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Numbers n such that n and its 9's complement both have the same prime signature.
1

%I #8 Dec 05 2013 19:56:21

%S 2,7,14,22,34,65,77,85,93,97,102,105,106,114,133,134,138,161,165,205,

%T 206,214,218,221,222,234,253,254,258,262,265,275,278,301,302,305,306,

%U 314,345,354,357,365,377,413,414,437,438,445,446,454,465,466,473,475

%N Numbers n such that n and its 9's complement both have the same prime signature.

%C Conjecture: (1) Sequence is infinite. (2) For every prime signature there corresponds a term in this sequence.

%e 34 is a member as 34= 2*17 and its 9's complement (99-34) = 65 = 13*5 both have the prime signature p*q.

%Y Cf. A087325.

%K base,nonn

%O 1,1

%A _Amarnath Murthy_, Sep 04 2003

%E Corrected and extended by _David Wasserman_, May 06 2005