A110596 Balanced numbers n such that n mod 12 = 11.

35, 124355, 1739507, 3281663, 3852155, 7649915, 9815195, 10434515, 13321295, 19154135, 19296035, 32807555, 36664595, 41523911, 50329955, 60668135, 69664595, 83338199, 107008811, 123543695, 145960451, 275361359, 321198059, 365269355, 393656879, 407002211

Offset: 1

Author

Walter Kehowski, Sep 13 2005

Keywords

• nonn

Comments

For the first 26 terms, the quotient (sigma(n)/phi(n)) is 2 or 3.

Links

• Amiram Eldar, Table of n, a(n) for n = 1..6654 (terms below 6.5*10^14, calculated using data from Jud McCranie)

Crossrefs

Intersection of A017653 and A020492.

Cf. A000010, A000203.

Programs

Maple

with(numtheory); BNM11:=[]: for z from 1 to 1 do for n from 1 to 500000 do m:=12*n+11; if sigma(m) mod phi(m) = 0 then BNM11:=[op(BNM11),m] fi; od; od; BNM11;

Mathematica

Select[Range[10^7], Mod[#, 12] == 11 && Divisible[DivisorSigma[1, #], EulerPhi[#]] &] (* Amiram Eldar, Dec 04 2019 *)

Extensions

a(6)-a(26) from Donovan Johnson, Aug 30 2012