
%C A208892 The sequence can be read as follows:
%C A208892 2,                           3,
%C A208892 6,7,                         10,11,
%C A208892 11,12,13,                    17,18,19,
%C A208892 68,69,70,71,                 76,77,78,79,
%C A208892 130,131,132,133,134,         138,139,140,141,142
%C A208892 88,89,90,91,92,93,           232,233,234,235,236,237
%C A208892 658,659,660,661,662,663,664, 1090,1091,1092,1093,1094,1095,1096
%C A208892 etc
%H A208892 Matthijs Coster, <a href="/A208892/a208892_1.txt">improved Sage program for computing A208892</a>
%e A208892 At n=4, the consecutive numbers 68, 69, 70, and 71 have the same prime signature as 76, 77, 78, and 79.  Both have the form p^2*q, p*q, p*q*r, and p, respectively.
%Y A208892 Cf. A208893, A208894.
%Y A208892 Cf. A046523 (smallest number with same prime signature as n).
%K A208892 nonn,tabf
%O A208892 1,1
%A A208892 _Matthijs Coster_, Mar 03 2012