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A110599 Balanced numbers n such that n mod 12 = 7. 1
24871, 58435, 140335, 1529983, 2086903, 3722875, 3830827, 8697535, 13932919, 16408315, 21578755, 27882595, 76319155, 126245119, 183531439, 192871987, 198394675, 207619555, 229523371, 337800463, 361504507, 416690995, 440127655, 535044055, 693298315, 729802255 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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..7901 (terms below 6.5*10^14, calculated using data from Jud McCranie)

MAPLE

with(numtheory); BNM7:=[]: for z from 1 to 1 do for m from 1 to 1000000 do n:=12*m+7; if sigma(n) mod phi(n) = 0 then BNM7:=[op(BNM7), n] fi; od; od; BNM7;

MATHEMATICA

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

CROSSREFS

Intersection of A017605 and A020492.

Cf. A000010, A000203, A062699.

Sequence in context: A184093 A252639 A252146 * A199857 A138717 A139776

Adjacent sequences:  A110596 A110597 A110598 * A110600 A110601 A110602

KEYWORD

nonn

AUTHOR

Walter Kehowski, Sep 13 2005

EXTENSIONS

Duplicate terms removed and a(8)-a(26) from Donovan Johnson, Aug 30 2012

STATUS

approved

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Last modified June 24 23:16 EDT 2021. Contains 345445 sequences. (Running on oeis4.)