A162856 - OEIS

%I #7 Mar 11 2014 01:32:42

%S 19,43,53,59,79,83,89,101,103,107,109,137,139,149,151,157,163,167,173,

%T 179,181,191,197,211,229,233,239,241,269,271,277,281,283,293,307,311,

%U 313,317,331,337,347,349,353,359,367,373,379,389,397,401,409,419,421

%N Those primes not in sequence A162855.

%e 59, a prime, in binary is 111011. There is a run of three 1's, followed by a run of one 0, followed by a run of two 1's. There is only one other permutation of these runs that starts with a run of 1's, is followed by a run of the single 0, and finishes with a run of 1s. The other such binary number is 110111, which is 55. Since 55 is composite, then 59 is in this sequence.

%Y Cf. A162855

%K base,nonn

%O 1,1

%A _Leroy Quet_, Jul 14 2009

%E Extended by _Ray Chandler_, Dec 18 2009