cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A015827 Numbers k such that phi(k + 9) | sigma(k).

Original entry on oeis.org

3, 5, 7, 10, 15, 21, 24, 30, 31, 33, 42, 47, 57, 69, 78, 79, 93, 102, 114, 127, 129, 135, 145, 161, 174, 177, 186, 210, 213, 216, 223, 231, 237, 238, 239, 249, 258, 264, 270, 282, 297, 309, 318, 355, 367, 371, 376, 393, 399, 402, 417, 418, 435, 438, 455, 456
Offset: 1

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Comments

Includes 6*A023204. Thus Dickson's conjecture implies the sequence is infinite. - Robert Israel, Jan 10 2019

Crossrefs

Programs

  • Maple
    filter:= n -> (numtheory:-sigma(n)/numtheory:-phi(n+9))::integer:
    select(filter, [$1..1000]); # Robert Israel, Jan 10 2019
  • Mathematica
    Select[Range[1000], Divisible[DivisorSigma[1, #], EulerPhi[9 + #]] &] (* David Nacin, Mar 01 2012 *)
  • PARI
    is(n)=sigma(n)%(eulerphi(n)+9)==0 \\ Charles R Greathouse IV, Sep 25 2012
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