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

1,1

Comments

Generalizes the twin primes. Superset of A006512.

Links

Table of n, a(n) for n=1..62.

Example

"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), ...

Prog

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

Crossrefs

Cf. A001222, A006512, A175612.

Sequence in context: A097700 A172321 A154689 * A243187 A333308 A179196

Adjacent sequences: A175763 A175764 A175765 * A175767 A175768 A175769

Keyword

nonn

Author

Juri-Stepan Gerasimov, Sep 01 2010

Extensions

Entry rewritten by Charles R Greathouse IV, Sep 01 2010

Status

approved