A175766 Greater of "twin numbers": Omega(n) = Omega(n - 2^Omega(n)), where Omega is A001222.

5, 7, 10, 13, 14, 19, 20, 25, 26, 28, 31, 38, 39, 40, 43, 50, 52, 55, 56, 61, 62, 69, 73, 76, 78, 80, 86, 91, 95, 100, 103, 104, 109, 110, 112, 115, 119, 122, 123, 124, 125, 133, 138, 139, 145, 146, 151, 152, 156, 159, 160, 172, 181, 182, 187, 190, 193, 199, 200, 205, 206, 208

Offset: 1

Author

Juri-Stepan Gerasimov, Sep 01 2010

Keywords

• nonn

Comments

Generalizes the twin primes. Superset of A006512.

Examples

			"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), ...
		

Crossrefs

Cf. A001222, A006512, A175612.

Programs

PARI

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

Extensions

Entry rewritten by Charles R Greathouse IV, Sep 01 2010