

A208892


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


3



2, 3, 6, 7, 10, 11, 11, 12, 13, 17, 18, 19, 68, 69, 70, 71, 76, 77, 78, 79, 130, 131, 132, 133, 134, 138, 139, 140, 141, 142, 88, 89, 90, 91, 92, 93, 232, 233, 234, 235, 236, 237, 658, 659, 660, 661, 662, 663, 664, 1090, 1091, 1092, 1093, 1094, 1095, 1096
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

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.
The sequence can be read as follows:
2, 3,
6,7, 10,11,
11,12,13, 17,18,19,
68,69,70,71, 76,77,78,79,
130,131,132,133,134, 138,139,140,141,142
88,89,90,91,92,93, 232,233,234,235,236,237
658,659,660,661,662,663,664, 1090,1091,1092,1093,1094,1095,1096
etc


LINKS

Table of n, a(n) for n=1..56.
Matthijs Coster, improved Sage program for computing A208892


EXAMPLE

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.


CROSSREFS

Cf. A208893, A208894.
Cf. A046523 (smallest number with same prime signature as n).
Sequence in context: A033495 A006877 A263881 * A085397 A073439 A188084
Adjacent sequences: A208889 A208890 A208891 * A208893 A208894 A208895


KEYWORD

nonn,tabf


AUTHOR

Matthijs Coster, Mar 03 2012


STATUS

approved



