A175766 - OEIS

%I #4 Mar 31 2012 21:03:15

%S 5,7,10,13,14,19,20,25,26,28,31,38,39,40,43,50,52,55,56,61,62,69,73,

%T 76,78,80,86,91,95,100,103,104,109,110,112,115,119,122,123,124,125,

%U 133,138,139,145,146,151,152,156,159,160,172,181,182,187,190,193,199,200,205,206,208

%N Greater of "twin numbers": Omega(n) = Omega(n - 2^Omega(n)), where Omega is A001222.

%C Generalizes the twin primes. Superset of A006512.

%e "Twin numbers" are (3, 5), (5, 7), (6, 10), (11, 13), (10, 14), (17, 19), (12, 20), (21, 25), (22, 26), (20, 28), (29, 31), (34, 38), (35, 39), (24, 40), (41, 43), (42, 50), (44, 52), (51, 55), (40, 56), (59, 61), (58, 62), (65, 69), (71, 73), ...

%o (PARI) for(n=1,1e3,o=bigomega(n);trap(, ,if(o==bigomega(n-2^o),print1(n","))))

%Y Cf. A001222, A006512, A175612.

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, Sep 01 2010

%E Entry rewritten by _Charles R Greathouse IV_, Sep 01 2010